SOLUTION: If $2500 is invested at a rate of 11% compounded continuously, find the balance in the account after 4 years. Use the formula A=Pe^rt. a.3795.18 b.3881.77 c.4333.13 d.18472.64

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Question 388776: If $2500 is invested at a rate of 11% compounded continuously, find the balance in the account after 4 years. Use the formula A=Pe^rt.
a.3795.18 b.3881.77 c.4333.13 d.18472.64
*the answers I'm getting do not match the answers above. please help.

Found 2 solutions by josmiceli, jim_thompson5910:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

given:



---------




This is close to (b). You are doing something wrong with
your calculator, I think.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the continuous compounding formula.


Plug in , (the decimal equivalent of 11%), and .


Multiply and to get .


Raise 'e' (which is approximately 2.71828) to the power to get (this value is approximate).


Multiply and to get .


Round to the nearest hundredth (ie to the nearest penny).


So the balance after 4 years is $3,881.77


So the answer is choice b)


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

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