Consider an economy with no foreign trade and no transfer payments whose consumption function is given as C = 100 + 0.9(Y ? T). (a) Initially let G = 800, T = 800, and I = 300. What is the level of Y? Assuming that taxes follow the simple function, T = ?Y, what is ?? (b) Holding ? constant, what is the effect on Y of increasing G by 100 to 900? (c) What is the effect ceteris paribus on Y of decreasing T by 100? At what value must the government set ? to achieve this tax cut? (d) Explain why the effects in (b) and (c) are different. (e) Suppose that the government wanted to maintain a balanced budget and increased both G and T by 100. What would be the effect on Y? What ? would it need to choose to keep the budget balanced?

The monthly payment m of a loan of amount p for y years with an interest rate r can be calculated by the formula: m = p(r/12) 1 â’ (1 + r/12)â’12y calculate the monthly payment and the cummulative total payment for a $100,000 loan with an interest rate of 4.85% if taken out for 10 years, for 11 years, etc., up to a 30 year term. display the results in a three-column table where the first column is the number of years, the second is the monthly payment, and the third is the cummulative total payment. note: use format bank; for this problem. also, remember to represent the interest rate as a decimal (e.g. 0.0485) 2. a torus-shaped water tube is designed to have a volume of 8, 000in3 . the volume of the tube, v , and its surface area, s, are given by: v = 1 4 ď€ 2 (a + b)(b â’ a) 2 s = ď€ 2 (b 2 â’ a 2 ) if a = kb, determine s, a, and b for k = 0.2, 0.3, 0.7. display the results in a table

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.

Peyton taylor drew a map with scale 1 cm to 10 miles. on his map, the distance between silver city and golden canyon is 3.75 cm. what is the actual distance between silver city and golden canyon?