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Annie paid 12800 pounds at end of 10 years
<em><u>Solution:</u></em>
Given that Annie borrows 8000 pounds at simple interest rate of 6 %
She also agrees to pay the loan back over a 10 year period
To find: total money paid back at the end of 10 years
The total amount paid is given as:
Total amount = simple interest + principal amount borrowed
The simple interest is given as:
Where, "p" is the principal sum
"n" is the number of years
"r" is the rate of interest
Here, p = 8000 ; r = 6 % ; n = 10 years
Therefore total amount paid at end of 10 years is:
Total amount = 4800 + 8000 = 12800
Thus Annie paid 12800 pounds at end of 10 years
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is <span>5 feet. </span>
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is <span>5 feet. </span>