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(a) You want to buy an expensive car worth $45,000 using cash, 4 years from today. Assume that you expect to earn 4.5% interest, compounded annually, on your savings. How much do you need to deposit today if this is the only money you have for this purpose? If you were to require the same amount of money sooner, what 2 alternatives are available to you? Explain your calculations. (b) You have $1 today. How long will it take to double to $2, if you earn 7.2% interest compounded annually? What would your 2 other alternatives be for tripling the money sooner? Explain your calculation. (c) You have $1,500 today in your savings account. How long must you wait for your savings to be worth $3,000 if you are earning 11% interest compounded annually? How can you achieve this goal sooner? Explain your 2 other alternatives and calculations