Answer:
The terms of "2/10, n/30 R.O.G." mean that the buyer (Air Yukon) can take a cash discount of 2% if they pay the invoice within 10 days. Otherwise, the full amount is due within 30 days of the invoice date. "R.O.G." means "receipt of goods," indicating that the 30-day period begins on September 2, the date Air Yukon received the shipment.
To determine the last day for taking the cash discount, we start with the date of the invoice, August 15, and add 10 days for the discount period. This gives us August 25, which is the last day Air Yukon can pay the invoice and still receive the 2% discount.
If Air Yukon takes the cash discount, they will pay 98% of the invoice amount. We don't know the exact amount of the invoice from the information given, but if we assume it was $1,000, Air Yukon would pay $980 if they take the cash discount ($1,000 x 0.98).
If the gravitational force produced between two masses kept 2 m apart is 100 N, what will be its value when the masses are kept 4m apart? Show your calculation.) Ans: 25 N
If the gravitational force produced between two masses kept 2 m apart is 100 N, the value when the masses are kept 4m apart is 25N
How can the gravitational force be calculated?The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth.
Since we were given the first force as 100 N and X represent he second force , then the distance between the mass at first was 2m , and the second is 4m, the we can calculate as
[tex]\frac{100}{x} =\frac{4^{2} }{2^{2} }[/tex]
[tex]\frac{100}{x} =\frac{16}{4}[/tex]
[tex]x=\frac{4*100}{16}[/tex]
[tex]X=25 N[/tex].
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Help me!!! absolutely dying rn 5 stars to anyone who helps
Answer:
11a)
A regular hexagon (6 sides) is given. Because it is regular, every interior angle has the same value.
We know that the sum of the interior angles of a triangle is 180°. Using this information, we can break this hexagon up into 4 triangles:
Given each triangle's interior angles sum to 180°, and we have 4 triangles, the total sum of the interior angles of the entire hexagon is
180*4 = 720
The sum of the interior angles of the hexagon is 720°.
11b)
The same idea can be applied:
This time a regular decagon (10 sides) is given. This shape can be broken up into 8 triangles (This value will always be the number of sides - 2).
We can now multiply to find the total sum of the interior angles.
180*8 = 1440
The sum of the interior angles of the decagon is 1440°.
(The formula to solve for interior angle sum of regular shapes is 180 * (number of sides - 2)
11c)
To find the measure of one interior angle of a regular octagon (8 sides), we must take the total sum of the interior angles and divide that by 8 (to find the value of 1 angle).
First, find the interior sum value using interior angle sum formula:
180 * (8-2) = 180 * 6 = 1080°
Now we can divide this by 8 to find the sum of one interior angle:
1080/8 = 135°
The value of one interior angle of a regular octagon is 135°.
(The formula to solve for one interior angle of a regular shape is
[180 * (number of sides - 2)] / number of sides
11d)
The sum of the exterior angles of any polygon is 360°.
An easy way to demonstrate this idea is with an equilateral triangle (every interior angle is 60°). If the interior angle is 60°, the exterior angle is 120° (supplemental theorem).
A triangle has 3 angles: 120 * 3 = 360°. The sum of exterior angles is 360°.
For a heptagon (7 sides), or any other polygon, the same result will be found.
(In order to algebraically solve this however, you would find the value of one interior angle using the formula above, subtract that value from 180 to find the value of one exterior angle, and then multiply the value of one exterior angle by 7 for a heptagon).
11e)
Given the sum of exterior angles is 360°, we can simply divide 360 by the number of sides to find the value of one exterior angle.
360 / 7 = 51.42857...
The measure of one exterior angle of the heptagon is about 51.4°.
..................................................................
Answer:
[tex]\mathrm{y=\frac{2}{5}x+2}[/tex]
Step-by-step explanation:
[tex]\mathrm{Here,\ we\ see\ that\ the\ line\ passes\ through\ (-5,0)\ and\ (0,2).}\\\mathrm{So\ the\ equation\ of\ line\ is:}\\\\\mathrm{y-0=\frac{2-0}{0-(-5)}(x-(-5))}\\\mathrm{or,\ y=\frac{2}{5}(x+5)}\\\mathrm{or,\ 5y=2x+10}\\\mathrm{or,\ y=\frac{2}{5}x+2}[/tex]
Alternative method:
[tex]\mathrm{Here,}\\\mathrm{x-intercept(a)=-5}\\\mathrm{y-intercept(b)=2}\\\mathrm{Now,}\\\mathrm{Equation\ of\ the\ line\ is:}\\\mathrm{\frac{x}{a}+\frac{y}{b}=1}\\\\\mathrm{or,\ \frac{x}{-5}+\frac{y}{2}=1}\\\\\mathrm{or,\ \frac{2x-5y}{-10}=1}\\\\\mathrm{or,\ 2x-5y=-10}\\\mathrm{or,\ 5y=2x+10 }\\\\\mathrm{or,\ y=\frac{2}{5}x+2\ is\ the\ required\ equation.}[/tex]
Answer:
[tex]y=\dfrac{2}{5}x+2[/tex]
Step-by-step explanation:
To determine the equation of the graphed line, first identify two points on the line:
(-5, 0)(0, 2)Substitute these points into the slope formula to find the slope (m) of the line:
[tex]\textsf{Slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-0}{0-(-5)}=\dfrac{2}{5}[/tex]
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
The line crosses the y-axis at y = 2. Therefore, the y-intercept is 2.
Substitute the found slope and the y-intercept into the slope-intercept formula to create an equation of the graphed line:
[tex]\boxed{y=\dfrac{2}{5}x+2}[/tex]
What is the volume of a cone where the radius is 6cm and the height 25cm
Answer:
Step-by-step explanation:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
[tex]=\frac{1}{3} \times\pi \times6^2\times25[/tex]
[tex]=\frac{36\times25}{3\pi }[/tex]
[tex]=\frac{300}{\pi }[/tex]
[tex]=95.49\text{cm}^3[/tex]
Before the search and collection of evidence, there must be _______.
A. Informed consent by the owner
B. A crime
C. A chain of custody
D. A search warrant
I’m stuck between D and B because law enforcement can conduct a search without a search warrant if there is consent by the owner. It is not C because that would be either during or after the collection of evidence.
Answer:
D) A search warrant
Step-by-step explanation:
A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.
Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.
By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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Determine the company's accounting equation, and label each element as a debit amount or a credit amount. If you use $ for the owner's equity, why is the accounting equation out of balance?
Complete the accounting equation below, and then below each element, select whether it is a debit or credit account. Finally, enter the amount for each element into the accounting equation, using $ for owner's equity. Note that the equation will not balance.
Winchester Cottage Management Services
Unadjusted Trial Balance
March 31, 2022
Balance
Account Title
Debit
Credit
Cash
$19,205
Accounts receivable
4,900
Supplies
280
Land
13,000
Building
38,000
Accounts payable
$1,000
Note payable
44,900
Noah Calef, capital
29,000
Noah Calef, withdrawals
1,550
Service revenue
7,900
Interest expense
360
Rent expense
1,700
Salaries expense
3,600
Utilities expense
205
Total
$82,800
$82,800
The adjusted accounting equation would be:Assets = Liabilities + Owner’s Equity Assets = $0 + $83,800 + $360Assets = $84,160
The accounting equation is an essential part of any business or organization as it represents the fundamental relationship between assets, liabilities, and owner’s equity.
It is expressed as Assets = Liabilities + Owner’s Equity. To determine the company's accounting equation and label each element as a debit amount or a credit amount,
we need to analyze the given information. Here's the solution:Given data:$1,000360 Utilities expense$82,800
We can conclude that the accounting equation is as follows:Assets = Liabilities + Owner's Equity Assets = $0 + $83,800 (since there is no given liability)Assets = $83,800
We can now calculate the debit and credit amounts of each element:Utilities expense: debit $1,000Owner’s Equity: credit $83,800
The accounting equation is out of balance because the $360 of utilities expenses were recorded as a debit, reducing the balance of assets to $83,440.
Therefore, to balance the equation, we must increase the owner’s equity by the same amount, i.e., $360. This balances the equation and ensures that all transactions are accurately recorded in the books of accounts.
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Your teacher will grade your response to this question to ensure you receive proper credit for your answer.
The equation (x + 6)2 + (y + 4)2 = 36 models the position and range of the source of a radio signal. Describe the position of the source and the range of the signals.
SOMEONE PLEAS HELP!
a is a geometric sequence where the 1st term of the sequence is -1/4 and the 8th term of the sequence is -1/512. Find the 6th partial sum of the sequence.
The 6th partial sum of the geometric sequence is 63/4.
What is 6th partial sum of the sequence?To find the 6th partial sum of a geometric sequence, we first need to determine the common ratio (r) of the sequence.
Given that the 1st term (a₁) is -1/4 and the 8th term (a₈) is -1/512, we can use these values to find the common ratio.
We have the formula for the nth term of a geometric sequence:
aₙ = a₁ * r^(n-1)
Using this formula, we can write two equations based on the given information:
a₈ = a₁ * r⁸⁻¹
-1/512 = -1/4 * r⁷
Simplifying the equation:
r⁷ = (1/4) / (1/512)
r⁷ = (1/4) * (512/1)
r⁷ = 128
r = ∛(128)
r = 2
Now that we have the common ratio (r = 2), we can find the 6th partial sum (S₆) using the formula:
Sₙ = a₁ * (1 - rⁿ) / (1 - r)
Plugging in the values:
S₆ = (-1/4) * (1 - 2⁶) / (1 - 2)
S₆ = (-1/4) * (1 - 64) / (-1)
S₆ = (-1/4) * (-63) / (-1)
S₆ = 63/4
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Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table
The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.
To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.
The formula for calculating compound interest is as follows:
A = P(1 + r/n) ^nt,
where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.
The table is given below:
[tex]\begin{array}{|c|c|c|} \hline \text{n} &
\text{A = P(1 + r/n) }^{nt} &
\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &
\text{3100(1 + 0.04/1)}^{1*10} &
\text{\$4788.03} \\ \hline \text{2} &
\text{3100(1 + 0.04/2)}^{2*10} &
\text{\$4798.76} \\ \hline \text{4} &
\text{3100(1 + 0.04/4)}^{4*10} &
\text{\$4817.46} \\ \hline \text{12} &
\text{3100(1 + 0.04/12)}^{12*10} &
\text{\$4861.94} \\ \hline \end{array}[/tex]
The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.
In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.
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The drive from city A to city D is 320 miles. On this route you pass cities B and C before reaching city D. It is 82 miles less form City A to city B than it is from city C to City D and 40 miles farther from city B to city C than from city A to city B. How far is it from city B to city D?
The distance from City B to City D is 194 miles.
How to find the distance from city B to city DNow, let's add up the distances to find the relationship between them:
Distance from City A to City D = Distance from City A to City B + Distance from City B to City C + Distance from City C to City D
320 miles = x miles + (x + 40) miles + (x + 82) miles
Now, let's solve this equation:
320 = 3x + 122
Subtracting 122 from both sides:
198 = 3x
Dividing both sides by 3:
x = 66
Therefore, the distance from City B to City D is:
Distance from City B to City D = Distance from City B to City C + Distance from City C to City D
Distance from City B to City D = (x + 40) + (x + 82)
Distance from City B to City D = 66 + 40 + 66 + 82
Distance from City B to City D = 194 miles
Hence, the distance from City B to City D is 194 miles.
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Help, please! Find the VOLUME of this complex shape.
Step-by-step explanation:
volume= length×breadth×height
8-3-3= 2 cm
2×2×4= 16 cm^2
4-2= 2 cm
3×2×4= 24 cm^2
3×4×4= 48 cm^2
total volume
= 16+24+48
= 88 cm^2
Enter the fraction 4/5 as a mixed number.
Enter the correct answer in the box.
Answer:
1 1/4
Step-by-step explanation:
5/4 can be decomposed as 4/4 + 1/4
so, 1 + 1/4
or in mixed number notation,
1 1/4
Answer:
1 1/4
Step-by-step explanation:
assuming that the real question, see the picture you put, asks for 5/4 and not 4/5, (4/5 is not a whole number). Let's solve 5/4, with 4/4 you have 1 and you are left with 1/4, so the answer is 1 1/4
81a^2+5b^2
factor, but this is algebra and intro to pre-calc
The expression 81a² + 5b² cannot be factored
How to factor the expressionfrom the question, we have the following parameters that can be used in our computation:
81a² + 5b²
using the above as a guide, we have the following:
The terms of the expression cannot be factored
This is so because they do not have any common factor
Hence, the expression 81a² + 5b² cannot be factored
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Two investment portfolios are shown
In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10
How to solveThe formula to calculate the future value of an investment using simple annual interest is:
[tex]FV = PV * (1 + r)^n[/tex]
where:
FV = Future Value
PV = Present Value (the initial investment)
r = interest rate per period
n = number of periods
For Portfolio A (7%):
[tex]FV_A = $5000 * (1 + 0.07)^5[/tex]
= $5000 * 1.40255
= $7012.75
For Portfolio B (9%):
[tex]FV_B = $5000 * (1 + 0.09)^5[/tex]
= $5000 * 1.53862
= $7693.10
In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10
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The Complete Question
Two investment portfolios are shown, Portfolio A with a return of 7% annually and Portfolio B with a return of 9% annually. If you invest $5000 in each portfolio, what will be the total value of each portfolio after 5 years?
To calculate the variance for a population, SS is divided by N-1. True or False?
To calculate the variance for a population, the sum of squares (SS) is divided by the total number of observations in the population (N), not N-1. False.
The formula for population variance is:
Variance = SS/N
Where SS is the sum of squares, calculated by summing the squared differences between each observation and the population mean.
Dividing by N in the formula gives the population variance, which represents the average squared deviation from the population mean. This formula provides an unbiased estimate of the true variance of the entire population.
On the other hand, when calculating the variance for a sample (a subset of the population), we divide the sum of squares by N-1.
This correction factor of N-1 is used to account for the degrees of freedom lost when estimating the population variance from a sample.
By dividing by N-1, we obtain an unbiased estimate of the variance of the larger population from which the sample was drawn.
Therefore, for calculating the variance of a population, SS is divided by N, not N-1.
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Every student of a school donated as much money as their number to make a fund for Corona- virus victims. If they collected Rs.13225 altogether, how many students donated money in the fund?
Answer:
The problem statement suggests that the series of donations is arithmetic, as each student's donation increases by one as their number increases. Therefore, we can apply the formula for the sum of an arithmetic series to solve this problem.
In an arithmetic series, the sum S of n terms is given by:
S = n/2 * (a + l)
where:
- n is the number of terms (which represents the number of students in this case),
- a is the first term (in this case, the first student's number, which would be 1), and
- l is the last term (in this case, the last student's number, which we don't know yet).
Given that S = Rs. 13225, we have:
13225 = n/2 * (1 + l)
Since this is an arithmetic series starting from 1, the last term, l, is equal to n. Thus, we can substitute l with n:
13225 = n/2 * (1 + n)
Multiplying through by 2 to clear the fraction gives:
26450 = n * (1 + n)
Rearranging to a quadratic equation gives:
n^2 + n - 26450 = 0
This is a quadratic equation in the form of ax^2 + bx + c = 0. To solve for n, we can use the quadratic formula, n = [-b ± sqrt(b^2 - 4ac)] / (2a). But since n cannot be negative in this context (as it represents the number of students), we will only consider the positive root.
Applying the quadratic formula, we find that the positive root is approximately 162.5. However, the number of students must be a whole number. Therefore, the number of students is 163, because the 163rd student did not donate fully as per their number, and that's why the total amount doesn't reach the full sum for 163 students.
So, there were 163 students who donated money to the fund.
Question Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.4 feet and a standard deviation of 0.4 feet. A sample of 38 men's step lengths is taken. Step 1 of 2: Find the probability that an individual man's step length is less than 1.9 feet. Round your answer to 4 decimal places, if necessary.
The probability that an individual man's step length is less than 1.9 feet is approximately 0.1056 or 10.56% (rounded to 4 decimal places).
Explain probabilityProbability is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution,
According to the given informationThe standardized value, also known as the z-score, is given by:
[tex]Z = \dfrac{(\text{x} - \mu)}{\sigma}[/tex]
Substituting the given values, we get:
[tex]Z = \dfrac{(1.9 - 2.4)}{0.4}[/tex]
[tex]Z = -1.25[/tex]
Now we need to find the probability that an individual man's step length is less than 1.9 feet, which is equivalent to finding the area under the standard normal distribution curve to the left of the z-score -1.25.
Using a standard normal distribution table or calculator, we can find that the area to the left of -1.25 is 0.1056.
Therefore, the probability that an individual man's step length is less than 1.9 feet is approximately 0.1056 or 10.56% (rounded to 4 decimal places).
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Angle a, b and c have a sum of 180 degrees. Prove that Sina +sinb - siny = y/2 * sinb/2 * cosc/2
4sin((a + b)/2)cos((a + b)/2)cos((a - b)/2) = 4sin(b/2)cos(c/2)
We can prove that sin(a) + sin(b) - sin(c) = (y/2) * sin(b/2) * cos(c/2).
How do we know?We apply the sum-to-product trigonometric identities.
We will express sin(c) as sin(180 - a - b):
sin(c) = sin(180 - a - b)
sin(180 - a - b) = sin(180)cos(a + b) + cos(180)sin(a + b)
= 0 * cos(a + b) + (-1) * sin(a + b)
= -sin(a + b)
substituting the expression for sin(c), we have:
sin(a) + sin(b) - sin(c) = sin(a) + sin(b) - (-sin(a + b))
= sin(a) + sin(b) + sin(a + b)
We know also that sin(A) + sin(B) = 2sin((A + B)/2)cos((A - B)/2),
sin(a) + sin(b) + sin(a + b) = 2sin((a + b)/2)cos((a - b)/2) + 2sin(a/2)cos(a/2) + 2sin(b/2)cos(b/2)
= 2sin((a + b)/2)(cos((a - b)/2) + cos(a/2) + cos(b/2))
= 2sin((a + b)/2)(cos((a - b)/2) + cos((a + b)/2))
Using the identity of cos(A) + cos(B) = 2cos((A + B)/2)cos((A - B)/2):
2sin((a + b)/2)(cos((a - b)/2) + cos((a + b)/2)) = 2sin((a + b)/2)(2cos((a + b)/2)cos((a - b)/2))
= 4sin((a + b)/2)cos((a + b)/2)cos((a - b)/2)
4sin((a + b)/2)cos((a + b)/2)cos((a - b)/2) = 4sin(b/2)cos(c/2)
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Find the sum and difference of the greatest and smallest dig- its formed by the given numbers. i. 5,6
The sum of the greatest digit formed by the given numbers as required is; 11.
The difference of the greatest digit formed by the given numbers as required is; 1.
What is the sum and difference of the smallest and greatest number?It follows from the task content that the given digits are ; 5 and 6.
Hence, the greatest digit is 6 while the smallest digit is 5.
Hence, the sum of both digits is; 6 + 5 = 11.
The difference of both digits is; 6 - 5 = 1.
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..............................................
Answer:
A
Step-by-step explanation:
help last question and only 45 min left
It should be noted that since the total volume of concrete figures is 5 cubic feet, the library should order 6 cubic feet of concrete to minimize leftover concrete.
How to calculate the valueWe can also solve this problem by using the following equation:
Total volume of concrete figures = Number of figures * Volume of each figure
Plugging in the known values, we get:
Total volume of concrete figures = 5 figures * 1 cubic foot/figure = 5 cubic feet
Since the total volume of concrete figures is 5 cubic feet, the library should order 6 cubic feet of concrete to minimize leftover concrete.
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loan amount $17,000 simple interest 6.8% total interest $867 loan in months
The monthly payment on the loan would be approximately $2,023.52.
To calculate the loan in detail, we need to determine the time period and the monthly payment. Let's break down the given information:
Loan amount: $17,000
Simple interest rate: 6.8%
Total interest: $867
First, we can calculate the interest amount using the formula for simple interest:
Interest = Principal × Rate × Time
We know the interest amount is $867, and the principal (loan amount) is $17,000. Let's solve for time (in years):
867 = 17,000 × 0.068 × Time
Dividing both sides of the equation by (17,000 × 0.068), we get:
Time = 867 / (17,000 × 0.068)
Time ≈ 0.7596 years
Since the loan term is usually expressed in months, we multiply the above result by 12 to convert it to months:
Time in months = 0.7596 × 12
Time in months ≈ 9.1152 months
Now that we have the time period in months, we can calculate the monthly payment (P) using the formula:
P = (Principal + Total Interest) / Time in months
P = (17,000 + 867) / 9.1152
P ≈ 2,023.52
Therefore, the monthly payment on the loan would be approximately $2,023.52.
To summarize, for a loan amount of $17,000 with a simple interest rate of 6.8% and a total interest of $867, the loan term would be approximately 9.1152 months, and the monthly payment would be around $2,023.52.
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Calculate the length of segment CD, given that AE is tangent to the circle, AE = 12, and EC = 8.
The length of segment CD is approximately 28.84.
To calculate the length of segment CD, we need to use the properties of a tangent line and the given information.
In a circle, when a line is tangent to the circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle AEC is a right triangle.
Given that AE = 12 and EC = 8, we can use the Pythagorean theorem to find the length of AC, which is the hypotenuse of triangle AEC.
AC^2 = AE^2 + EC^2
AC^2 = 12^2 + 8^2
AC^2 = 144 + 64
AC^2 = 208
Taking the square root of both sides:
AC = √208
AC ≈ 14.42
Now, segment CD is a part of the diameter of the circle and passes through the center of the circle. Therefore, it is twice the length of the radius.
CD = 2 * AC
CD = 2 * 14.42
CD ≈ 28.84
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A bus is scheduled to leave the terminal at 10:15 in the morning and travel for 5 3/4 hours to Bally city. If the bus leaves the terminal 35 minutes late, when will it arrive in Bally city?
Answer:
Step-by-step explanation:
3/4 hours=3/4×60=45 minutes
10:15+5.45 hrs=16:00+0:35=16:35=4.35 pm
so C
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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Norma owns and operates an accounting business as a sole proprietor. She purchased several computers at a cost of $9,000 for use in her business. Her business produced $120,000 of net income. Assume that she purchased the computers (5-year property) and placed them into service on January 11th of the current year. What is the amount of the cost recovery deductions for the first 3 years under MACRS? [The MACRS Table is shown under Course Supplement Materials.] (Be sure to show your work). Calculate the cost recovery deduction for the first 3 years if Norma elects straight-line depreciation. (Show your work). What is the cost recovery deduction she can use for each year under Section 179?
The cost recovery deductions for the first 3 years under MACRS are as follows:
Year 1: $1,800
Year 2: $2,304
Year 3: $941 (rounded)
Let's determine the cost recovery deductions under MACRS for the first 3 years:
Lets determine the property class for the computers.
Since the computers are 5-year property, they fall under the "5-Year Property" class.
Now determine the MACRS depreciation percentages for the property class.
Referring to the MACRS table, the depreciation percentages for 5-Year Property are as follows:
Year 1: 20.00%
Year 2: 32.00%
Year 3: 19.20%
Calculate the cost recovery deduction for each year.
Year 1:
Cost Recovery Deduction = Cost of Computers × Depreciation Percentage for Year 1
= $9,000 × 20.00%
= $1,800
Year 2:
Cost Recovery Deduction = (Cost of Computers - Accumulated Depreciation)×Depreciation Percentage for Year 2
= ($9,000 - $1,800) ×32.00%
= $7,200× 32.00%
= $2,304
Year 3:
Cost Recovery Deduction = (Cost of Computers - Accumulated Depreciation) × Depreciation Percentage for Year 3
= ($9,000 - $1,800 - $2,304) × 19.20%
= $4,896 × 19.20%
= $940.99 (rounded to nearest dollar)
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is making a large table in the shape of a trapezoid, as shown. She needs to calculate the area of the table. She is making the longest side of the table twice as long as the table's width. Complete parts a and b below.
Answer:
Step-by-step explanation:
Answer:
Chloe is making a large table in the shape of a trapezoid, as shown. She needs to calculate the area of the table. She is making the longest side of the table twice as long as the table's width. Complete parts a and b below.
a) Write an expression for the area of the table in terms of the width x.
One possible expression is:
A = (x + 2x) * h / 2
where A is the area of the table, x is the width of the table, and h is the height of the table.
To get this expression, we use the formula for the area of a trapezoid :
A = (a + b) * h / 2
where a and b are the lengths of the parallel sides of the trapezoid. Since Chloe is making the longest side of the table twice as long as the width, we can write:
a = x
b = 2x
Substituting these values into the formula, we get:
A = (x + 2x) * h / 2
b) Simplify the expression and find the area of the table if x = 3 feet and h = 4 feet.
To simplify the expression, we can combine like terms and apply the order of operations:
A = (x + 2x) * h / 2
A = (3x) * h / 2
A = 3 * x * h / 2
To find the area of the table if x = 3 feet and h = 4 feet, we can plug in these values into the simplified expression:
A = 3 * x * h / 2
A = 3 * 3 * 4 / 2
A = 9 * 4 / 2
A = 36 / 2
A = 18
Therefore, the area of the table is 18 square feet.
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What decimal number is represented by the light bulbs shown in the figure?
The decimal number which is represented by the light bulbs shown in the figure is 39.0
We have to find the decimal number which is represented by the the light bulbs.
Let us take the light bulbs as 1 and not lighted are 0.
The binary numeral of the light bulbs shown in the figure is 00100111.
Now let us find the decimal number.
(0×2⁷)+(0×2⁶)+(1×2⁵)+(0×2⁴)+(0×2³)+(1×2²)+(1×2¹)+(1×2⁰)
=32+4+2+1
=39
Hence, 39.0 is the decimal number which is represented by the light bulbs shown in the figure.
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there are 2 containers of beads. container a has 400 black beads and 250 white beads. container b has 200 black beads and 670 white beads. how many black and white beads must be transferred from b to a so that 50% of the beads in a are white and 25% of the beads in b are black?
Step-by-step explanation:
First box contains 8 black and 12 white beads Second box contains 9 black and 6 white beads.
(a) One black bead from each box is taken.
Number of such cases = 8×9=72
Total number of possibilities = 20×15=300
Probablity of getting both black beads =
300
72
=
25
6
(b) One black and one white bead is taken.
So if one black bead is taken from first box then one white bead is taken from second box and if one white bead is taken from first box then one black bead is taken from second box.
Number of such cases = 8×6+12×9=48+108=156
Total number of possibilities = 20×15=300
Probablity of getting one black and one white bead =
300
156
=
25
13
