Leah is also planning to make annual contributions to an investment account that pays 4.5% annual interest, compounded monthly. Part A Complete the tables to find the amount in the account if she deposits either $600 or $1200 per year. Amount Year with Interest Deposit 0 600 1 600 2 600 3 600 4 600 5 600 Total Amount 600 Amount Year with Interest Deposit 0 1200 1 1200 2 1200 3 1200 4 5 1200 1200 Total Amount 1200.00 Part B Use a graphing calculator to make a scatter plot of the amounts Leah will accumulate for years 1 through 5. Part C Use a calculator to find an exponential regression model, of the form A(t) = a · bt, that best fits each set of data. Part D Compare the graphs of the two models. What is the range of each function? How does the value of a affect the graphs? Which function has a greater rate of change?
Leah is also planning to make annual contributions to an investment account that pays 4.5% annual interest, compounded monthly. Part A Complete the tables to find the amount in the account if she deposits either $600 or $1200 per year. Amount Year with Interest Deposit 0 600 1 600 2 600 3 600 4 600 5 600 Total Amount 600 Amount Year with Interest Deposit 0 1200 1 1200 2 1200 3 1200 4 5 1200 1200 Total Amount 1200.00 Part B Use a graphing calculator to make a scatter plot of the amounts Leah will accumulate for years 1 through 5. Part C Use a calculator to find an exponential regression model, of the form A(t) = a · bt, that best fits each set of data. Part D Compare the graphs of the two models. What is the range of each function? How does the value of a affect the graphs? Which function has a greater rate of change?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer question #4, thank you!
Transcribed Image Text:4. Leah is also planning to make annual contributions to an investment account
that pays 4.5% annual interest, compounded monthly.
Part A
Complete the tables to find the amount in the account if she deposits either
$600 or $1200 per year.
Amount
Year with Interest Deposit
0
600
1
600
2
600
3
600
4
600
5
600
Total
Amount
600
Amount
Year with Interest Deposit
1200
1200
1200
1200
1200
1200
0
1
2
3
4
5
Total
Amount
1200.00
Part B
Use a graphing calculator to make a scatter plot of the amounts Leah will
accumulate for years 1 through 5.
Part C
Use a calculator to find an exponential regression model, of the form
A(t) = abt, that best fits each set of data.
Part D
Compare the graphs of the two models. What is the range of each function?
How does the value of a affect the graphs? Which function has a greater rate
of change?
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