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Question 1139828: An initial deposit is made in a bank account. Find the interest rate, r , if the interest is compounded continuously and no withdrawals or further deposits are made. Round to the nearest hundredth of a percent.
Initial Amount: $3,500
Amount in 5 years: $5,100
Found 2 solutions by jim_thompson5910, MathTherapy: Answer by jim_thompson5910(35256) (Show Source): Answer by MathTherapy(10551) (Show Source):
You can put this solution on YOUR website! An initial deposit is made in a bank account. Find the interest rate, r , if the interest is compounded continuously and no withdrawals or further deposits are made. Round to the nearest hundredth of a percent.
Initial Amount: $3,500
Amount in 5 years: $5,100
Formula for interest rate (r), with future value (FV), present value (PV), and time (t), in years, KNOWN: 
OR
Using the future value formula for continuous compounding, or, , we get:
------- Substituting 5,100 for A, 3,500 for P, and 5 for r


-------- Converting to EXPONENTIAL form
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