What amount would be accumulated in one semester if $50,000 were deposited at the end of each two-month period in an investment account that pays 18% compounded monthly?

To calculate the accumulated amount in one semester, we first need to determine the number of compounding periods in one semester. Since each compounding period is two months and there are six months in a semester, there are three compounding periods in one semester. Next, we can use the compound interest formula to calculate the accumulated amount: A = P * (1 + r/n)^(nt) Where: A = Accumulated amount P = Principal amount (initial deposit) r = Nominal interest rate (18% per annum) n = Number of compounding periods per year (12 months) t = Number of years (in this case, 1/6 since we're calculating for one semester) Plugging in the values: P = $50,000 r = 18% per annum = 18/100 = 0.18 n = 12 t = 1/6 A = $50,000 * (1 + 0.18/12)^(12 * (1/6)) A = $50,000 * (1 + 0.015)^2 A = $50,000 * (1.015)^2 A = $50,000 * 1.030225 A = $51,511.25 Therefore, if $50,000 is deposited at the end of each two-month period in an investment account that pays 18% compounded monthly, the accumulated amount in one semester would be approximately $51,511.25.