If Daniella opens a mutual fund account with a deposit of $15,000 and it promises to pay an annual interest rate of r%, compounded on a monthly basis. (i) Derive a function B, which shows the balance...

If Daniella opens a mutual fund account with a deposit of $15,000 and it promises to pay an annual interest rate of r%, compounded on a monthly basis.

(i) Derive a function B, which shows the balance on Daniella′
s account the end of 6 years.

(ii) Make a comparison of the rates of change in B with resect to the interest rate when r is 8% , 10% and 12%