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We are asked to find the amount of money that would be in the account with $4.5%$ interest compounded continuously in $5$ years if we deposited $$800.$ Let's analyze the formula for continuously compounded interest.
$A=Pe_{rt} $
Here, $A$ is the amount in the account after $t$ years, $P$ is the principal amount invested, and $r$ is the annual interest rate. In our case: $P=800,$ $r=4.5%=0.045,$ and $t=5.$ Let's substitute these values into the equation and solve it for $A.$
There would be around $$1001.86$ in the account in $5$ years.