Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 10 - Cumulative Review - Page 732: 40

Answer

${$1,025.00}$

Work Step by Step

First remember that the formula for simple interest is $ A=P(1+rt) $ wherein A is final amount, P is initial primary balance, r is annual interest rate, and t is time in years. First, converting R percent to r a decimal r = R/100 = 3%/100 = $0.03$ per year. Putting time into years for simplicity, 10 months / 12 months/year = $0.833333$ years. Solving our equation: $A = 1000(1 + (0.03 × 0.833333)) = 1024.99999$ $A = {$1,025.00} $ The total amount accrued, principal plus interest, from simple interest on a principal of ${$1,000.00}$ at a rate of 3% per year for 0.833333 years (10 months) is ${$1,025.00} $.
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