New ton’s method seeks to approximate a solution f(x) = 0 that starts with an initial approximation x0and successively defines a sequence
60. [T] A bank account earns 5% interest compounded monthly. Suppose that S 1000 is initially deposited into the account, but that $ 1 0 is withdrawn each month.
a. Show that the amount in the account after n months is
b. How much money will be in the account after I year?
c. Is the amount increasing or decreasing?
d. Suppose that instead of $10. a fixed amount d
dollars is withdrawn each month. Find a value of d such that the amount in the account after each month remains $1000.
e. What happens if d is greater than this amount?
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