Asked by Mia
You deposit $1000 into an account that pays interest at a 5.5% annual rate compounded continuously. After years, the balance in your account is given by the equation . How long will it take for the balance to grow to $2000? Round your answer to the nearest tenth.
Answers
Answered by
mathhelper
1000 e^(.055t) = 2000
e^(.055t) = 2
take the ln of both sides
.055t lne = ln 2, but ln e = 1
solve for t
e^(.055t) = 2
take the ln of both sides
.055t lne = ln 2, but ln e = 1
solve for t
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