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Coolmath Algebra
Exponentials & Logarithms Lesson 12 - Solving Exponential Equations for Rates and Times  (page 2 of 4)
---- This algebra lesson explains how to solve exponential equations for rate and time

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Let's do another one:

How long will it take $10,000 to grow to $200,000 if it is invested at 7.5% compounded continuously?

* Compounded continuously means that we need to use this guy:

A = Pe^( rt )

200,000 = 10,000e^( .075t ) ... 20 = e^( .075t ) ... kill the e! ... Ln( 20 ) = Ln( e^( .075t ) ) ... Ln( 20 ) = .075t ... Ln( 20 ) / .075 = t ... t = approximately 39.9 years

It will take about 39.9 years for $10,000 to grow into $200,000 if it is invested at 7.5% compounded continuously.

 


TRY IT:

How long will it take $2000 to grow into $6000 if it is invested at 10% compounded monthly?

How long will it take $5039 to grow into $20,000 if it is invested at 4.6% compounded continuously?

If an alien amoeba splits into 1.7 alien amoebas every day, how long will it take for 1000 alien amoebas to grow into 42,000 alien amoebas?


Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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