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Exponential Function Solution Equation - 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.

WorksheetView

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

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Exponential Function Solution Equation - Growth (Discrete, Mis-matche...
1
Rearrange this equation to solve for the rate given this model of a monthly compounding growth of money in a savings account?
A LaTex expression showing 259 =200 times (1+r) to the power of (3 times 3)
a A LaTex expression showing r = -(259 over 200 ) to the power of 1 over \frac{3 {3 } } + 1
b A LaTex expression showing r = (259 over 200 ) to the power of 1 over 3 times 3 - 1
c A LaTex expression showing r = (259 over 200 ) to the power of 3 times 3 over 2 - 1
2
Rearrange this equation to solve for the rate given this model of a yearly compounding growth of money in a savings account?
A LaTex expression showing 2,872 =700 times (1+r) to the power of (36 over 12 )
a A LaTex expression showing r = (2872 over 700 ) to the power of 1 over \frac{36 {12 } } - 1
b A LaTex expression showing r = -(2872 over 700 ) to the power of 1 over 36 times 12 + 1
3
Rearrange this equation to solve for the rate given this model of a growth in credit card debt with quarterly interest?
A LaTex expression showing 717 =600 times (1+r) to the power of (9 over 3 )
a A LaTex expression showing r = -(717 over 600 ) to the power of 1 over 9 times 3 + 1
b A LaTex expression showing r = (717 over 600 ) to the power of \frac{9 over 3 {2} } - 1
c A LaTex expression showing r = (717 over 600 ) to the power of 1 over \frac{9 {3 } } - 1
4
Rearrange this equation to solve for the rate given this model of a yearly compounding growth of money in a savings account?
A LaTex expression showing 3,155 =300 times (1+r) to the power of (60 over 12 )
a A LaTex expression showing r = -(3155 over 300 ) to the power of 1 over 60 times 12 + 1
b A LaTex expression showing r = (3155 over 300 ) to the power of \frac{60 over 12 {2} } - 1
c A LaTex expression showing r = (3155 over 300 ) to the power of 1 over \frac{60 {12 } } - 1
5
Rearrange this equation to solve for the rate given this model of a growth in credit card debt with quarterly interest?
A LaTex expression showing 599 =300 times (1+r) to the power of (9 times 4)
a A LaTex expression showing r = (599 over 300 ) to the power of 9 times 4 over 2 - 1
b A LaTex expression showing r = (599 over 300 ) to the power of 1 over 9 times 4 - 1
c A LaTex expression showing r = -(599 over 300 ) to the power of 1 over \frac{9 {4 } } + 1
6
Rearrange this equation to solve for the rate given this model of a growth in credit card debt with yearly interest?
A LaTex expression showing 359 =200 times (1+r) to the power of (12 over 4 )
a A LaTex expression showing r = (359 over 200 ) to the power of \frac{12 over 4 {2} } - 1
b A LaTex expression showing r = -(359 over 200 ) to the power of 1 over 12 times 4 + 1
c A LaTex expression showing r = (359 over 200 ) to the power of 1 over \frac{12 {4 } } - 1
7
Rearrange this equation to solve for the rate given this model of a growth in credit card debt with monthly interest?
A LaTex expression showing 1,129 =800 times (1+r) to the power of (4 times 12)
a A LaTex expression showing r = (1129 over 800 ) to the power of 1 over 4 times 12 - 1
b A LaTex expression showing r = (1129 over 800 ) to the power of 4 times 12 over 2 - 1
c A LaTex expression showing r = -(1129 over 800 ) to the power of 1 over \frac{4 {12 } } + 1
8
Rearrange this equation to solve for the rate given this model of a growth in credit card debt with yearly interest?
A LaTex expression showing 9,457 =600 times (1+r) to the power of (32 over 4 )
a A LaTex expression showing r = (9457 over 600 ) to the power of 1 over \frac{32 {4 } } - 1
b A LaTex expression showing r = -(9457 over 600 ) to the power of 1 over 32 times 4 + 1
c A LaTex expression showing r = (9457 over 600 ) to the power of \frac{32 over 4 {2} } - 1