You invested $1,650 in an account that pays 5 percent simple interest. How much morecould you have earned over 20 years if the interest had compounded annually?

First, let's calculate the total amount of money you would have after 20 years with simple interest. Simple interest is calculated using the formula:

I = PRT where: I = Interest P = Principal amount (the initial amount of money) R = Rate of interest T = Time the money is invested for

In this case, P = $1650, R = 5/100 = 0.05 (since the rate is given in percentage, we divide by 100 to convert it to a decimal), and T = 20 years.

So, I = 1650 * 0.05 * 20 = $1650.

The total amount after 20 years would be the initial investment plus the interest, which is $1650 +$1650 = $3300.

Next, let's calculate the total amount of money you would have after 20 years with compound interest. Compound interest is calculated using the formula:

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 this case, P = $1650, r = 0.05, n = 1 (since the interest is compounded annually), and t = 20 years.

So, A = 1650 * (1 + 0.05/1)^(1*20) = $4433.62.

Therefore, you would have earned $4433.62 -$3300 = $1133.62 more if the interest had compounded annually.