Cumulative Exam — Cumulative exam Answers

You have sold your home and would like to travel the European country side. While you are out of the country, you would like the profit that you made on the sale of your home to gain interest while you are away in Europe. You made a profit of $25,000 on the sale of your home, and you invest this amount into an account paying 7.8% interest compounded annually. If you are to withdraw from the account over a 5 year period, such that by the end of the five year period there is zero dollars in the account, how much annually will you be able to withdraw from the account?a.$5,821.22c.$6,012.10b.$5,959.02d.$6,228.44

Reg has just purchased a new car. The car had a list price of $22,499, and he was responsible for 7.96% sales tax, a $2,138 vehicle registration fee, and a $262 documentation fee. Reg’s financing has an interest rate of 10.27%, compounded monthly, and a duration of three years. If Reg makes a monthly payment of $773.89, which of the following was his down payment? Round all dollar values to the nearest cent. (Note: The sales tax is applied to the full list price of the car as there is no trade-in or discount) a. $2,000 b. $2,200 c. $2,500 d. $2,800 Please select the best answer from the choices provided

You have decided to purchase a car for $22,346.16. The credit union requires a 10% down payment and will finance the balance with a 5.4% annual interest loan for 36 months. The sales tax in your city is 7.6%, and the license and title charges are $125.13. Determine the amount that the credit union will finance you for. Round your answer to the nearest cent.a.$24,179.10c.$21,761.20b.$24,169.60d.$21,752.64

Identify if the function is an exponential function. If so, identify the base and the initial value. a. Yes, it is an exponential function. Base = 1 Initial value = 5 c. Yes, it is an exponential function. Base = 4 Initial value = 2 b. Yes, it is an exponential function. Base = 4 Initial value = 5 d. No, it is not an exponential function. Please select the best answer from the choices provided

Find the first three iterates of the function with an initial value of . If necessary, round your answers to the nearest hundredth.a.c.b.d.

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 5i.a.3 + 8i, 9 - 14i, 21 - 26ic.3 + 8i, 9 + 14i, 21 + 26ib.3 + 8i, 11 - 16i, 23 - 28id.3 + 8i, 11 + 16i, 23 + 28i

The graph of an exponential function is given. Which of the following is the correct equation of the function?a.c.b.d.

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.

The following table shows a portion of a four-year amortization schedule. After twenty-five payments, how much of the principal has been paid off? a. $2,669.28 b. $10,353.25 c. $9,543.97 d. $12,213.25 Please select the best answer from the choices provided

Based on the sketch below, how far is Joey’s house from the park?

The histogram below shows the number of weeks Jimmy spent different amounts of money to fill the gas tank in his car. If the graph is redrawn so that the scale on the y-axis begins with zero, which aspect of the graph will change the most?

Which times and distances are represented by the function? Select three options.

Triangle MRN is created when an equilateral triangle is folded in half.

The vertices of triangle ABC are A(5,2), B(–1,–6) and C(1,5). If ΔDEF is similar to ΔABC and , which could be the coordinates of vertices D and E?

You have decided to purchase a car for $25,625. The credit union requires a 10% down payment and will finance the balance with a 9% annual interest loan for 36 months. The sales tax in your city is 7.5%, and the license and title charges are $175.13. What is the total purchase price of the car including tax, license, and title? Round your answer to the nearest cent.a.$24,949.80c.$27,722.01b.$24,967.32d.$27,735.14

Calculate the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly. a. $247.44 b. $337.56 c. $433.88 d. $505.79 Please select the best answer from the choices provided

The times taken to assemble a clock at a factory are approximately normally distributed with a given mean = 3 hr and standard deviation = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?

A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. Which conclusion is valid based on the results of the test?

The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation graphed below, where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. If the equation is , what are the values of a and k?

Points Q and R are midpoints of the sides of triangle ABC.