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

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.

Worksheet ViewUnit

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

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

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

A LaTex expression showing 3,170 =500 times (1+r) to the power of (24 over 12 )

A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t times 12 + 1

b $A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over \frac{t {12 } } - 1$

c $A LaTex expression showing r = +(P over P sub 0 ) to the power of \frac{t over 12 {2} } - 1$

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

A LaTex expression showing 1,394 =700 times (1+r) to the power of (8 over 4 )

a $A LaTex expression showing r = +(P over P sub 0 ) to the power of \frac{t over 4 {2} } - 1$

b $A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over \frac{t {4 } } - 1$

A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t times 4 + 1

Solve for the rate given this model of a quarterly compounding growth of money in a savings account?

A LaTex expression showing 675 =200 times (1+r) to the power of (18 over 3 )

a $A LaTex expression showing r = +(P over P sub 0 ) to the power of \frac{t over 3 {2} } - 1$

b $A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over \frac{t {3 } } - 1$

A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t times 3 + 1

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

A LaTex expression showing 3,136 =800 times (1+r) to the power of (28 over 4 )

A LaTex expression showing r = +(D over D sub 0 ) to the power of 1 over t times 4 + 1

b $A LaTex expression showing r = +(D over D sub 0 ) to the power of 1 over \frac{t {4 } } - 1$

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

A LaTex expression showing 465 =300 times (1+r) to the power of (9 times 3)

A LaTex expression showing r = +(D over D sub 0 ) to the power of 1 over t times 3 - 1

b $A LaTex expression showing r = +(D over D sub 0 ) to the power of 1 over \frac{t {3 } } + 1$

A LaTex expression showing r = +(D over D sub 0 ) to the power of t times 3 over 2 - 1

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

A LaTex expression showing 468 =400 times (1+r) to the power of (8 times 12)

a $A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over \frac{t {12 } } + 1$

A LaTex expression showing r = +(P over P sub 0 ) to the power of t times 12 over 2 - 1

A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t times 12 - 1

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

A LaTex expression showing 967 =300 times (1+r) to the power of (24 over 12 )

a $A LaTex expression showing r = +(P over P sub 0 ) to the power of \frac{t over 12 {2} } - 1$

b $A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over \frac{t {12 } } - 1$

A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t times 12 + 1

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

A LaTex expression showing 478 =300 times (1+r) to the power of (8 over 4 )

A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t times 4 + 1

b $A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over \frac{t {4 } } - 1$

c $A LaTex expression showing r = +(P over P sub 0 ) to the power of \frac{t over 4 {2} } - 1$