Show me the Betty wants to save enough money to buy into the family business. The family requires a $$30,700$ investment. She does not have any money in her savings account presently. If the bank will pay her $5$ percent interest compounded semi$-$annually on all money in the account.

a$.$ How long will it take her to be able to buy into the business if she sets aside $$1,200$ every $6$ months?

b$.$ How long will it take her to be able to buy into the business if she sets aside $$1,000$ every month and the bank pays interest monthly?steps to solve