Samantha invested $67,000 in an account paying an interest rate of 3.9% compounded continuously. Assuming no deposits or withdrawals are made, how
much money, to the nearest dollar, would be in the account after 7 years?

A\approx 88031

A≈88031

Step-by-step explanation:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

P=67000\hspace{35px}r=0.039\hspace{35px}t=7

P=67000r=0.039t=7

Given values

A=67000e^{0.039(7)}

A=67000e  

0.039(7)

Plug in

A=67000e^{0.273}

A=67000e  

0.273

Multiply

A=88031.3164033

A=88031.3164033

Use calculator (with e button)

A\approx 88031

A≈88031

Round to nearest dollar

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation: