asked 40.1k views
2 votes
Logan invested $180 in an account paying an interest rate of 2,6% compounded

continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest ten dollars, would be in the account after 12 years?

asked
User Roboren
by
7.8k points

1 Answer

1 vote

Answer:

250

Explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=180 r=0.026 t=12

Given values

A=180e^{0.026(12)}

A=180e

0.026(12)

Plug in

A=180e^{0.312}

A=180e

0.312

Multiply

A=245.90784475

A=245.90784475

Use calculator (with e button)

A\approx 250

A≈250

Round to nearest ten dollars

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answered
User James Huang
by
7.6k points
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