Question

Suppose John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. He makes no withdrawals or deposits. What is his APY to the nearest hundredth of a percent after 1 year?

Answer 1

`\bf \qquad \qquad \textit{Annual Yield Formula} \\\\ \left. \qquad \qquad \right.\left(1+(r)/(n)\right)^(n)-1 \\\\ \begin{cases} r=rate\to 3.5\%\to (3.5)/(100)\to &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\to &365 \end{cases} \\\\\\ \left(1+(0.035)/(365)\right)^(365)-1`