Answer:
$2500
Step-by-step explanation:
This is a simple interest problem. The formula is I = Prt, where I is the interest earned, P is the initial investment, r is the interest rate as a decimal, and t is the time in years. Filling in:
1600 = P(.08)(8) and
1600 = .64P so
2500 = P
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
Answer:
13 + 2n
Step-by-step explanation: