Problem 2 - §1.3 An Investment: 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 a.) Express the original investment using functional notation and give its value. b.) Is the graph concave up or concave down? Explain what this means about the growth in value of the account. c.) When will the value of the investment reach 55, 000? d) = Investment value

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Problem 2 - §1.3 An Investment: 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
a.) Express the original investment using functional notation and give its value.
b.) Is the graph concave up or concave down? Explain what this means about the growth in value of the
account.
c.) When will the value of the investment reach 55, 000?
U(d) = Investment value
Transcribed Image Text:Problem 2 - §1.3 An Investment: 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 a.) Express the original investment using functional notation and give its value. b.) Is the graph concave up or concave down? Explain what this means about the growth in value of the account. c.) When will the value of the investment reach 55, 000? U(d) = Investment value
d.) What is the average yearly increase from 2050 to 2060?
e.) Which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010
to 2020? Explain your reasoning.
Transcribed Image Text:d.) What is the average yearly increase from 2050 to 2060? e.) Which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020? Explain your reasoning.
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