Use the formula for continuous compounding to compute the

balance in the account after$1,5,$ and $20$ years.$$ Also, find the

APY for the account. A $$$$13000$ deposit in an account with an APR of

$2\mathrm{.}5\%$ The balance in the account after $1$ year is approximately $$$

$($Round to the nearest cent as$$ needed.$)$