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. v(d) Investment value $305,000- $255,000- $205,000- $155,000+ $105,000- $55,000- $5,000 2010 2020 2030 2040 2050 2060 d = Date (a) Express the original investment using functional notation. 2010 ) Give the value of the above term. $ (b) Is the graph concave up or concave down? concave up concave down Explain what this means about the growth in value of the account. This means that the investment is increasing ✓ (c) In what year will the value of the investment reach $105,000? 2050 (d) What is the average yearly increase from 2050 to 2060? per year $ at an increasing ✓ Explain your reasoning. (e) which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020? 2010 to 2020 2050 to 2060 The average yearly increase from 2010 to 2020 is $ rate. . The average yearly increase from 2050 to 2060 is $
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. v(d) Investment value $305,000- $255,000- $205,000- $155,000+ $105,000- $55,000- $5,000 2010 2020 2030 2040 2050 2060 d = Date (a) Express the original investment using functional notation. 2010 ) Give the value of the above term. $ (b) Is the graph concave up or concave down? concave up concave down Explain what this means about the growth in value of the account. This means that the investment is increasing ✓ (c) In what year will the value of the investment reach $105,000? 2050 (d) What is the average yearly increase from 2050 to 2060? per year $ at an increasing ✓ Explain your reasoning. (e) which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020? 2010 to 2020 2050 to 2060 The average yearly increase from 2010 to 2020 is $ rate. . The average yearly increase from 2050 to 2060 is $
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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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.
v(d) Investment value
$305,000
$255,000-
$205,000+
$155,000+
$105,000
$55,000-
$5,000
2010 2020 2030 2040 2050 2060
d = Date
Express the original investment using functional notation.
2010
)
Give the value of the above term.
$
(b) Is the graph concave up or concave down?
concave up
concave down
Explain what this means about the growth in value of the account.
This means that the investment is increasing
(c) In what year will the value of the investment reach $105,000?
2050
(d) What is the average yearly increase from 2050 to 2060?
$
per year
at an increasing ✓
Explain your reasoning.
(e) Which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020?
2010 to 2020
2050 to 2060
The average yearly increase from 2010 to 2020 is $
rate.
C. The average yearly increase from 2050 to 2060 is $
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