Exponential Function Solving - Growth (Continuous, Mis-matched Time Units) - Equation to 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.

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Exponential Function Solving - Growth (Continuous, Mis-matched Time Units) - Equation to Time Worksheet

Exponential Function Solving - Growth (Continuous, Mis-matched Time U...

Solve for the time given this model of a growth of debt on a credit card with continuous compounding?

A LaTex expression showing 269 =200 times e to the power of (0.05 times t over 3 )

a $A LaTex expression showing t = +1 over 3 times \frac{\ln{D times D sub 0 }}{r}$

b $A LaTex expression showing t = +3 times \ln{\frac{D over D sub 0 }}{r}$

c $A LaTex expression showing t = +3 times r over \ln{\frac{D {D sub 0 }}}$

d $A LaTex expression showing t = +1 over 3 times \ln{\frac{D over D sub 0 }}{r}$

Solve for the time given this model of a continuously compounding growth of a share price?

A LaTex expression showing 773 =700 times e to the power of (0.02 times t over 4 )

a $A LaTex expression showing t = +4 times \ln{\frac{S over S sub 0 }}{r}$

b $A LaTex expression showing t = +4 times r over \ln{\frac{S {S sub 0 }}}$

Solve for the time given this model of a continuously compounding growth of a share price?

A LaTex expression showing 350 =200 times e to the power of (0.07 times t times 12)

a $A LaTex expression showing t = +1 over 12 times r over \ln{\frac{S {S sub 0 }}}$

b $A LaTex expression showing t = +12 times \ln{\frac{S over S sub 0 }}{r}$

c $A LaTex expression showing t = +1 over 12 times \ln{\frac{S over S sub 0 }}{r}$

Solve for the time given this model of a continuously compounding growth of money in a savings account?

A LaTex expression showing 821 =700 times e to the power of (0.02 times t over 3 )

a $A LaTex expression showing t = +1 over 3 times \frac{\ln{P times P sub 0 }}{r}$

b $A LaTex expression showing t = +1 over 3 times \ln{\frac{P over P sub 0 }}{r}$

c $A LaTex expression showing t = +3 times \ln{\frac{P over P sub 0 }}{r}$

d $A LaTex expression showing t = +3 times r over \ln{\frac{P {P sub 0 }}}$

Solve for the time given this model of a continuously compounding growth of money in a savings account?

A LaTex expression showing 239 =200 times e to the power of (0.06 times t over 3 )

a $A LaTex expression showing t = +1 over 3 times \frac{\ln{P times P sub 0 }}{r}$

b $A LaTex expression showing t = +3 times r over \ln{\frac{P {P sub 0 }}}$

c $A LaTex expression showing t = +1 over 3 times \ln{\frac{P over P sub 0 }}{r}$

d $A LaTex expression showing t = +3 times \ln{\frac{P over P sub 0 }}{r}$

Solve for the time given this model of a continuously compounding growth of money in a savings account?

A LaTex expression showing 232 =200 times e to the power of (0.05 times t over 12 )

a $A LaTex expression showing t = +1 over 12 times \ln{\frac{P over P sub 0 }}{r}$

b $A LaTex expression showing t = +12 times \ln{\frac{P over P sub 0 }}{r}$

c $A LaTex expression showing t = +1 over 12 times \frac{\ln{P times P sub 0 }}{r}$

d $A LaTex expression showing t = +12 times r over \ln{\frac{P {P sub 0 }}}$

Solve for the time given this model of a continuous growth of a bacteria population?

A LaTex expression showing 493 =400 times e to the power of (0.03 times t over 12 )

a $A LaTex expression showing t = +1 over 12 times \frac{\ln{P times P sub 0 }}{r}$

b $A LaTex expression showing t = +12 times \ln{\frac{P over P sub 0 }}{r}$

Solve for the time given this model of a continuously compounding growth of money in a savings account?

A LaTex expression showing 1,146 =800 times e to the power of (0.09 times t times 12)

a $A LaTex expression showing t = +1 over 12 times r over \ln{\frac{P {P sub 0 }}}$

b $A LaTex expression showing t = +1 over 12 times \ln{\frac{P over P sub 0 }}{r}$