2. Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds she can deposit increasing amounts each year. Between 1995 and 2008, the annual amount (in dollars) that she deposited was given by the function D(t) = 3500 + 15t², where t represents the year of the deposit measured from the start of the plan. a. Find D(0) and D(15). What do these values represent? b. Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? Use algebra. c. Find the average rate of change of D between t = 0 and t = 15. What does this number represent? d. Let's say the function is instead D(t) = 3500 – t². Explain how parts a)-c) would be affected by this change. Be specific!
2. Ella is saving for her retirement by making regular deposits into a 401(k) plan. As her salary rises, she finds she can deposit increasing amounts each year. Between 1995 and 2008, the annual amount (in dollars) that she deposited was given by the function D(t) = 3500 + 15t², where t represents the year of the deposit measured from the start of the plan. a. Find D(0) and D(15). What do these values represent? b. Assuming that her deposits continue to be modeled by the function D, in what year will she deposit $17,000? Use algebra. c. Find the average rate of change of D between t = 0 and t = 15. What does this number represent? d. Let's say the function is instead D(t) = 3500 – t². Explain how parts a)-c) would be affected by this change. Be specific!
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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