A savings account gives $3\mathrm{.}7\%$ interest per year $($compounded on an annual basis$).$ You save the following amounts:

Each deposit on your savings account takes place at the beginning of each year $($therefore$,t=0$ means "now"$).$ There was

no nothing in the savings account prior to the deposits in the schedule above.

How much is in the savings account at the beginning of year $6?$

Round your final answer to cents; ignore the currency sign; use a decimal point $($no comma$),$ and do not indicate

thousands with a period or comma. For example: You calculated a final answer of $12,345\mathrm{.}6789$ and thus you enter:

$12345\mathrm{.}68$