The shortest loan period for the $30,000 car that would be under our $500 limit is the 60 month loan at a rate of $431.13 per month. 2b. Whether you can afford it or not, how much is the monthly payment for a $30,000 car for a 36 month loan? Answer: The 36 month loan is at a rate of $697.87 per month. 3a.
You win a dollar if the proportion of red marbles is larger than that of blue marbles, that is, if you get a proportion > 0.5 of reds. We know by the law of averages that chance error relative to the number of draws = (proportion of reds you get)- (proportion of reds expected) gets smaller and smaller as n increases. So use that to decide between the choices. So n=200 will get you closer to the true proportion of reds ( > 1/2) than n=100, and therefore n=200 will get you closer to winning the $1. p.286.
MA1210 Mod3 3.1 Quadratic and Exponential Functions 1. Jerry wants to purchase some items whose cost function is C=3x+5, where x is the number of items. If Jerry spends between $50 and $80, find the minimum and maximum number of items that he can purchase. C=3x+5 X=(c-5)/3 answer: 15 items min X=(50-5)/3 x=15 25 items max X=(80-5)/3 x=25 2. A projectile follows a parabolic path whose height, in meters, is given by the function f(x) = -x2 + 2x +2.
It would only be six different amounts. The amounts would be 10 cents using two nickels, 15 cents using a nickel and a dime, 20 cents using two dimes, 30 cents using a nickel and a quarter, 35 cents using a dime and a quarter, and 50 cents using two quarters. [pic] 4. Solve the problem: A long distance phone call costs $1.30 for the first minute plus $0.20 each additional minute. What is the cost of a 6-minute call?
Fill in the blanks: 68% of her phone bills are between $________72______ and $________48______. µ=60 δ= 12 µ+δ = 72 µ-δ= 48 4) The amount of Jen’s monthly phone bill is normally distributed with a mean of $50 and a standard deviation of $10. Find the 25th percentile. 43.28 = 50 - 13.44% X= µ±zδ X=50 ± z(10) X= 50± 0.7(10) = 57 OR 43 75th and 25th 43 being lower is 25th 5) The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?
State in a few words, what is an exponential function? What is the natural exponential function? Evaluate 4–1.5 using a calculator. Round your answer to three decimal places. The formula S = C (1 + r)^t models inflation, where C = the value today r = the annual inflation rate S = the inflated value t years from now Use this formula to solve the following problem: If the inflation rate is 3%, how much will a house now worth $510,000 be worth in 5 years?
• Unless otherwise stated, use a significance level of α = 5%. • Round all numeric answers to 4 decimal places. Question 1 [20 marks] (a) [5 marks] A student answers a multiple-choice examination question that offers four possible answers. Suppose that the probability that he knows the answer to the question is 0.8 and the probability that he guesses is 0.2. Assume that if the student guesses, the probability of selecting the correct answer is 0.25.
g. Find the 95% prediction interval for the sales for 1 week having 50 calls. Interpret this interval. h. What can we say about the sales when we had 100 calls in a week? (Points : 48) 4 Question 1. 1.
Compute the probability of no website visitors in a one-minute period. b. Compute the probability of two or more website visitors in a one-minute period. c. Compute the probability of one or more website visitors in a 30-second period. d. Compute the probability of five or more website visitors in a one-minute period. Exercise 3 : The average stock price for companies making up the S&P 500 is 30$, and the standard deviation is $8.20 (BusinessWeek, Special Annual Issue, Spring 2003).
(4 points) Problem 5: George Heinrich uses 1,500 per year of a certain subassembly that has an annual holding cost of $45 per unit. Each order placed costs George $150. He operates 300 days per year and has found that an order must be placed with his supplier 6 working days before he can expect to receive that order. For this subassembly, find: a) Economic order quantity. b) Annual holding cost.