Financial Math Assignment 1. Tarek invested an amount of money 5 years ago at an interest rate of 3% compounded every six months. The value of Tarek's investment can be determined by using the following rule. Co = a (1.03) where n: number of 6-month periods elapsed since the beginning of the investment Cn: value of the future investment, in dollars ($) Today, the value of Tarek's investment is $1612.70. To the nearest dollar, what was the value of Tarek's initial investment? 2. For the new Financial Math course, students have started a virtual investment club. The club members have been divided into three teams. Team A and Team B calculated their projected investment after 4 years. Team A initially invested $2000 with an annual interest rate of 3.4%. Team B initially invested $1500 with an interest rate of 12% every 6 months. Team C invested $3500 with an annual interest rate of 7.5%. It wants the value of its investment to equal the sum of Team A's and Team B's projected 4-year investment. How long will it take for the value of Team C's investment to be equal to the sum of Team A's and Team B's projected investment