Use the formula for computing future value using compound interest to determine the value of an account at the end of 7 years if a principal amount of $2,500 is deposited in an account at an annual interest rate of 4% and the interest is compounded daily. (assume there are 365 days in a year.) round to the nearest cent as needed.)the amount after 7 years will be ?

A = P (1 + r/n)^(nt)

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

A  ≈ 35.3 units²

Step-by-step explanation:

Calculate the radius CB using Pythagoras' identity in the right triangle.

CB² + AB² = AC²

CB² + 6² = 9²

CB² + 36 = 81 ( subtract 36 from both sides )

CB²  = 45 = r²

Then area of quarter circle is

A = × πr² = × π × 45 ≈ 35.3