$\mathrm{.}10($LO $2)($Unknown Periods and Unknown Interest Rate$)$ Consider the following independent situations.

a$.$ Mike Finley wishes to become a millionaire. His money market fund has a balance of $$92,296$ and has a guaranteed interest rate of $10\%.$ How many years must M

leave that balance in the fund in order to get his desired $$1,000,000?$

b$.$ Assume that Sally Williams desires to accumulate $$1$ million in $15$ years using her money market fund balance of $$182,696.$ At what interest rate must Sally's

investment compound annually?