Investment Portfolio: In Exercise 57 and 58, you invest in AAA-rated bonds, A-rated bonds, and B-rated bonds. The average yields are
Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond for the given total investment and annual return.
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Chapter 7 Solutions
College Algebra
- At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B Consider a random sample of n=9 people who donated blood over the past three months. a) The expected number of people with blood type O+ is _____and the expected number of people with blood type A- is ______Round your answers to 2 decimal places. b) Calculate the following probabilities: P(X=5)=_________ Round your answer to 4 decimal places. P(X>2)=_________ Round your answer to 4 decimal places.arrow_forwardAt the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B please answer a) b) and c)arrow_forwardAt the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B a) Consider a random sample of n=9 people who donated blood over the past three months. The expected number of people with blood type O+ is and the expected number of people with blood type A- is Calculate the following probabilities: P(X=5)= __________ Round your answer to 4 decimal places. P(X>2)= __________ Round your answer to 4 decimal places. b) Consider a random sample of n=40 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood. ________…arrow_forward
- Suppose a bank draws its venture capital funds annually from three sources of income: business loans, auto loans, and home mortgages. One spreadsheet shows the income from each of these sources for the years 2023, 2024, and 2025, and the second spreadsheet shows the venture capital for these years. If the bank uses a fixed percent of its income from each of the business loans, find the percent of income from each of these loans. Spreadsheet 1 A 1 2 3 4 5 Years 2023 2024 2025 Spreadsheet 2 A Years 2023 2024 2025 1234 B с Income from Loans ($millions) Business 532 562 578 Auto 58 62 69 B Capital (millions) 483.97 503.25 521.33 D Home 682 695 721 C The percent of income from business loans is about% The percent of income from auto loans is about The percent of income from home loans is about %. (Do not round until the final answer. Then round to the nearest integer as needed.)arrow_forwardThe total revenue for Costco Wholesale Corporation is given here. Total Revenue Year (billions of $) 2012 99.10 2013 105.16 2014 112.64 2015 116.20 2016 118.72 (a) What variables are appropriate? O C (total cost for Costco Wholesale Corp. in billions of $) and P (total profit for Costco Wholesale Corp. in billions of $) ot (years since 2010) and R (total revenue for Costco Wholesale Corp. in billions of $) Ot (years since 2010) and P (total profit for Costco Wholesale Corp. in billions of $) Ot (years since 2010) and C (total cost for Costco Wholesale Corp. in billions of $) OR (total revenue for Costco Wholesale Corp. in billions of $) and C (total cost for Costco Wholesale Corp. in billions of $) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope to two decimal places and the vertical intercept to one decimal place.) ---Select--- (c) What is the slope of this model? Explain its meaning in this…arrow_forwardThe gross profit for Exxon Mobil Corporation for various years is given here. Gross Profit Year (in billions of $) 2002 37 2003 47 2004 61 2005 75 2006 84 (a) What variables are appropriate? O t (years since 2000) and R (gross revenue in billions of dollars) O t (years since 2000) and S (gross sales in billions of dollars) O S (gross sales in billions of dollars) and R (gross revenue in billions of dollars) O P (gross profit in billions of dollars) and s (gross sales in billions of dollars) O t (years since 2000) andP (gross profit in billions of dollars) (b) Find an equation for a model of these data. (Use the first and third values in the table to calculate your equation.) (c) Give a reasonable domain and range for this model. Domain: O [0, 2010] O [2, 7]arrow_forward
- At the Blood Bank, they know that O+blood is the most common blood type and that 40% of the people are known to have 0+blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X = number of people who have blood type O+ Y = number of people who have blood type A- Z = number of people who have blood type A or B a) Consider a random sample of n = 12 people who donated blood over the past three months. The expected number of people with blood type O+is and the expected number of people with blood type A-is Round your answers to 2 decimal places. Calculate the following probabilities: P(X = 9) Round your answer to 4 decimal places. o P(X > 3) = Round your answer to 4 decimal places.arrow_forwardC (gross cost of UPS Inc. in billions of $) and R (gross revenue of UPS Inc. in billions of $) O E (years since 2010) and P (gross profit of UPS Inc. in billions of $) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note th -Select- () Give a reasonable domain and range for this model. domain O (-10, 10] O [11, 15] O -0, 0) O [0, 20] O [-2, 8] range [41.9, 47.8] O [-50, 50] [37.3, 52.3] [0, 100] O (-o, co) (d) What is the slope of your model? Explain its meaning in this situation. (Round your slope to one decimal place. Do not include units in your answer.) The slope is This means that the gross profit for UPS Inc. --Select--- by about that value in billions of dollars each year. (e) Estimate the gross profit for UPS in 2019. (Round your answer to the nearest tenth of a billion dollars. Include units in your answer. More information.) In 2019, the…arrow_forwardIn 2000, 31% of U.S. adults viewed a college education as essential for success. For the period from 2000 through 2010, this percentage increased byapproximately 2.4 each year. The percentage of U.S. adults who viewed a college education as essential for success x years after 2000 can be represented by__________.arrow_forward
- An electronics retailer offers an optional protection plan for a mobile phone it sells. Customers can choose to buy the protection plan for $100 and in case of an accident, the customer pays a $50 deductible and the retailer will cover the rest of the cost of that repair. The typical cost to the retailer is $200 per repair, and the plan covers a maximum of 3 repairs. Let X be the number of repairs a randomly chosen customer uses under the protection plan, and let F be the retailer's profit from one of these protection plans. Based on data from all of its customers, here are the probability distributions of X and F: Calculate the mean of X.arrow_forwardConsumers satisfaction depends only on his income and leisure :arrow_forwardIn a certain year,27% of adults in a certain country viewed a college education as essential for success. For the following ten-year period, this percentage increased by approximately 2.6percent each year. The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by ________.arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage