Computing present values of single amounts and annuities compute the present value for each of the following amounts. round answers to the nearest dollar.

a. $120,000 received 10 years hence if the annual interest rate is: answer 1). 10% compounded annually. answer 2). 10% compounded semiannually.

b. $2,000 received at the end of each year for the next eight years discounted at 8% compounded annually.

c. $800 received at the end of each six months for the next 15 years if the interest rate is 10% per year compounded semiannually.

Consider a small island country whose only industry is weaving. the following table shows information about the small economy in two different years. complete the table by calculating physical capital per worker as well as labor productivity. hint: recall that productivity is defined as the amount of goods and services a worker can produce per hour. in this problem, measure productivity as the quantity of goods per hour of labor. year physical capital labor force physical capital per worker labor hours output labor productivity (looms) (workers) (looms) (hours) (garments) (garments per hour of labor) 2024 160 40 1,800 14,400 2025 180 60 3,900 23,400

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

All of the industries and businesses in the country of marksenia are privately owned and sell products at different prices that are not controlled by the government or any other organizational body. consumers in marksenia are free to buy as much of the products as they like from the businesses they want. the country of marksenia has a