Justin invests $ 5,000 dollars, with the aim of saving in a fund whose purpose is to pay for the university education of his son Charly, just born. The investment pays a 12% annual yield, compounded quarterly.

a. Build the mathematical model, indicate its units, and sketch the graph that represents the total investment balance as a function of time.

b. How was the investment growing 10 years after the investment?

c. At what age will Charly be able to have a savings of $ 40,000 dollars to pay for his studies

university?