In: Advanced Math
Calculus 2 question. Please explain clearly.
A bank account earns 5% interest compounded monthly. Suppose that $1,000 is initially deposited into the account, but that $10 is withdrawn each month.
a) Show that the amount in the account after n months is An=(1+0.05/12)An-1-10; A0=1000
b) How much money will be in the account after 1year?
c) Suppose that instead of $10, a fixed amount of d dollars is withdrawn each month from the account. Find a value of d such that the amount in the account after each month remains at $1,000