Suppose a basket of goods and services has been selected to calculate the CPI and 2012 has been selected as the base year. In 2012, the basket’s cost was $50; in 2014, the basket’s cost was $51; and in 2016, the basket’s cost was $52. The value of the CPI in 2014 was:

a. 98.0.
b. 102.0
c. 104.0
d. 151.0

The management of a private investment club has a fund of $250,000 earmarked for investment in stocks. to arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk (x), medium risk (y), and low risk (z). management estimates that high risk stocks will have a rate of return of 15%/year; medium risk stocks, 10%/year; and low risk stocks, 6%/year. the amount of money invested in low risk stocks is to be twice the sum of the amount invested in stocks of the other two categories. if the investment goal is to have a rate of return of 9% on the total investment, determine how much the club should invest in each type of stock. (assume that all the money available for investment is invested.)

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

On coral island in 2012, the labor force is 12,000, the unemployment rate is 10 percent, and the labor force participation rate is 60 percent. during 2013, 200 unemployed people found jobs and the working-age population increased by 1,000. the total number of people in the labor force did not change. the working-age population at the end of 2013 was the unemployment rate at the end of 2013 was round up to the second decimal. the labor force participation rate at the end of 2013 was round up to the second decimal.