Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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You invest in an annuity with a regular deposit of P-250 dollars each month. The
annuity pays an annual interest rate of r=0.030, compounded monthly (i.e., each
month you get an interest payment of i=r/12 times your current balance). As the
months pass, your balance in the annuity is described by the sequence: b1=P,
b2-DP+P(1+i), b3=P+P(1+i)+P(1+i?, b4=P+P(1+i)+P(1+iP+P(1+i)³and so on. In
general, your
balance at the end of month n is the sum of a geometric sequence.
How much is in your annuity after 27 years? (Round your answer to the nearest
cent.)
Your Answer:
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Transcribed Image Text:You invest in an annuity with a regular deposit of P-250 dollars each month. The annuity pays an annual interest rate of r=0.030, compounded monthly (i.e., each month you get an interest payment of i=r/12 times your current balance). As the months pass, your balance in the annuity is described by the sequence: b1=P, b2-DP+P(1+i), b3=P+P(1+i)+P(1+i?, b4=P+P(1+i)+P(1+iP+P(1+i)³and so on. In general, your balance at the end of month n is the sum of a geometric sequence. How much is in your annuity after 27 years? (Round your answer to the nearest cent.) Your Answer:
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