What is the interest rate if the compound interest earned on a principal amount of $4000 over 2 years compounded annually is $336.32?*8%5%4%6%

To find the interest rate, we can use the formula for compound interest which is:

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

Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years

Given in the problem: P = $4000 A =$4000 + $336.32 =$4336.32 (This is the total amount after 2 years) n = 1 (since it is compounded annually) t = 2 years

We can substitute these values into the formula and solve for r:

$4336.32 =$4000 (1 + r/1)^(1*2)

Divide both sides by $4000:

1.08408 = (1 + r)^2

Take the square root of both sides:

1.0414 = 1 + r

Subtract 1 from both sides:

0.0414 = r

To express this decimal as a percentage, we multiply by 100:

r = 4.14%

So, the interest rate is approximately 4.14%.