Chapter R.2, Problem 79E

Construct a piecewise tax function where the tax is 5 % on the first  $15,000 of income, then 12 % on any income over $15,000.

Go to Yahoo!Finance and download data at the MONTHLY frequency for the stock Apple Inc. with ticker AAPL with starting date January 1, 1990 and end date August 4, 2016. Use the ADJUSTED CLOSING PRICE to create the monthly RETURNS that are the percentage change of the adjusted closing price (NB: make sure to sort first the price from OLDEST TO NEWEST; the percentage return is 100 times the price change between the current and previous month divided by the price in the previous month). Based on the time series of the stock return, answer the following questions (NB: you should have 319 monthly returns): Calculate the sample mean or average of the stock return: Calculate the sample standard deviation of the stock return: !!! For the questions below, use the values for the mean and std. dev. that you typed above (only the first 2 decimals)!!! Assuming that the returns follow a normal distribution: Calculate the P(return > 2.21): Calculate the P(-12.37 x) = 0.9704: Calculate the lower…

The table lists how Financial aid and come cut off‘s in dollars for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cut off for 1985. Year Income 1960. 21,250 1970. 27,500 1980. 33,750 1990. 40,000 2000. 46,250

1. The first year Tom started working for this company his wages were $7.50 per hour. On the second year his wages were increased by 4.5%. The third year his wages were 3% higher than those of the second year and were increased by 5% on the fourth year. What percent of the first year wages are his fourth year wages?

If Daniella opens a mutual fund account with a deposit of 15,000 and it promises to pay an annual interest rate of r% compounded on a monthly basis. Derive a function B, which shows the balance on Daniella's account the end of 6 years. Make a comparison of the rates of change in B with respect to the interest rate when r is 8%, 10% and 12%.

A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will cost $200 to produce each bicycle. A. Write the cost function, C, of producing x mountain bikes. C(x) = per month B. Write the average cost function, C, of producing x mountain bikes. C(x) = per month %3D C. How many mountain bikes must be produced each month for the company to have an average cost of $300 per bike? must be produced each month. Enter your answer in each of the answer boxes.

A principal amount of $6,000 is placed in a savings account with 6% annual interest compounded quarterly. Part A: List the total account balances for years 0 through 4. Show all necessary work. Part B: Which type of function best models the data? Part C: Solve for the APY. Show all necessary work.

. With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the ent each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the he minimum payment all the time is great for the credit card company, but not so great for the user? re correct he credit card company because they make a lot of money since the minimum payment first pays off the interest and second reduces the for the user because most of what the user is paying goes towards interest.

Straight-line DepreciationBook value is the value of an asset that a company uses to create its balance sheet.Some companies depreciate their assets using straight-line depreciation so that thevalue of the asset declines by a fixed amount each year. The amount of the declinedepends on the useful life that the company assigns to the asset. Suppose that acompany just purchased a fleet of new cars for its sales force at a cost of $31,500 percar. The company chooses to depreciate each vehicle using the straight-line methodover 7 years. This means that each car will depreciate by +31,500 7 = +4500 per year.(a) Write a linear function that expresses the book value V of each car as a functionof its age, x.(b) Graph the linear function.(c) What is the book value of each car after 3 years?(d) Interpret the slope.(e) When will the book value of each car be $9000?[Hint: Solve the equation V1x2 = 9000.]