a$)$ A bank wants to increase deposits and is looking to increase their savings interest rate to achieve this goal. The bank wants to raise $$x,000,000$ through this program and is willing to pay $3\%$ to achieve the goal. The bank expects to reduce this introductory offer in $5-$years and thus all depositors will remove their funds from their account. How much will they have to pay out in interest to achieve their goal?

b$)$ A bank wents to increase deposits and is looking to increase their savings interest rate to achieve this goal. The bank wahts to raise $$1,000,000$ through this program and is willing to pay $5\%$ to achieve the goal. How long could the banks keep the accounts active before paying $$,000,000$ in interest?

c$)$ A bank wants to increase deposits and is looking to increase their savings interest rate to achieve this goal. What interest rate could the bank pay if they wanted to pay $$1,000,000$ in interest in X years?