Using either logarithms or a graphing calculator, find the time required for the initial amount to be at least equal to the final amount $5600, deposited at 4.4% compounded monthly, to reach at least $7100 The time required is year(s) and months.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Homework: HW 5.1
Score: 0 of 1 pt
15 of 25 (8
5.1.43
Using either logarithms or a graphing calculator, find the time required for the initial amount to be at least equal to the final amount.
$5600, deposited at 4.4% compounded monthly, to reach at least $7100
The time required is
year(s) and
months.
Enter your answer in the edit fields and then click Check Answer.
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Transcribed Image Text:Homework: HW 5.1 Score: 0 of 1 pt 15 of 25 (8 5.1.43 Using either logarithms or a graphing calculator, find the time required for the initial amount to be at least equal to the final amount. $5600, deposited at 4.4% compounded monthly, to reach at least $7100 The time required is year(s) and months. Enter your answer in the edit fields and then click Check Answer. All parts showing Clear All P Type here to search
Expert Solution
Step 1

The formula for compound interest is A=P1+rnnt where A is the amount, P is the principle, r is the rate of interest, n is the number of periods and t is the time in years.

The given amount is A=$7,100, Principle is P=$5,600.

The rate of interest is r=4.4%=0.044.

The interest is compounded monthly. So, n =12.

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