*Will give brainiest. $600 is invested into an account with an interest rate of 7.5%.

A=P(1+r)^t

P=amount invested

r=interest rate as a decimal

t=time in years

A=total money in the account after time t.

How many years will it take for the account to reach $7,600? Round to the nearest hundredth.

easy

A=600(1+0.075)^t
A=7600
7600=600(1.075)^t
divide both sides by 600
38/3=1.075^t
take the ln of both sides
ln(38/3)=t(ln1.075)
divide both sides by ln1.075
(ln(38/3))/(ln(1.075))=t
use calculator
35.1072=t
hundreth
35.11

answer is 35.11 years
or 35 years and 1.32 months

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*Will give brainiest. $600 is invested into an account with an interest rate of 7.5%.A=P(1+r)^tP=amount invested r=interest rate as a decimal t=time in years A=total money in the account after time t. How many years will it take for the account to reach $7,600? Round to the nearest hundredth.

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