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

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.

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

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Exponential Function Solving - Decay (Discrete, Mis-matched Time Unit...
1
Solve for the starting cash given this model of a balance of a charitable endowment (monthly disbursements)?
A LaTex expression showing 223 =P sub 0 times (1-0.07) to the power of (8 times 12)
a A LaTex expression showing P sub 0 = P over (1+r) to the power of t times 12
b A LaTex expression showing P sub 0 = P over (1-r) to the power of t times 12
c A LaTex expression showing P sub 0 = P times (1-r) to the power of t over 12
2
Solve for the starting cash given this model of a balance of a charitable endowment (weekly disbursements)?
A LaTex expression showing 186 =P sub 0 times (1-0.09) to the power of (14 over 7 )
a A LaTex expression showing P sub 0 = P over (1-r) to the power of \frac{t {7 }}
b A LaTex expression showing P sub 0 = P times (1-r) to the power of t times 7
3
Solve for the starting concentration given this model of a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 14 =C sub 0 times (1-0.06) to the power of (49 over 7 )
a A LaTex expression showing C sub 0 = C times (1-r) to the power of t times 7
b A LaTex expression showing C sub 0 = C over (1+r) to the power of \frac{t {7 }}
c A LaTex expression showing C sub 0 = C over (1-r) to the power of \frac{t {7 }}
4
Solve for the starting concentration given this model of a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 54 =C sub 0 times (1-0.06) to the power of (21 over 7 )
a A LaTex expression showing C sub 0 = C times (1-r) to the power of t times 7
b A LaTex expression showing C sub 0 = C over (1+r) to the power of \frac{t {7 }}
c A LaTex expression showing C sub 0 = C over (1-r) to the power of \frac{t {7 }}
5
Solve for the starting cash given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 17 =P sub 0 times (1-0.06) to the power of (60 over 12 )
a A LaTex expression showing P sub 0 = P times (1-r) to the power of t times 12
b A LaTex expression showing P sub 0 = P over (1+r) to the power of \frac{t {12 }}
c A LaTex expression showing P sub 0 = P over (1-r) to the power of \frac{t {12 }}
6
Solve for the starting cash given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 0 =P sub 0 times (1-0.07) to the power of (96 over 12 )
a A LaTex expression showing P sub 0 = P over (1+r) to the power of \frac{t {12 }}
b A LaTex expression showing P sub 0 = P times (1-r) to the power of t times 12
c A LaTex expression showing P sub 0 = P over (1-r) to the power of \frac{t {12 }}
7
Solve for the starting cash given this model of a balance of a charitable endowment (daily disbursements)?
A LaTex expression showing 223 =P sub 0 times (1-0.08) to the power of (7 times 7)
a A LaTex expression showing P sub 0 = P over (1-r) to the power of t times 7
b A LaTex expression showing P sub 0 = P times (1-r) to the power of t over 7
8
Solve for the starting cash given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 2 =P sub 0 times (1-0.08) to the power of (60 over 12 )
a A LaTex expression showing P sub 0 = P times (1-r) to the power of t times 12
b A LaTex expression showing P sub 0 = P over (1-r) to the power of \frac{t {12 }}
c A LaTex expression showing P sub 0 = P over (1+r) to the power of \frac{t {12 }}