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Mila [183]
3 years ago
14

Karls car payments are $215.37 per month for the next three years. What will be the total amount he will pay for his car?

Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

$7,753.32

Step-by-step explanation:

12 months in one year

12 x 3 = 36 months in 3 years

215.37 x 36 months

215.37 x 36 = 7,753.32

Please lmk if you have questions.

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
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Answer:

Length = 400 m

Width = 200 m

Area = 80,000 m2

Step-by-step explanation:

Let's call the length L and the width W. Then, we have that the perimeter will be:

L + 2W = 800.

We want to maximize the area, that is:

A = L*W

so, from the first equation, we have:

L = 800 - 2W

Using this value in the area equation, we have:

A = (800 - 2W)*W = 800W - 2W^2

To find the maximum, we just need to find the vertix of the quadratic equation, and then apply the value to find the area:

W_vertix = -b/2a

Where a and b are coefficients of the quadratic equation (in our case, a = -2 and b = 800)

W_vertix = -800/(-4) = 200 m

A = (800 - 400)*200 = 80000 m2

L = 800 - 2W = 800 - 400 = 400 m

So the dimensions and area are:

Length = 400 m

Width = 200 m

Area = 80,000 m2

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Seven times the first (smaller) of two consecutive odd integers is equal to five times the second (larger) integer. Find each in
lbvjy [14]
<h2>Answer:</h2>
  • The smaller consecutive odd integer is: 5
  • and the larger consecutive odd integer is: 7
<h2>Step-by-step explanation:</h2>

Let the smaller odd integer be: a

then the larger odd integer which is consecutive to a will be: a+2

It is given that:

Seven times the first (smaller) of two consecutive odd integers is equal to five times the second (larger) integer.

This means that:

7 times of a is equal to 5 times of (a+2)

i.e.

7a=5(a+2)\\\\i.e.\\\\7a=5\times a+5\times 2

( Since, by using the distributive property of multiplication)

i.e.

7a=5a+10\\\\i.e.\\\\7a-5a=10\\\\i.e.\\\\2a=10\\\\i.e.\\\\a=5

Hence, the smaller number is:  5

and the larger number is: 7

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