1.a) If the effective annual rate of interest is known to be 5% on a debt that has quarterly payments, what is the annual percentage rate? Enter your answer as a percentage rounded to 2 DECIMAL PLACES.Please show the math.

b)

You are planning to buy a house in 14 years. You would like to be able to make a down payment of $99,700. The stated interest rate is 14% (APR). If interest is compounded continuously, how much will you need to invest today in order to make the down payment?

I know the answer is $14'043.58. I just need the math explained

c) You are planning to buy a house in 5 years. You would like to be able to make a down payment of $43,700. The stated interest rate is 6% (APR). If interest is compounded continuously, how much will you need to invest today in order to make the down payment?