Exponential Function Solving - Decay (Discrete, Mis-matched Time Units) Equation 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.

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

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Exponential Function Solving - Decay (Discrete, Mis-matched Time Unit...
1
Solve for the final cash given this model of a balance of a charitable endowment (monthly disbursements)?
A LaTex expression showing P =300 times (1-0.05) to the power of (8 times 12)
a A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t times 12)
b A LaTex expression showing P = P sub 0 over (1 - r) to the power of ( t times 12)
c A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t over 12 )
2
Solve for the final cash given this model of a balance of a charitable endowment (monthly disbursements)?
A LaTex expression showing P =200 times (1-0.09) to the power of (3 times 12)
a A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t times 12)
b A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t over 12 )
3
Solve for the final concentration given this model of a decline of a toxin concentration (hourly dialysis)?
A LaTex expression showing C =300 times (1-0.06) to the power of (4 times 24)
a A LaTex expression showing C = C sub 0 times (1 + r) to the power of ( t over 24 )
b A LaTex expression showing C = C sub 0 times (1 - r) to the power of ( t times 24)
4
Solve for the final cash given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing P =200 times (1-0.05) to the power of (1095 over 365 )
a A LaTex expression showing P = P sub 0 over (1 - r) to the power of ( \frac{t {365 )}}
b A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t over 365 )
c A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t times 365)
5
Solve for the final cash given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing P =600 times (1-0.08) to the power of (84 over 12 )
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 over (1 - r) to the power of ( \frac{t {12 )}}
c A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t times 12)
6
Solve for the final concentration given this model of a decline of a toxin concentration (daily dialysis)?
A LaTex expression showing C =900 times (1-0.05) to the power of (2 times 7)
a A LaTex expression showing C = C sub 0 over (1 - r) to the power of ( t times 7)
b A LaTex expression showing C = C sub 0 times (1 - r) to the power of ( t times 7)
c A LaTex expression showing C = C sub 0 times (1 + r) to the power of ( t over 7 )
7
Solve for the final cash given this model of a balance of a charitable endowment (weekly disbursements)?
A LaTex expression showing P =500 times (1-0.08) to the power of (42 over 7 )
a A LaTex expression showing P = P sub 0 over (1 - r) to the power of ( \frac{t {7 )}}
b A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t over 7 )
8
Solve for the final concentration given this model of a decline of a toxin concentration (daily dialysis)?
A LaTex expression showing C =700 times (1-0.04) to the power of (144 over 24 )
a A LaTex expression showing C = C sub 0 over (1 - r) to the power of ( \frac{t {24 )}}
b A LaTex expression showing C = C sub 0 times (1 - r) to the power of ( t over 24 )
c A LaTex expression showing C = C sub 0 times (1 + r) to the power of ( t times 24)