The amount a money in the bank account can be expressed by the exponential equation A=300(1.005)^12t where A is the amount in dollars and t is the time in years. About how many years will it take for the amount in the account to be more than $900?

Respuesta :

Answer:

It will take more than 18.35 years for the amount in the account to be more than $900

Step-by-step explanation:

The amount in the bank account can be expressed by the exponential equation :

[tex]A=300(1.005)^{12t}[/tex]

Where A is the amount in dollars

t is the time

We are supposed to find About how many years will it take for the amount in the account to be more than $900

So, [tex]300(1.005)^{12t} >900[/tex]

[tex](1.005)^{12t} > \frac{900}{300}[/tex]

[tex](1.005)^{12t} > 3[/tex]

t>18.35

Hence It will take more than 18.35 years for the amount in the account to be more than $900

Answer:

19th year

Step-by-step explanation:

19th year