4 12 Continuous Compounding 1 365
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Complete the table by determining the balance A for P dollars invested at rate r for t years and compounded n times per year P = $2500 r = 6% t = 20 years
Expert Solution
Step 1
Given: P=$2500, r=6%, t=20 years
The formula for Compound Interest is:
, where A is the amount, P is the principal, r is the rate of interest, n is the number of times compounding is done in a year and t is the time period.
For n=1:
Thus, when n=1 the value of the amount is $8,017.83
Step 2
For n=2:
Thus, when n=2 the value of the amount is $8,155.09.
For n=4:
Thus, when n=4 the value of the amount is $8,226.65.
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