QUESTION 4 OMarte thie question On his way home from the school board meeting, Kevin fills up his car. He likes the idea of using gasoline with ethanol, but thinks his car can only handle 25% ethanol. At the gas station, he can use regular gas with 10% ethanol or E85 fuel with 85% ethanol. How many gallons of each type of fuel should Kevin use if he wants to fill up his car with 10 gallons of fuel containing 25% ethanol? 3 gallons of regular gas with 10% ethanol; 7 gallons of E85 fuel with 85% ethanol 7 gallons of regular gas with 10% ethanol; 3 gallons of E85 fuel with 85% ethanol 2 gallons of regular gas with 10% ethanol; 8 gallons of E85 fuel with 85% ethanol 8 gallons of regular gas with 10% ethanol; 2 gallons of E85 fuel with 85% ethanol SAVE & CONTINUE

QUESTION 4 OMarte thie question On his way home from the school board meeting, Kevin fills up his car. He likes the idea of using gasoline with ethanol, but thinks his car can only handle 25% ethanol. At the gas station, he can use regular gas with 10% ethanol or E85 fuel with 85% ethanol. How many gallons of each type of fuel should Kevin use if he wants to fill up his car with 10 gallons of fuel containing 25% ethanol? 3 gallons of regular gas with 10% ethanol; 7 gallons of E85 fuel with 85% ethanol 7 gallons of regular gas with 10% ethanol; 3 gallons of E85 fuel with 85% ethanol 2 gallons of regular gas with 10% ethanol; 8 gallons of E85 fuel with 85% ethanol 8 gallons of regular gas with 10% ethanol; 2 gallons of E85 fuel with 85% ethanol SAVE & CONTINUE

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter6: Polynomials

Section6.2: Use Multiplication Properties Of Exponents

Problem 168E: Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a...

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Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a car loses 10% of its value. This means that each year the value of a car is 90% of the previous year’s value. If a new car was purchased for $20,000, the value at the end of the first year would be $20000(0.90) and the value of the car after the end of the second year would be $20000(0.90)2. Complete the table shown below. What will be the value of the car at the end of the eighth year? Simplify the expression, to show the value in dollars.
An Uncertain Investment Suppose you invested 1300 in the stock market two years ago. During the first year the value of the stock increased by 12%. During the second year, the value of the stock decreased by 12%. How much money is your investment worth at the end of the two-year period? Did you earn money or lose money? Note: The answer to the first question is not 1300
Mixture Problem A health clinic uses a solution of bleach to sterilize petri dishes in which cultures e grown. The sterilization tank contains 100 gal of a solution of 2% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 5% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?
Mixture Problem A jeweler has five rings, each weighing 18g, made of an alloy of 10% silver and 90% gold. She decides to melt down the rings and enough silver to reduce the gold content to 75%. How much silver should she add?
Mixture Problem A car radiator contains 10 liters of a 30 antifreeze solution. How many liters should you replace with pure antifreeze to get a 50 antifreeze solution?
Financial Planning Mark has $100,000 to invest. His Financial consultant advises him to diversify his investment in three types of bonds: short-term, Intermediate-term, and long-term. The short-term bonds pay 4%, the intermediate term bonds pay 5%, and the long-term bonds pay 6% simple interest per year. Mark wishes to realize a total annual income of 5.1 % with equal amounts invested in short - and intermediate-term bonds. How much should he invest in each type of bond?
APPLICATIONS Mixture Problem A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilize tank contains 100 gal of a solution 2 ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 5 for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?
Mixture problem A biologist has two brine solutions, one containing 5 salt and another containing 20 salt. How many milliliters of each solution should she mix to obtain 1L of a solution that contains 14 salt?
Nutrition A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely 32 units of niacin and 22000 units of retinol. She uses two types of commercial pellet foods. Food A contains 0.12 unit of niacin and 100 units of retinol per gram. Food B contains 0.20 unit of niacin and 50 units of retinol per gram. How many gram of each food does she feed this group of rats each day?
Mixture problem A biologist has two brine solutions, one containing 5% salt and another containing 20% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contain 14% salt?
Investment Portfolio A total of $24,000 is invested in two corporate bonds that pay 3.5%and 5% simple interest. The investor wants an annual interest income of $930 from the investments. What amount should be invested in the 3.5% bond?