You are hoping to afford a $$400,000$ home in the future. You start to save for the $20\%$

downpayment of $$80,000.$ You can invest in an ordinary annuity ot $4\%$ annual interest rate

compounded monthly, and plan to invest for $10$ years. What payment will you need to make into

this annuity each month at the end of the month to accumulate the $$80,000$ down payment in

$10$ years?

a$.$ Set up the formula for this calculation with all the correct values in place.

b$.$ Use your formula to calculate the monthly payment.

c$.$ Use the TI$-84Ap\frac{p}{?}$ Finance to calculate the monthly payment.