Question $5$

$10$ pts

Barry open a compound interest savings account and his initial deposit was $$1,193.$ The account pays $3\mathrm{.}9\%$ annual interest and is compounded annually. How many years it would take for the balance to be $$1,943?$

Round your answer to the nearest hundredth of a year. Example: $23\mathrm{.}13$

The following is the balance function for compound interest account where:

$P$ is the initial deposit,

$r$ is the annual interest rate,

$n$ is the number of compounding times per year.

$t$ is the number of years.

$B(t)=p*(1+\frac{r}{n}{)}^{n*t}$