correct, is Decay and the initial amount is 13000, rate is 25%
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^x\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &13000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ x=years \end{cases} \\\\\\ A=13000(1 - 0.25)^{x}\implies \boxed{A=13000(0.75)^x} \\\\\\ \stackrel{\textit{after 3 years}}{A=13000(0.75)^3}\implies A\approx 5484.38~\hfill \stackrel{\textit{after 8 years}}{A=13000(0.75)^8}\implies A\approx 1301.47[/tex]
Evaluate the following equations
Step-by-step explanation:
A....
Solution ,
[tex] = \frac{h - 3}{3} = 3h \\ [/tex]
[tex] = h - 3 = 9h[/tex]
[tex] = h - 3 - 9h = 0[/tex]
[tex] = h - 9h = 3[/tex]
[tex] = - 8h = 3[/tex]
Change the sign of both side
[tex] = 8h = - 3[/tex]
[tex] = h = - \frac{3}{8 } \\ [/tex]
B....
Solution,
[tex] = \frac{t}{2} = \frac{t + 1}{5} \\ [/tex]
Multiply the both side by the least common multiple to eliminate the fraction...
[tex] = 5t = 2t + 2[/tex]
[tex] = 5t - 2t = 2[/tex]
[tex] = 3t = 2[/tex]
[tex] = t = \frac{2}{3} \\ [/tex]
If 15% of 200 apples are bad, how many apples are bad?
apples= 200
bad apples= 15%
to find:how many apples are bad.
solution:[tex] 200 \times \frac{15}{100} [/tex]
[tex] = 30[/tex]
therefore, there are 30 bad apples.
Please help, I'm not understanding this, I will give brainliest to the person who helps answer and maybe explain :)
the best way to put the solution is to say
1 to 3/5 * 5/9 to 1/3 or something like that, that was just an example
Step-by-step explanation:
all the tasks are the same type and have the same way of solution.
Example №1:
9[girls] + 11[boys]=20 persons. Then the probability to choose the first boy is: 11/20. After this choice, 9[girls]+10[boys]=19 persons. Then the probability to choose the 2-d boy is: 10/19. The final required probability is: 11/20 * 10/19 = 11/38.
P.S. all the details are in the attachment.
P.P.S. the suggetsted way is not the only one.
can you please help?
Estimate the difference of the decimals below by rounding to the nearest
whole number. Enter your answer in the space provided.
53.042
-3.350
————
Answer:
50
Step-by-step explanation:
53.042 -3.350 = 49.692---> 50
Answer:
50
Step-by-step explanation:
53.042 rounds down to 53
3.350 rounds down to 3
53
- 3
___
50
checking work:
53.042
- 3.350
————
49.692 (work below) which rounds up to 50
matches !
Select True or False, for each statement.
1. Angle C has the same measure as angle C'.
2. Side CF is shorter than side C'F.
3. Trapezoid CDEF and trapezoid C'D'E'F' have the same perimeter.
true or false?
Please solve with explanation (high points)
Answer:
∠ACB = 24.35°
Step-by-step explanation:
∠ACB basically means ∠C
tangent = opposite / adjacent
tanx = 5.62 / (3.54 + 3.86 + 5.02)
you are adding all these to get the total of the base length
tanx = 5.62 / 12.42
x = arctan(5.62 / 12.42)
x = 24.34654°
You ride your bike north for 100 m at a constant speed of 5 m/Your acceleration is ?
100 m at a constant speed of 5.
to find:the acceleration.
solution:[tex]a = \frac{v - u}{t} [/tex]
[tex]a = \frac{100 - 100}{5} [/tex]
[tex]a = 0.00m | {s}^{2} [/tex]
Can Wendell make a triangular garden using pieces D, E, and F? Why or why not?
If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.
What is the construction of the triangle?The process of making a triangle is known as the construction of the triangle.
Wendell makes a triangular garden using pieces D, E, and F.
Where D, E, and F may be a side of the triangle or angle of the triangle.
To make a triangle we need at least one side of the triangle.
If all the angles of the triangle is given then we can not make a triangle because the side of the triangle is unknown.
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Answer:
If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.
Step-by-step explanation:
PLEASE HELP!!!!!! IMA DESPRATE!!!!!!
Identify the correct graph for the given quadratic function.
f(x) = x2 − 1
The graph of y = x^2 - 1 has a vertex at (0,-1) and open upwards and it is represented by the graph 1
How to determine the graph of the function?The equation is given as:
y = x^2 - 1
Express as a vertex function
y = (x - 0)^2 - 1
The above means that the function has a vertex of (0,-1) and it opens upward
The graph that has a vertex at (0,-1) and open upwards is the graph 1
Hence, the graph of y = x^2 - 1 is (a)
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determine (algebraically) if the given function is EVEN or ODD show your work.
f(x)= -13x^2+15
======================================================
Explanation:
[tex]f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\[/tex]
Each term of the polynomial function has an exponent which is an even number, therefore the function is even.
-------------
Another approach:
[tex]f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\[/tex]
Since f(x) = f(-x) for all x, this proves the function is even.
Sketch a graph of the polynomial function f(x) =x^3+4x^2+3x. Use it to complete the following:
f is on the intervals (-00, -3) and (-1,0).
f is on the intervals (-00, -2 and (-0,5, 00).
The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Sketch a graph of the polynomial function given below.
[tex]\rm f(x) =x^3+4x^2+3x[/tex]
Use it to complete the following:
Then the factor of the polynomial will be
f(x) = x³ + 4x² + 3x
f(x) = x(x² + 4x + 3)
f(x) = x(x² + 3x + x + 3)
f(x) = (x)(x + 3)(x + 1)
The graph of the function is given below.
Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)
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Solve for D: 48 = 12D - 30 + 6D. Round to nearest hundredths if applicable!
Answer:
D = 4.33
Step-by-step explanation:
⇒ 48 = 12D - 30 + 6D
⇒ 48 = 18D - 30
⇒ 18D = 78
⇒ D = 78/18
⇒ D = 26/6
⇒ D = 13/3
⇒ D = 4.33
The requried simplified value of the given expression is D = 4.33.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
48 = 12D - 30 + 6D
Simplify,
48 = 18D - 30
D = 78 / 18
D = 4.33
Thus, the requried simplified value of the given expression is D = 4.33.
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Solve equation
-8n+7(8+3n)=-16+4n
Answer:
-8Step-by-step explanation:
Solve equation
-8n + 7 * (8 + 3n)= -16 + 4n
-8n + 56 + 21n = -16 + 4n
13n + 56 = -16 - 56
13n -4n = -16 - 56
9n = -72
n = -72 : 9
n = -8
Find S20 given
a,=3 and d=-5
Step-by-step explanation:
Sn=n(2a+(n-1)d)
2
S20=20(2x3+(20-1)x-5)
2
S20=10(6+19x-5)
S20= 10(6-95)
S20=10x-89
S20=-890
Hope this helps you
Have a nice day
Find the number...
3/8 of it is 24
Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graphically or algebraically
y=2x^2-6x+1
y=-x+1
We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).
What are equations?The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.
Now the solution of the equations:-
y=2x²-6x+1
y=-x+1
2x²-6x+1 = -x+1
2x²=5x
x=5/2=2.5
y=-2.5+1=-1.5
Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).
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What is the cubed root of 1331
Answer:
Step-by-step explanation:
∛(1331)
∛11*11*11 = 11
If w = 6 feet, x = 5 feet, y = 12 feet, and z = 8 feet, what is the area of the object?
A. 69 square feet
B. 60 square feet
C. 78 square feet
D. 39 square feet
PLSSS HELP!!!
Answer:
B. 60 square feet
Step-by-step explanation:
took a test and got it right
Answer:
A. 69 square feet
Step-by-step explanation:
add the area of the triangle on top to the
area of the rectangle below
y - w is the base of the triangle
12 - 6 = 6 is the base of the triangle
z - x = height of the triangle
8 - 5 = 3 = height of the triangle
6 times 3 divided by 2 = area of the triangle =
9
y times x is the area of the rectangle below
12 times 5 =
60 is the area of the rectangle below
add up both areas which =
69
Graph: f(x) = |x – 2| – 4
Step 1: Identify the translation. The parent absolute value function is translated 2 units. and 4 units
Step 2: The vertex of the parent is (0, 0). Plot the vertex of the translated function two units to the right and four units down from (0, 0).
Step 3: Evaluate the function at one more point to the left of the vertex.
f(1) =
Step 4: Use symmetry to find another point. Another point is
Step 5: Plot the points (1, -3) and (3, -3).
Step 6: The straight lines through these points show the graph of the function
__________________
Step 1: to the right; down
Step 3: -3
Step 4: (3,-3)
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
Graphing modulus function
Modulus of a function are positive value of a function. Given the modulus expression as shown
f(x) = |x – 2| – 4
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
The resulting graph of the function is as shown below;
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Thomas is taking out a business loan of $20,000 over 5 years. He is given an APR of 6.12% he would like his monthly payments to not exceed $350 a month. Looking at the first few rows of the amortization table below, will his monthly payment be below $350 ? How much over/ under will hi actual payments be from his goal of $350? How much over/ under will his actual payments be from his goal of $350 per month?
1. Thomas' monthly payment for the loan exceeds $350.
2. An excess monthly payment of $37.77 exists.
3. Thus, the actual monthly payment is $387.77.
What is interest?The interest is the finance charge for the loan, representing the cost of the time value of money.
The interest and the monthly payments can be calculated using an online finance calculator as follows:
Data and Calculations:Business Loan = $20,000
Down Payment = 0%
Loan Term = 5 years or 60 months (5 x 12)
Interest Rate = 6.12%
Monthly Mortgage Payment = $387.77
Total of 60 Mortgage Payments = $23,266.38 ($387.77 x 60)
Total Interest = $3,266.38
Thus, Thomas' actual monthly payment is $387.77.
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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.11. You would like to be 96% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required?
large of a sample size is required=165
what is z value in statistics?The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation
Using the formula:
large of a sample size is required=(Z∝[tex]I_{2}[/tex]/E)²* P(1-P)
According to the given data
E= margin of error= 5%=0.05
96% confident that your estimate is within 5% of the true population proportion,
Therefore, level of significance
∝=1-0.96
=0.04.
Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05
Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)
=1681*0.0979
=164.5699
=165
Hence, large of a sample size is required=165
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The order of rotation for a regular hexagon is?
Answer:
6
Step-by-step explanation:
The rotational symmetry for a hexagon is 6 as it is a regular polygon.
Find the value of x in the triangle.
Answer:
Step-by-step explanation:
x + x + 90 = 180
2x + 90 = 180
2x = 90
x = 45
I need help, pleasee
Answer:
Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.
Step-by-step explanation:
Let's have a look at the image they've provided. (The identical picture is shown below. )
[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]
Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.
[tex]2 *4= 8\\5*4 = 20[/tex]
This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)
Hope this helps! :D
Sample :
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What kind of shape is this? O A. Quadrilateral B. Not a polygon O C, Triangle O D. Pentagon
Answer:
C
Step-by-step explanation: It has three sides
What value of x makes the equation 5 = ºx + 3 true?
Vx ?
3
=
Answer:
122
Step-by-step explanation:
To solve for x, undo the operations done to it.
__
5 = ∛(x +3) . . . . . given
125 = x +3 . . . . . cube both sides of the equation
122 = x . . . . . . . . subtract 3
Consider this figure. 11 1/2 in 10 in 20 in
The area of a rectangular piano is 5 5/8 square yards, it's length is 1 1/2 yards. what's the patios width in yards.
pls show work
Answer:
3 3/4 yards
Step-by-step explanation:
The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).
To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.
Hope this helps!
what is 56x3/4
please help
Answer:
40 1/2 or 40.5
Step-by-step explanation:
i used a calculator
