Future value. You are a new employee with the Metro Daily Planet. The Planet offers three different retirement plans. Plan 1 starts the first day of work and puts ​$ away in your retirement account at the end of every year for years. Plan 2 starts after 10 years and puts away ​$ every year for years. Plan 3 starts after 20 years and puts away every year for the last years of employment. All three plans guarantee an annual growth rate of ​%. a. Which plan should you choose if you plan to work at the Planet for ​years? b. Which plan should you choose if you plan to work at the Planet for only the next ​years? c. Which plan should you choose if you plan to work at the Planet for only the next ​years? d. Which plan should you choose if you plan to work at the Planet for only the next ​years? e. What do the answers in parts​ (a) through​ (d) imply about​ savings?

Consider how health insurance affects the quantity of health care services performed. suppose that the typical medical procedure has a cost of $160, yet a person with health insurance pays only $40 out of pocket. her insurance company pays the remaining $120. (the insurance company recoups the $120 through premiums, but the premium a person pays does not depend on how many procedures that person chooses to undergo.) consider the following demand curve in the market for medical care. use the black point (plus symbol) to indicate the quantity of procedures demanded if each procedure has a price of $160. then use the grey point (star symbol) to indicate the quantity of procedures demanded if each procedure has a price of $40. q d at p=$160 q d at p=$40 0 10 20 30 40 50 60 70 80 90 100 200 180 160 140 120 100 80 60 40 20 0 price of medical procedures quantity of medical procedures demand if the cost of each procedure to society is truly $160, the quantity that maximizes total surplus is procedures. economists often blame the health insurance system for excessive use of medical care. given your analysis, the use of care might be viewed as excessive because consumers get procedures whose value is than the cost of producing them.

Alarge university wanted to study the relationship between completing an internship during college and students' future earning potential. prom the same graduating class, they selected a random sample of 80 students who completed an internship and 100 students who did not complete an internship and examined their salaries five years after graduation. they found that there was a statistically higher mean salary for the internship group than for the noninternship group. which of the following interpretations is the most appropriate? a. there could be a confounding variable, such as student major, that explains the difference in mean salary between the internship and no internship groups. b. we cannot infer anything from these data since the distribution of salaries is likely right skewed. c. you cannot draw any valid conclusions because the sample sizes are different. d. more students should complete internships because having an internship produces a higher salary.

Although appealing to more refined tastes, art as a collectible has not always performed so profitably. during 2003, an auction house sold a sculpture at auction for a price of $10,211,500. unfortunately for the previous owner, he had purchased it in 2000 at a price of $12,177,500. what was his annual rate of return on this sculpture? (a negative answer should be indicated by a minus sign. do not round intermediate calculations and enter your answer as