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Exponential Function Solution Equation - Growth (Continuous, 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.

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

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Exponential Function Solution Equation - Growth (Continuous, Mis-matc...
1
Rearrange this equation to solve for the rate given this model of a continuously compounding growth of a share price?
A LaTex expression showing 261 =200 times e to the power of (r times 9 times 12)
a A LaTex expression showing r = \ln{\frac{261 over 200 }}{9 times 12}
b A LaTex expression showing r = \ln{\frac{200 over 261 }}{9 over 12 }
c A LaTex expression showing r = e to the power of \frac{261 over 200 }{9 times 12}
2
Rearrange this equation to solve for the rate given this model of a continuously compounding growth of money in a savings account?
A LaTex expression showing 567 =400 times e to the power of (r times 5 over 4 )
a A LaTex expression showing r = \ln{\frac{400 over 567 }}{5 times 4}
b A LaTex expression showing r = e to the power of \frac{567 over 400 }{5 over 4 }
c A LaTex expression showing r = \ln{\frac{567 over 400 }}{5 over 4 }
3
Rearrange this equation to solve for the rate given this model of a continuously compounding growth of a share price?
A LaTex expression showing 508 =400 times e to the power of (r times 8 times 12)
a A LaTex expression showing r = e to the power of \frac{508 over 400 }{8 times 12}
b A LaTex expression showing r = \ln{\frac{400 over 508 }}{8 over 12 }
c A LaTex expression showing r = \ln{\frac{508 over 400 }}{8 times 12}
4
Rearrange this equation to solve for the rate given this model of a continuously compounding growth of app downloads?
A LaTex expression showing 826 =600 times e to the power of (r times 8 times 7)
a A LaTex expression showing r = e to the power of \frac{826 over 600 }{8 times 7}
b A LaTex expression showing r = \ln{\frac{826 over 600 }}{8 times 7}
c A LaTex expression showing r = \ln{\frac{600 over 826 }}{8 over 7 }
5
A LaTex expression showing 313 =200 times e to the power of (r times 5 over 7 )
Rearrange this equation to solve for the rate given this model of a continuously compounding growth of app downloads?
a A LaTex expression showing r = \ln{\frac{313 over 200 }}{5 over 7 }
b A LaTex expression showing r = \ln{\frac{200 over 313 }}{5 times 7}
6
Rearrange this equation to solve for the rate given this model of a growth of debt on a credit card with continuous compounding?
A LaTex expression showing 751 =400 times e to the power of (r times 7 times 4)
a A LaTex expression showing r = \ln{\frac{751 over 400 }}{7 times 4}
b A LaTex expression showing r = e to the power of \frac{751 over 400 }{7 times 4}
c A LaTex expression showing r = \ln{\frac{400 over 751 }}{7 over 4 }
7
Rearrange this equation to solve for the rate given this model of a growth of debt on a credit card with continuous compounding?
A LaTex expression showing 1,372 =800 times e to the power of (r times 6 over 4 )
a A LaTex expression showing r = e to the power of \frac{1372 over 800 }{6 over 4 }
b A LaTex expression showing r = \ln{\frac{1372 over 800 }}{6 over 4 }
c A LaTex expression showing r = \ln{\frac{800 over 1372 }}{6 times 4}
8
Rearrange this equation to solve for the rate given this model of a continuous growth of an insect population?
A LaTex expression showing 596 =400 times e to the power of (r times 5 times 7)
a A LaTex expression showing r = \ln{\frac{400 over 596 }}{5 over 7 }
b A LaTex expression showing r = e to the power of \frac{596 over 400 }{5 times 7}
c A LaTex expression showing r = \ln{\frac{596 over 400 }}{5 times 7}