Technology Assignment 3: Investments It is January of 2010, and three friends decide to start investing for their retirements. Ron says, "I don't trust banks, but I'm going to start putting away $100 a month in a secret hiding place." Tom says, "I have $5000 which I'm going to invest in a nightclub. I'm guaranteed a 5% annual return, continuously compounded." Ben says, "I'm going to put $50 a month into a 401(k) account. It gets 5% annual interest, compounded monthly." All three begin their investment plans in January of 2010. The results are graphedEach function uses the input t, representing time in years. Open the graph link and use the graph, together with the information given above, to answer the questions below in the Answer column of the table. Question Answer below Whose investment is represented by f(t)? Whose investment is represented by g(t)? Whose investment is represented by h(t)? During 2010, whose investment balance is highest? Whose investment balance is eventually highest? In what year does this investment balance first become the highest of the three? Whose investment balance is eventually lowest? In what year does this investment balance first become the lowest of the three? For the next 3 questions, determine how long it will take each investment to reach a balance of $50,000. An easy way to do this is to graph y=50000 and find where this line intersects each function. How long does it take Ron's investment to reach $50,000? How long does it take Tom's investment to reach $50,000? How long does it take Ben's investment to reach $50,000? For the remaining questions, consider all three investment plans in 2030, after 20 years of investing What is the balance of Ron's investment? (Use Desmos to evaluate Ron's investment function after 20 years.) How much of his own money has Ron put into his investment? How much has Ron gained on his investment? What is the balance of Tom's investment? (Use Desmos to evaluate Tom's function.) How much of his own money has Tom put into his investment? How much has Tom gained on his investment? What is the balance of Ben's investment? (Use Desmos to evaluate Ben's function.) How much of his own money has Ben put into his investment? How much has Ben gained on his investment