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Ede4ka [16]
2 years ago
7

The Gomez family just purchased a $2,574.54 laptop computer. They made a down payment of $574.54. Through the store's installmen

t plan, they agreed to pay $121.00 per month for the next 18 months. A. What is the amount financed? B. What is the finance charge? C. What is the APR?

Mathematics
1 answer:
Maurinko [17]2 years ago
3 0
A) The amount financed is the purchase amount less the down payment.
  $2,574.54 -574.54 = $2000.00

B) The finance charge is the total of payments less the amount financed.
  18*$121.00 -2000.00 = $178.00

C) The APR is calculated by a financial calculator to be 10.96%.

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John’s is the outlier
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A company manufactures skateboards. Each skateboard requires 1 6/7 hours of labor to assemble and 2 1/2 hours of labor to finish
Assoli18 [71]

Answer: The total cost will be $156.85.

Step-by-step explanation:

Since we have given that

Time taken by labor to assemble the each skateboard is given by

1\frac{6}{7}\ hours\\\\=\frac{13}{7}\ hours

Time taken by labor to finish and stain each skateboard is given by

2\frac{1}{2}\ hours\\\\=\frac{5}{2}\ hours

Cost of labour to the company per hour = $36.00

According to question,

We will use "Distributive Property":

a\times (b+c)=a\times b+a\times c

36(\frac{13}{7}+\frac{5}{2})\\\\=36\times \frac{13}{7}+36\times \frac{5}{2}\\\\=\frac{468}{7}+18\times 5\\\\=\frac{468}{7}+90\\\\=\frac{468+630}{7}\\\\=\frac{1098}{7}\\\\=\$156.85

Hence, the total cost will be $156.85.

5 0
3 years ago
The given line passes through the points (-4, -3) and (4,
drek231 [11]

Answer:

y = 2x + 11

Step-by-step explanation:

The first thing we need to do

is to find the slope of the line that passes through the points (-4,-3) and (4,1)

Mathematically, that would be;

m = y2-y1/(x2-x1)

where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)

substituting these. values we have;

m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5

Now we are told this line is perpendicular to another line that passes through another point.

We can find the slope of this other line

Since both lines are perpendicular, the product of their slope is -1.

Thus , -0.5 * m = -1

m = -1/-0.5 = 2

So the slope of the other line is 2

Using the point-slope form;

y-y1= m(x-x1)

The point for the other line is (-4,3)

So the equation will be

y-3 = 2(x+4)

y-3 = 2x + 8

y = 2x + 11

8 0
2 years ago
the sum of two numbers is 44. the smaller number is five-sixths of the larger number. what are the numbers?​
Sindrei [870]
X+y=44
x=5/6y

x+y=44
5/6y+y=44
11/6y=44
11y=264
y=24
x=5/6y=(5/6)*24=20
Answers: numbers are 20, 24
7 0
2 years ago
Improper fraction for 5 9/13
ipn [44]

Answer: 87/13

Step-by-step explanation: You take you 5 and times it by 13 and + 9 because the equation is saying 13/13 5 times plus the 9/13,

So 6*13 = 78 78+9=87 and then you take the 87 and put it over the 13,

So, now you have your answer: 87/13

4 0
2 years ago
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