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 $

Reporting the value of assets for tax purposes. If a 3100 dollar refrigerator depreciates completely in 7 years, find a formula for its value as a function of time, x, in years. (The value you report depreciates with time, assume straight-line depreciation where the value is a linear function of time)

A dairy spends $24,000 per year to maintain its barns and equipment. It costs $2000 per year to feed and care for each dairy cow. (a) Using C for the number of dairy cows and E for the total yearly expense, in dollars, find a formula that gives the total yearly expense as a linear function of the number of dairy cows. E =        (b) Use functional notation to express the total expense if the dairy has 40 cows. E(40) E(40C)      40E E(2000) E(24,000) (c) Calculate the value from part (b). $