a = 4 b = 8

D - Logarithmic Functions "Jimmy's Investment" Jimmy has two bank choices to invest his money in so he can get money to invest into his theme park. In Bank option A, the interest rate is a%/annum compounded semi-annually. In Bank option B, the interest is b%/annum compounded quarterly. a) Choose values a, and b such that: a is the number of letters in your first name b is the number of letters in your last name . and state your a and b values. b) Suppose it takes k? - k - 30 years for bank option A to accumulate the same amount that bank option B would accumulate after k + 5 years. How long does it take each bank to accumulate the same value? c) If Jimmy invested $4500, how much interest would he have made at the time when the two bank options are equal? d) If Jimmy found two banks that offered the same interest rate per annum but just different compounding periods, which should he choose to accumulate more money? Show a numerical example and explain your reasoning. D - Logarithmic Functions "Jimmy's Investment" Jimmy has two bank choices to invest his money in so he can get money to invest into his theme park. In Bank option A, the interest rate is a%/annum compounded semi-annually. In Bank option B, the interest is b%/annum compounded quarterly. a) Choose values a, and b such that: a is the number of letters in your first name b is the number of letters in your last name . and state your a and b values. b) Suppose it takes k? - k - 30 years for bank option A to accumulate the same amount that bank option B would accumulate after k + 5 years. How long does it take each bank to accumulate the same value? c) If Jimmy invested $4500, how much interest would he have made at the time when the two bank options are equal? d) If Jimmy found two banks that offered the same interest rate per annum but just different compounding periods, which should he choose to accumulate more money? Show a numerical example and explain your reasoning