Contemporary Mathematics for Business & Consumers
Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305886803
Author: Brechner
Publisher: Cengage
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Chapter 10, Problem 5AT
To determine

To calculate: The maturity value of the loan where principal amount is $15,800, rate of interest is 7% and time period is 4 years.

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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²
2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).
3. We'd like to know the first time when the population reaches 7000 people. First, graph the function from part (a) on your calculator or Desmos. In the same window, graph the line y = 7000. Notice that you will need to adjust your window so that you can see values as big as 7000! Investigate the intersection of the two graphs. (This video shows you how to find the intersection on your calculator, or in Desmos just hover the cursor over the point.) At what value t> 0 does the line intersect with your exponential function? Round your answer to two decimal places. (You don't need to show work for this part.) (2 points)

Chapter 10 Solutions

Contemporary Mathematics for Business & Consumers

Ch. 10.I - Principal Rate (%) Time Interest...Ch. 10.I - Prob. 6RECh. 10.I - Prob. 7RECh. 10.I - Use the exact interest method (365 days) and the...Ch. 10.I - Prob. 9RECh. 10.I - Prob. 10RECh. 10.I - Prob. 11RECh. 10.I - Prob. 12RECh. 10.I - Prob. 13RECh. 10.I - Use the exact interest method (365 days) and the...Ch. 10.I - Prob. 15RECh. 10.I - Prob. 16RECh. 10.I - Find the amount of interest and the maturity value...Ch. 10.I - Find the amount of interest and the maturity value...Ch. 10.I - Prob. 19RECh. 10.I - Prob. 20RECh. 10.I - Find the amount of interest and the maturity value...Ch. 10.I - Prob. 22RECh. 10.I - Prob. 23RECh. 10.I - Prob. 24RECh. 10.I - Prob. 25RECh. 10.I - Find the maturity value of the following loans....Ch. 10.I - Prob. 27RECh. 10.I - Find the maturity value of the following loans....Ch. 10.I - Prob. 29RECh. 10.I - Prob. 30RECh. 10.I - Prob. 31RECh. 10.I - Prob. 32RECh. 10.I - Prob. 33RECh. 10.I - Prob. 34RECh. 10.I - From the following information, determine the...Ch. 10.I - Prob. 36RECh. 10.I - Prob. 37RECh. 10.I - From the following information, determine the...Ch. 10.I - Prob. 39RECh. 10.I - Prob. 40RECh. 10.I - Prob. 41RECh. 10.I - Solve the following word problems. Round to the...Ch. 10.I - 43. What is the maturity value of a $60,000 loan...Ch. 10.I - 44. Central Auto Parts borrowed $350,000 at ...Ch. 10.I - 45. Emil Benson missed an income tax payment of...Ch. 10.I - 46. At the City National Credit Union, a , $8,000...Ch. 10.I - 47. Kyle Rohrs borrowed $1,080 on June 16 at ...Ch. 10.II - Telex Electronics borrowed money at 9% interest...Ch. 10.II - Prob. 8TIECh. 10.II - Prob. 9TIECh. 10.II - Rita Peterson borrowed $15,000 at 12% ordinary...Ch. 10.II - Prob. 1RECh. 10.II - Compute the principal for the following loans. Use...Ch. 10.II - Prob. 3RECh. 10.II - Prob. 4RECh. 10.II - Prob. 5RECh. 10.II - Prob. 6RECh. 10.II - Prob. 7RECh. 10.II - Prob. 8RECh. 10.II - Prob. 9RECh. 10.II - Prob. 10RECh. 10.II - Prob. 11RECh. 10.II - Prob. 12RECh. 10.II - Prob. 13RECh. 10.II - Prob. 14RECh. 10.II - Prob. 15RECh. 10.II - Prob. 16RECh. 10.II - Prob. 17RECh. 10.II - Prob. 18RECh. 10.II - Use the ordinary interest method to compute the...Ch. 10.II - Use the ordinary interest method to compute the...Ch. 10.II - Prob. 21RECh. 10.II - Prob. 22RECh. 10.II - Calculate the missing information for the...Ch. 10.II - Prob. 24RECh. 10.II - Prob. 25RECh. 10.II - Calculate the missing information for the...Ch. 10.II - Solve the following word problems. Round answers...Ch. 10.II - Solve the following word problems. Round answers...Ch. 10.II - Solve the following word problems. Round answers...Ch. 10.II - Solve the following word problems. Round answers...Ch. 10.II - Prob. 31RECh. 10.II - Solve the following word problems. Round answers...Ch. 10.II - Prob. 33RECh. 10.II - 34. Steve Perry borrowed $10,000 at ordinary...Ch. 10.II - Prob. 35RECh. 10.II - 36. The Mutt Hut Pet Shop borrowed $60,000 on...Ch. 10.II - Prob. 37RECh. 10.III - Erin Lang signed a $20,000 simple discount...Ch. 10.III - What is the effective interest rate of a simple...Ch. 10.III - Legacy Lumber received a $35,000 promissory note...Ch. 10.III - Bob Schuller purchased $10,000 in U.S. Treasury...Ch. 10.III - Calculate the bank discount and proceeds for the...Ch. 10.III - Calculate the bank discount and proceeds for the...Ch. 10.III - Prob. 3RECh. 10.III - Calculate the bank discount and proceeds for the...Ch. 10.III - Prob. 5RECh. 10.III - Prob. 6RECh. 10.III - Prob. 7RECh. 10.III - Prob. 8RECh. 10.III - Using ordinary interest, 360 days, calculate the...Ch. 10.III - Prob. 10RECh. 10.III - Using ordinary interest, 360 days, calculate the...Ch. 10.III - Prob. 12RECh. 10.III - Using ordinary interest, 360 days, calculate the...Ch. 10.III - Prob. 14RECh. 10.III - Prob. 15RECh. 10.III - The following interest-bearing promissory notes...Ch. 10.III - The following interest-bearing promissory notes...Ch. 10.III - Prob. 18RECh. 10.III - The following interest-bearing promissory notes...Ch. 10.III - Prob. 20RECh. 10.III - Prob. 21RECh. 10.III - Calculate the interest, purchase price, and...Ch. 10.III - Calculate the interest, purchase price, and...Ch. 10.III - Prob. 24RECh. 10.III - Prob. 25RECh. 10.III - Use the ordinary interest method, 360 days, to...Ch. 10.III - Boz Foster signed a $10.000 simple discount...Ch. 10.III - Prob. 28RECh. 10.III - Prob. 29RECh. 10 - 1. The price or rental fee charged by a lender to...Ch. 10 - List the three factors that determine the amount...Ch. 10 - Prob. 3CRCh. 10 - The interest calculation method that uses 365 days...Ch. 10 - 5. The interest calculation method that uses 360...Ch. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - The amount of money that the borrower receives at...Ch. 10 - 12. The actual interest rate charged on a...Ch. 10 - Prob. 13CRCh. 10 - Prob. 14CRCh. 10 - Prob. 1ATCh. 10 - Prob. 2ATCh. 10 - Prob. 3ATCh. 10 - Prob. 4ATCh. 10 - Prob. 5ATCh. 10 - What is the maturity value of the following loans?...Ch. 10 - Prob. 7ATCh. 10 - Prob. 8ATCh. 10 - Prob. 9ATCh. 10 - Prob. 10ATCh. 10 - Prob. 11ATCh. 10 - Prob. 12ATCh. 10 - Prob. 13ATCh. 10 - Prob. 14ATCh. 10 - Prob. 15ATCh. 10 - Prob. 16ATCh. 10 - Prob. 17ATCh. 10 - Prob. 18ATCh. 10 - Calculate the missing information for the...Ch. 10 - Prob. 20ATCh. 10 - Prob. 21ATCh. 10 - Prob. 22ATCh. 10 - Prob. 23ATCh. 10 - Prob. 24ATCh. 10 - Prob. 25ATCh. 10 - Prob. 26ATCh. 10 - Calculate the interest, purchase price, and...Ch. 10 - Solve the following word problems. Round to the...Ch. 10 - 29. Ronald Brown missed an income tax payment of...Ch. 10 - 30. Katie Chalmers borrowed money from her credit...Ch. 10 - 31. Ryan Roberts took out a loan for $5.880 at the...Ch. 10 - 32. Alicia Eastman deposited $2,000 in a savings...Ch. 10 - 33. Laurie Carron borrowed $16,000 at 14% ordinary...Ch. 10 - 34. Euromart Tile Company borrowed $40,000 on...Ch. 10 - Brandi Lee signed a $30,000 simple discount...Ch. 10 - Varsity Press, a publisher of college textbooks,...Ch. 10 - 37. Fernando Rodriguez purchased $64,000 in U.S....
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