Write an R program that answers the following: Suppose you inherit $75,000 from a long lost rich relative. You decide this is a great opportunity to invest the money for your eventual retirement. A financial institution guarantees you a 2.75% annual percent rate compounded monthly on your investment Write a program that determines 1. How much the initial investment is worth after 5 years, 10 years and 15 years. 2. How many months are needed for your initial investment to double in value (that is reach $150,000 in value). 3. Also use the program to determine what interest rate would be need to triple the investment in that same time (that is reach $225,000 in the same above of time as the answer in part 2). Note: you may need to look up the compounding monthly formula although this sort of material was likely covered in a high school mathematics class. Compounding formula (by month, with an annual percent rate) A(t) =P* (1 + i)'