An investment: In 1995 an investor put money into a fund. The graph in Figure 1.35 shows the value v = v(d) of the investment, in dollars, as a function of the date d. a. Express the original...

An investment: In 1995 an investor put money into a fund. The graph in Figure 1.35 shows the value v = v(d) of the investment, in dollars, as a function of the date d.

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. What is the average yearly increase from 2035 to 2045?

e. Which is larger, the average yearly increase from 2035 to 2045 or the average yearly increase from 1995 to 2005? Explain your reasoning.