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Pavel [41]
4 years ago
7

Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price o

f concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?
Mathematics
2 answers:
scoundrel [369]4 years ago
5 0
We are given the dimensions 10 feet length and 3 inches height. The volume of the rectangular portion is equal to $72.59 / $98 per cubic yard that is equal to 0.74 cubic yard. This is equal to 19.98 cubic feet. This means the width of the portion is equal to 8 feet. 

Hope this helps
Ad libitum [116K]4 years ago
5 0

Answer:

0.3 feet

Step-by-step explanation:

Let, "w" be the required width of the rectangular portion and "x" be the volume of rectangular portion.

Since, 3 inches = 0.25 feet,

x = (w).(10).(0.25) = 2.5w

since he pays $72.59, he does have:

\frac{98}{feet^3} = \frac{72.59}{x}

which is the same as

\frac{feet^3}{98} = \frac{x}{72.59}

and so we get

x yards = \frac{feet^3.(72.59)}{98}

he has used concrete equalling , and thus the volume he will get in $72.59 is:

x = \frac{72.59}{98} = 0.7407 ≈ 0.75 feet^3

Since, we wanted to find out the width, therefore:

0.75 = 2.5w

w = \frac{0.75}{2.5}

w = 0.3 feet

So, the required width is 0.3 feet.

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To repay this loan in three years we must make annual payments of $23,560.

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To calculate the payments that we must make each year, taking into account the 8% interest, we must carry out the following operations:

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