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You initially invest $300 in a savings account that pays a yearly interest rate of 3%.

(a) Write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (Let B be the account balance in dollars andt be the number of years since the initial investment.)

 

B(t)= 300*1.03^t

 

 What monthly interest rate best represents this account? Round your answer to three decimal places.

 

Calculate the decade growth factor. (Round your answer to two decimal places.)

 Nov 7, 2015
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You initially invest $300 in a savings account that pays a yearly interest rate of 3%.

(a) Write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (Let B be the account balance in dollars andt be the number of years since the initial investment.)

 

B(t)= 300*1.03^t

 

 What monthly interest rate best represents this account? Round your answer to three decimal places.

 

Calculate the decade growth factor. (Round your answer to two decimal places.)

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Your question is a little confusing, since you have already written the formula as an exponential function above!!!!.

The accurate MONTHLY interest rate that BEST represents the account is the following:

(1.03)^1/12=0.002466 X 100=.2466%

A decade(or 10 years) growth factor would be:

1.03^10=1.34.

 Nov 7, 2015

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