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Exponential Function Solving - Growth (Discrete, Mis-matched Time Units) Scenario to Value at Time

Level 1

The topics in this unit focus on mastering exponential growth and decay functions. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

WorksheetView

Exponential Function Solving - Growth (Discrete, Mis-matched Time Units) Scenario to Value at Time Worksheet

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Exponential Function Solving - Growth (Discrete, Mis-matched Time Uni...
1
A savings account starts with $900. Each subsequent year it earns 7% in interest. After 16 quarters it has a certain amount of cash.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 over (1 + r) to the power of ( \frac{t {4 )}}
b A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t over 4 )
c A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t times 4)
2
A savings account starts with $500. Each subsequent year it earns 2% in interest. After 24 quarters it has a certain amount of cash.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t over 4 )
b A LaTex expression showing P = P sub 0 over (1 + r) to the power of ( \frac{t {4 )}}
3
A credit card starts with $400 of debt. Each subsequent quarter it grows by 3% in interest. After 21 months the debt has grown to a certain amount.
How would you solve for the final debt given this scenario?
a A LaTex expression showing D = D sub 0 times (1 + r) to the power of ( t over 3 )
b A LaTex expression showing D = D sub 0 over (1 + r) to the power of ( \frac{t {3 )}}
4
A savings account starts with $500. Each subsequent year it earns 7% in interest. After 32 quarters it has a certain amount of cash.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t over 4 )
b A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t times 4)
c A LaTex expression showing P = P sub 0 over (1 + r) to the power of ( \frac{t {4 )}}
5
A savings account starts with $700. Each subsequent month it earns 8% in interest. After 6 years it has a certain amount of cash.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t over 12 )
b A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t times 12)
6
A credit card starts with $500 of debt. Each subsequent month it grows by 9% in interest. After 4 years the debt has grown to a certain amount.
How would you solve for the final debt given this scenario?
a A LaTex expression showing D = D sub 0 over (1 + r) to the power of ( t times 12)
b A LaTex expression showing D = D sub 0 times (1 + r) to the power of ( t times 12)
7
A savings account starts with $800. Each subsequent quarter it earns 4% in interest. After 6 years it has a certain amount of cash.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 over (1 + r) to the power of ( t times 4)
b A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t times 4)
8
A savings account starts with $500. Each subsequent month it earns 8% in interest. After 3 quarters it has a certain amount of cash.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t times 3)
b A LaTex expression showing P = P sub 0 over (1 + r) to the power of ( t times 3)
c A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t over 3 )