Tutorial 9 Math 0130 Comparing Investments Two students are saving money for a graduation trip to Europe in several years. George has just sold his car for $5000 and has invested his money in a fund at an interest rate of 5.4% per year, compounded monthly. At the same time, John has invested his part-time job savings of $4500 in another fund at an interest rate of 6.8% per year, compounded quarterly. Show the following steps on the blackboard or paper as your instructor directs. a. Using the compound interest formula (see page 268), find an exponential growth model for the money belonging to each student. Start by filling in the following table to specify the parameters P, r, and n for each investment. Then find the exponential model for each investment, approximationg the base to 4 decimal places. George John P = P = r= r= n= n = AG(t) = A(t)= b. i) Calculate the future value of each investment after 4 years. ii) Using DESMOS, sketch both exponential growth curves on the practical domain on the same Cartesian Plane. From the graph, find the value of each investment after 4 years and the time for the investments to be equal in value. c. i) If the investment is left in place, algebraically determine the time for George's investment to double. Find an exact answer in terms of base e and then use a calculator to find a decimal approximation to the nearest year. Check with the graph. ii) If the investment is left in place, algebraically determine the time for John's investment to reach $6300. Find an exact answer in terms of base e and then use a calculator to find a decimal approximation to the nearest year. Check with the graph