Answer:
569.49$
Step-by-step explanation:
7.25% = .0725
530.99 x 0.725 = 38.50
530.99$ + 38.50$
569.49$
Last month, when Jerry received his bank statement, he found that the balance in the statement did not match the balance in the register. Examine Jerry's check register and bank statement and evaluate his problem. Trans typ./ Check no. Date Description of Transaction Payment/ Debit (-) Deposit/ Credit (+) Balance 900 00 241 9/4 Miller's Food Market 67.25 67 25 Groceries 832 75 242 9/18 Frank's Auto Parts 36.80 36 80 Oil and Filter 795 95 243 9/28 Mike's Barber Shop 15.00 15 00 Haircut 780 95 Deposit 9/30 Paycheck 650.45 650 45 1,431 40 Checking Account Statement Account Number: 1234-1212 Checks date check no. amount 9/5 241 $67.25 9/20 242 $36.80 9/30 243 $15.00 Other Activity date transaction amount 9/30 Deposit $650.45 9/30 Fees $15.00 Balances Opening Balance $900.00 Closing Balance $1,416.40 A. His check to the barber shop was not cashed before the end of the month. B. He added up his transactions incorrectly. C. He mislabeled a payment as a deposit. D. He had bank fees that were not in his check register
He had bank fees $15 that were not in his check register.
The correct option is (B)
What is Balancing Statement?Balancing statement is a final statement of your income tax liability for a tax year. It is issued by Revenue when your income tax liability has been reviewed and it shows: your total income from all sources. tax reliefs and credits claimed. amounts of income tax
Balance in check register be,
=Initial Balance - ( Expense on Food Market + Frank's auto parts + Barber shop ) + Deposit
Initial Balance = 900
Expense on Food Market= 67.25
Frank's auto parts =36.80
Barber shop =15
Deposit =650.45
So,
Balance = 900 - (67.25 + 36.80 + 15) + 650.45
= 1550.45-119.05
= $1431.40
Balance on Account statement be,
= Opening balance - ( checks amount on different dates ) + deposit - fees
= 900 - (67.25 + 36.80 + 15) + 650.45 - 15
= 1550.45-134.05
= $1416.40
As, the balances in bank statement and in checking register are not matched. This is because the fees $15 paid on 9/30 is not calculated by Jerry in his check register
thus,
= $1431.40 - $15.00 (Fees)
= $1416.40
Now the balance on account and checking statements matched.
So, he had bank fees were not in Check Register.
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Write an equation in slope-intercept form for the line with slope 5 and y-intercept-3.
Answer: y = 5x-3
Step-by-step explanation: Using y = mx+b, where m is the slope, and b is the y intercept, you just plug in 5 and -3.
Lastttt question plssssssssssssssssssssssss
Answer:
8y
Step-by-step explanation:
PLEASE HELO ME!!! PLSSSS
Answer:
Choice A
Step-by-step explanation:
<4 and <5 are alternate interior angles.
Answer:
angle 3 and 6
Step-by-step explanation:
They are on the other sides of eachother and are both in the interior.
24. Which is an apparent root of the equation
graphed below?
[tex]\huge\underline\mathsf \colorbox{cyan}{-1/2}[/tex]
Step-by-step explanation:
Roots of a plotted quadratic equation f(x) can easily be known by knowing where it cuts the x- axis. So this parabola cuts x axis at (-1/2,0) and at (2,0).Boom there you have it.Pls help easy math will give brainlest
Answer:
See below ~
Step-by-step explanation:
Problem 9
h(1/8) = 3(1/8) + 1/4h(1/8) = 3/8 + 2/8h(1/8) = 5/8Problem 10
Q(k) = k - 3 / 2-4 = k - 3 / 2-8 = k - 3k = -8 + 3k = -5Answer: h'(1)=6/5
-1.5
Step-by-step explanation:
What is the perimeter in centimetres of a regular octagon with sides measuring 17 mm?
Answer:
1.36 centimeters
Step-by-step explanation:
Given,
side length ( a ) = 17 mm
To find : Perimeter of regular octagon ( in cm )
Octagon has 8 sides.
Perimeter of regular octagon
= 8 x a
= 8 x 17
= 136 mm
1 mm = 0.1 cm
136 mm
= 136 x 0.1
= 1.36 centimeters ( cm )
Hence,
Perimeter of regular octagon is 1.36 centimeters.
Answer:
13.6 cm
Step-by-step explanation:
17 mm = 1.7 cm
Perimeter of octagon
= 8 x 1.7 cm
= 13.6 cm
A discrete sample space is one in which outcomes are counted.
True
False
Convert -2 2/13 to a decimal
-2.15
-2.154 should be your answer!! have a blessed day x
Can Someone Please Help Me With This Problem.
Answer:
Option B {1,3,4,5}
Step-by-step explanation:
The domain of the function is nothing but the input of the given function
Therefore the domain of given function is
{1,3,4,5} Option B
Find the surface area of this cube. Be sure to include the correct unit in your answer.
Answer:
486 cm
Step-by-step explanation:
9×9=81
there are 6 faces
81×6=486
TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.
walking tour is $15
boat tour is $18
15 + 21 = 3 (4 + 8)
What is Aida’s error?
Aida used 3 as the factor, which is not common to 15 and 21.
Aida did not correctly divide by the common factor to get (4 + 8).
Aida did not apply the correct operations to the expressions.
Aida wrote two expressions that are not equivalent.
Answer:
Aida did not correctly divide by the common factor to get (4 + 8).
Answer:
B). Aida did not correctly divide by the common factor to get (4 + 8).
Step-by-step explanation:
Aida applied the distributive property to write the equivalent expressions given as
15 + 21 = 3(4 + 8)
But Aida made a mistake.
Since to get the common factor of 15 and 21 she did not divide these numbers by 3 correctly.
In simple words by division of 3 in 15 and 21, we get 5 and 7 instead of 5 and 8.
Therefore, Aida did not correctly divide by the common factor to get (4 + 8). ⇒ option B is the correct answer.
Question 6 of 10
How many solutions are there to the equation below?
&x=7
O A. 49
O B. 2
O c. 1
O D.O
Explain how to use a graph of the function f(x) to
find f(3).
To find the value of f(3) we need to follow the below steps :
Step 1 : First plot the graph of f(x)
Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)
Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .
Step 4 : Now there exists two cases :
If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x
If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).
If this is wrong than I guess I wasn't smart enough :)
The delivery truck drives at a constant speed. What is the truck's speed, in miles per hour, on the delivery route? Round the answer to the nearest whole number. Enter the answer in the box.
Answer:
Choose answer below
Step-by-step explanation:
The truck does 3 sides of the square 3 x 24 = 72
and the truck does one entire diagonal of the square
with side lengths 24
diagonal = sqrt (24^2 + 24^2 ) = 33.94 miles
total miles 33.94 + 72 = 105.94 miles in 4.5 hours
105.94 / 4.5 = 23.54 m/hr for the entire trip
The mph for the actual driving time (2.5 hours )
105.94 / 2.5 = 42. 38 m/hr for driving time only
please answer this question
Answer:
[tex]\displaystyle \lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} = \boxed{ \frac{34}{23} }[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Multiplied Constant]:
[tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]
Limit Property [Multiplication]:
[tex]\displaystyle \lim_{x \to c} f(x)g(x) = \lim_{x \to c} f(x) \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
The problem is too big to fit all work. I will assume that you know how to do basic algebra and calculus.
Step 1: Define
Identify given limit.
[tex]\displaystyle \lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}}[/tex]
Step 2: Find Limit (Algebriaclly)
Rationalize the function and apply basic limit techniques listed under "Calculus":
[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = \lim_{x \to 2} - \frac{17(x - 2)}{\big( \sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5} \big) \big( \sqrt{x + 7} + 3 \sqrt{2x - 3} \big)} \\& = -17 \lim_{x \to 2} \frac{1}{\sqrt{x + 7} + 3 \sqrt{2x - 3}} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}}\end{aligned}[/tex]
[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = - \frac{17}{6} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} \\\end{aligned}[/tex]
Let's now focus on just the rationalization of the function within the limit:
[tex]\displaystyle\begin{aligned}\frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = \frac{(x - 2) \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] }{\Big( \sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5} \Big) \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] } \\& = - \frac{1}{23} \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] \\\end{aligned}[/tex]
Substitute in the simplified function and continue:
[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = - \frac{17}{6} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} \\& = \frac{17}{138} \lim_{x \to 2} \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] \\& = \frac{17}{138} (12) \\& = \boxed{ \frac{34}{23} } \\\end{aligned}[/tex]
∴ we have evaluated the following limit without L' Hopital's Rule.
Step 3: Geometrical Interpretation
We can also graph the given function and approximate the limit. Please refer to the attachment for visualization.
___
Learn more about limits: https://brainly.com/question/27593180
Learn more about Calculus: https://brainly.com/question/27805589
___
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Answer:
34/23
Step-by-step explanation:
The limit can be evaluated by simplifying the expression in such a way as to cancel the offending zeros.
__
Define the following (to help keep the algebra cleaner):
[tex]a=\sqrt{x+7},\ b=3\sqrt{2x-3}\\\\c=\sqrt[3]{x+6}.\ d=2\sqrt[3]{3x-5}[/tex]
Then the desired limit is ...
[tex]\displaystyle \lim_{x\to 2}\dfrac{a-b}{c-d}[/tex]
We observe that ...
[tex](a-b)(a+b)=\underline{a^2-b^2}=(x+7)-(3^2(2x-3))=-17x+34=\underline{-17(x-2)}\\\\(c-d)(c^2+cd+d^2)=\underline{c^3-d^3}=(x+6)-(2^3(3x-5))=-23x+46=\underline{-23(x-2)}\\\\\displaystyle\lim_{x\to2}{(a+b)}=3+3=6\\\\\lim_{x\to2}{(c^2+cd+d^2)}=4+4+4=12[/tex]
In the following expression, the factors (x-2) cancel, so, our limit is ...
[tex]\displaystyle\lim_{x\to2}\dfrac{a-b}{c-d}=\lim_{x\to2}\dfrac{(a^2-b^2)(c^2+cd+d^2)}{(c^3-d^3)(a+b)}=\lim_{x\to2}\dfrac{-17(x-2)(12)}{-23(x-2)(6)}=\boxed{\dfrac{34}{23}}[/tex]
Roxy’s new employer pays employees bimonthly, which is twice a month. She’ll earn $30 per hour with the new company. She plans to continue making extra money by dog sitting on weekends. Roxy works 40 hours per week for 52 weeks during the year. Each time she dog sits on the weekend, she earns $75. Use this information about Roxy to complete the statements. Type the correct answer in each box. Use numerals instead of words. Roxy’s annual income from her new employer before taxes will be $ . Her bimonthly pay before taxes will be $ . To reach Roxy’s yearly pretax income goal of $63,300, she will need to dog sit at least times.
Answer:
12 times
Step-by-step explanation:
first, find out how much she makes weekly.
40 (hours per week she works * 30 ($ she will earn per hour)
40 * 30 = 1200 per week
for 52 weeks so multiply that by her weekly pay
multiply her weekly pay (1200) by the weeks she works annually (52)
52 * 1200 = 62,400
she makes just $62,400 (annually, before taxes) with her new employer
subtract how much more money she needs
62,400 - 63,300 = -900
she needs 900 dollars
divide by the money she makes on weekends (for dog sitting)
900/75 = 12
she will need to dog sit at least 12 times to make approx. $63,300 annually, before taxes.
hope this helps:)
can someone really help me with this and more questions like this
Answer: I think its D
Step-by-step explanation:
Answer:
Maximum value = 7, minimum value = 8
Step-by-step explanation:
Your answer is right !
What is the volume of this right prism?
1200 in3
1800 in3
2040 in3
3600 in3
Answer:
2nd option
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h is its height )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
here b = 30, h = 8 , then
A = [tex]\frac{1}{2}[/tex] × 30 × 8 = 15 × 8 = 120 in²
with h = 15 , then
V = 120 × 15 = 1800 in³
12(x - 3) + 18 = 4(3x - 3)
12(x-3) + 18=4(2x-4)
6x +8 = 7x +13
6x + 8 = 2(3x + 4)
6x + 8 = 6x + 13
Please help if you can solve all of these it will be a big help
Answer:
No Solution
x = 1/2
x = -5
x = 1
No Solution
Which statement is correct regarding the measurements of the parallelogram?
On a coordinate plane, a parallelogram has points (7, 3), (4, negative 4), (negative 5, negative 4), and (negative 2, 3).
The base is 7 and the height is 7, so the area is 7 (7) = 49 square units.
The base is 7 and the height is 3, so the area is 7 (3) = 21 square units.
The base is 9 and the height is 6, so the area is 9 (6) = 54 square units.
The base is 9 and the height is 7, so the area is 9 (7) = 63 square units
The correct statement regarding the measurements of the parallelogram is that the base is 9 and the height is 7, so the area is 9 (7) = 63 square units.
What is a Parallelogram?This is defined as a quadrilateral which has two pairs of parallel sides present and the area is base × height.
The base is 9 and the height is 7, when the points are plotted which results in the area being 63 square units hence option D was chosen.
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The temperature in Juneau, Alaska is -10°F. Select the city that has the opposite temperature as Juneau. A. Portland, Maine B. Austin, Texas C. Plattsburgh, New York D. Lincoln, Nebraska
As no table mentioned it can't be told which city accurately but you can find it by below precedence.
Alaska's Temperature is -10°FOpposite of it means additive inverse of itSo that's 10°FFind the city having temperature 10°F , that's the answer
Answer:
a
Step-by-step explanation:
Find the distance between points 0, 10 and -9, 1
Answer:
9,9
Step-by-step explanation:
0 - -9 = 9
9 is the first number
10 - 1 = 9 (subtracting the biggest number by the lowest number tells the difference between two numbers.)
9 is also the second number.
help me PLEASE PLEASE VERY urgent
Answer:
28
Step-by-step explanation:
Since n = 3, you would times n (3) 4 times then add that to 3, then divide that by three, and there's your answer!
HEEEEEEELLLLLLLLLLLLPPPPPPPPPPPPP
One Opposite side pair of a trapezoid has equal length
KL||JMA is true
<J is supplement to <K
B is falseD is trueJK and LM are not paralle
C is false<J is congruent to <M may be true
Option E is falseMay not be
F is falseAnswer:
A. [tex]\sf \overline{KL}[/tex] is parallel to [tex]\sf \overline{JM}[/tex]
D. ∠J is supplementary to ∠K
Step-by-step explanation:
Properties of a trapezoid:
One pair of parallel sides (the "bases" - top and bottom sides)Interior angles sum to 360°The two angles that are on the same leg (left and right sides) sum to 180°Although the sides of the shape do not have any arrows to indicate that any are parallel, we know that a trapezoid has one pair of parallel sides, so:
[tex]\sf \overline{KL}[/tex] is parallel to [tex]\sf \overline{JM}[/tex]When two angles sum to 180° they are called supplementary angles.
As the two angles that are on the same leg sum to 180° then:
∠J is supplementary to ∠KIf x = 12, which equation is true?
A-27 + 2x = 51
B5(x + 7) = 45
C 3(25) - x = 39
D 3(25 - x) = 39
Answer:
D
Step-by-step explanation:
3(25-(12))=39
3(13)=39
39=39
Find the perimeter and area of the figure.
Find H please helpppp
Answer:
4.
Step-by-step explanation:
1) the rule:
h:2=8:h;
2) according to the rule:
h²=16; ⇒ h=4.
A loon is flying at a height of 10 feet above a lake. The loon dives into the water to catch a fish that is at a depth of 6 feet. What is the change in elevation of the loon?
Pls help
