Holly wants to save money for an emergency. holly invests $600 in an account that pays an interest rate of 7.5%. how many years will it take for the account to reach $7,600? round your answer to the nearest hundredth.

It will take 35.12 years for the account to reach $7,600.

Step-by-step explanation:

Holly invests money, P=$600

Interest rate,r= 7.5%

Amount money,A =$7,600

We know that the formula to obtain the amount

Where A= Amount money

P= Principle value

r= Interest rate

t= time in years

By using this formula

Taking both side logarithm then we get

1.5798-0.4771=

By substituting value from log table

1.1027=

By simplification

By division property of equality

t=35.117 years

t=35.12 years ( nearest hundreth place)

Hence, it will take 35.12 years for the account to reach $7,600.

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step-by-step explanation: