Respuesta :

After 50 years, she gets the amount $5000 in her bank account.

According to the statement

we have given that the Lina placed $1000 in a bank account with an annual compound interest rate of 8%.

And we have to find that the How long will it take until she has $5000 in the account.

So, For this purpose, we know that the

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

The principal amount = 1000

And 8% of P.A. = 8/100*1000

8% of P.A. = 80.

So, According to this after 1 year the amount become

1080.

it means the equation become after t years.

Amount(t) = 1000 + 80t

And the amount is 5000 which is given then

5000 = 1000 + 80t

4000 = 80t

t = 50.

So, After 50 years, she gets the amount $5000 in her bank account.

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