an ally. A year after your deposit, the s You deposit $3,000 at the end of the year (K ount that pays interest at a rate of 6% interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; th interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% o annually. a. How much money should be in the savings account 16 years after the initial deposit, assuming no further changes in the account's interest rate? b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account in Part (a) over the entire 16 year period?
an ally. A year after your deposit, the s You deposit $3,000 at the end of the year (K ount that pays interest at a rate of 6% interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; th interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% o annually. a. How much money should be in the savings account 16 years after the initial deposit, assuming no further changes in the account's interest rate? b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account in Part (a) over the entire 16 year period?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:You deposit $3,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. A year after your deposit, the savings account
interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; this time the
interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% compounded
annually.
a. How much money should be in the savings account 16 years after the initial deposit, assuming no further changes in the account's interest rate?
b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account in Part (a) over the entire 16 year period?
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