Julie receives a check for $\mathrm{\$}5000$ at the end of every year as part of an inheritance. She deposits it into an annuity at an annual rate of $2.8\mathrm{\%}$ compounded continuously. How much will her annuity be worth at the end of 6 years? Round your answer to the nearest dollar and do not use commas in the answer blank.
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Step 1 ：Calculate the accumulated amount for each deposit using the formula $A=P\cdot e^{rt}$

Step 2 ：Since the annual deposit is $\mathrm{\$}5000$, the annual rate is $2.8\mathrm{\%}$ or $0.028$ as a decimal, and the time is 6 years, calculate the total amount for each year separately

Step 3 ：For the first deposit, the time is 6 years, so the accumulated amount is $5000\cdot e^{0.028\cdot 6}$

Step 4 ：For the second deposit, the time is 5 years, so the accumulated amount is $5000\cdot e^{0.028\cdot 5}$

Step 5 ：Continue this process for each subsequent deposit, decreasing the time by 1 year each time, until the last deposit which is for 1 year

Step 6 ：Sum up the accumulated amounts for all deposits to get the total amount at the end of 6 years

Step 7 ：Round the final answer to the nearest dollar

Step 8 ：$\boxed{{\displaystyle 32212}}$