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# If a bank compounds continuously, then the formula used is A = Pe rt where e

If a bank compounds continuously, then the formula used is A = Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the nearest cent.

The problem is \$3,000 for 6 years at 7%. Would you use 365 for compounding continuously? Please show each step as I'm really have a problem with this one. Help!!!

### 2 Answers by Expert Tutors

Paul S. | Mathematics, Economics and Actuarial Science TutorMathematics, Economics and Actuarial Sci...
4.3 4.3 (3 lesson ratings) (3)
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The t in the formula A=Pert represents the time to accumulate, in years. So in this case, t=6. Plugging in to the formula gives us A=Pert = 3000 e(0.07 * 6) = 4,565.88.

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
0

A = 3000e^(.07*6) = \$4,565.88

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Attn: In the continuously compounding formula A = Pe ^(rt), t is the number of years. So, don't change it to days.