Mike and Terri estimate that they want to buy a house for $\$170{,}000.00$, and they need to make a down payment of $15.5 \%$ of the cost of their house. If they have $33$ months to save for the down payment, how much do they need to invest into an account earning $2.743 \%$ compounded continuously so that they can reach their goal?

Mike and Terri need to invest .

(Note: Your answer should have a dollar sign and be accurate to two decimal places)