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!

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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Can you do A,b,c and d for me please?

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 + 15t?, 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!
Transcribed Image Text: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 + 15t?, 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!
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