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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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

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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