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

Exponential Function Solving - Growth (Discrete, Mis-matched Time Uni...

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

A LaTex expression showing 503 =400 times (1+0.08) to the power of (t times 3)

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

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

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

Solve for the time given this model of a growth in credit card debt with monthly interest?

A LaTex expression showing 711 =500 times (1+0.04) to the power of (t times 12)

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

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

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

Solve for the time given this model of a growth in credit card debt with yearly interest?

A LaTex expression showing 3,360 =400 times (1+0.03) to the power of (t over 12 )

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

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

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

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

A LaTex expression showing 2,007 =300 times (1+0.02) to the power of (t over 12 )

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

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

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

Solve for the time given this model of a growth in credit card debt with monthly interest?

A LaTex expression showing 351 =300 times (1+0.02) to the power of (t times 12)

a $A LaTex expression showing t = 12 times \ln{\frac{D over D sub 0 }}{\ln{(1-r)}}$

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

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

d $A LaTex expression showing t = 12 times \ln{\frac{D over D sub 0 }}{\ln{(1+r)}}$

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

A LaTex expression showing 264,790 =400 times (1+0.07) to the power of (t over 12 )

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

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

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

Solve for the time given this model of a growth in credit card debt with monthly interest?

A LaTex expression showing 574 =500 times (1+0.02) to the power of (t times 3)

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

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

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

Solve for the time given this model of a growth in credit card debt with yearly interest?

A LaTex expression showing 10,778 =900 times (1+0.03) to the power of (t over 12 )

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

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