Find the amount in an account if $65,950 is invested at 5.25% compounded daily, for 10 years and 9 months.

we could use 365 days for a year, OR we could simply use the Continuously Compounding formula, which equates to the same thing anyway.

now, 10 years and 9 months is hmm let's see 10 years is 120 months plus 9, so 129 months, since a year has 12 months then that'd be 129/12 years, thus

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$65950\\ r=rate\to 5.25\%\to \frac{5.25}{100}\to &0.0525\\ t=years\to \frac{129}{12}\to &\frac{43}{4} \end{cases} \\\\\\ A=65950e^{0.0525\cdot \frac{43}{4}}\implies A=65950e^{0.564375}\implies A\approx115963.081691[/tex]