Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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In 2010, an investor put money into a fund. The graph below shows the value v = v(d) of the investment, in dollars, as a function of
the date d.
$305,000-
$255,000
$205,000-
$155,000+
$105,000-
$55,000
$5,000
2010 2020
2030
2040
2050
2060
d = Date
v(d) = Investment value
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Transcribed Image Text:In 2010, an investor put money into a fund. The graph below shows the value v = v(d) of the investment, in dollars, as a function of the date d. $305,000- $255,000 $205,000- $155,000+ $105,000- $55,000 $5,000 2010 2020 2030 2040 2050 2060 d = Date v(d) = Investment value
(a) Express the original investment using functional notation.
Give the value of the above term.
(b) Is the graph concave up or concave down?
O concave up
concave down
Explain what this means about the growth in value of the account.
This means that the investment is ---Select--- vat --Select---
v rate.
(c) In what year will the value of the investment reach $55,000?
(d) What is the average yearly increase from 2050 to 2060?
$
per year
(e) Which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020?
O 2010 to 2020
O 2050 to 2060
Explain your reasoning.
The average yearly increase from 2010 to 2020 is $
The average yearly increase from 2050 to 2060 is
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Transcribed Image Text:(a) Express the original investment using functional notation. Give the value of the above term. (b) Is the graph concave up or concave down? O concave up concave down Explain what this means about the growth in value of the account. This means that the investment is ---Select--- vat --Select--- v rate. (c) In what year will the value of the investment reach $55,000? (d) What is the average yearly increase from 2050 to 2060? $ per year (e) Which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020? O 2010 to 2020 O 2050 to 2060 Explain your reasoning. The average yearly increase from 2010 to 2020 is $ The average yearly increase from 2050 to 2060 is
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