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VARVARA [1.3K]
3 years ago
8

The length of a rectangle is 3 feet more than twice the width. The perimeter is 128 feet. Find the length and width.

Mathematics
1 answer:
iragen [17]3 years ago
7 0
We are going to consider a rectangle with length called "a" and width "b"  Then we know that perimeter is the sum of both sides 2*a + 2*b = 128  And also the following equation given by the question: a = 2*b + 3  So solving the first equation: 2*(2*b+3) + 2*b = 128 4*b+6+2*b=128 6*b = 122 b = 122/6 = 61/3  Then a=2*122/6+3 = 244/6+3 = 262/6 = 131/3  Solution:  Length = 131/3 Width = 61/3
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After replace the values given we got:

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If we round this answer to the nearest number we got approximately $598 after 5 years.

Step-by-step explanation:

For this case we can ue the compund interest formula for the future value given by:

A = P(1 +\frac{r}{n})^{nt}

Where P represent the initial amount , t the number of years and r the rate of interest on fraction. The value of n represent the number of times that the interest rate is compound in a year

For our case we have:

P =500, r = 0.036, t = 5 , n=4

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A =500 (1+\frac{0.036}{4})^{4*5} = 598.127

If we round this answer to the nearest number we got approximately $598 after 5 years.

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Factor by grouping is best for this expression. To factor by grouping, group pairs of terms with parenthesis. Then find the GCF in each pair. If the parenthesis match after, the factoring is complete.

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