A model for the percentage of U.S. households with outstanding student debt is given by:P = 0.056t? – 1.46t + 15.4where t is the number of years since 1990, and P is the percentage of U.S. households with outstandingstudent debt.In what year did the percentage of U.S. households with outstanding student debt reach 56%?Answer: In the year

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Answered: A model for the percentage of U.S.…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.9: Modeling With Equations

Problem 24E

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For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a yearfrom the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it shewants to put in a CD that pays 7%. 18. Set up and solve the equation for how much the woman should invest in each option to sustain a $6,000 annual return.
Victoria jogs 12 miles to the park along a flat trail and then returns by jogging on an 20 mile hilly trail. She jogs 1 mile per hour slower on the hilly trail than on the flat trail, and her return trip takes her two hours longer. Find her rate of jogging on the flat trail.
Hamilton loves to travel to Las Vegas, 255 miles from his home in Orange County. On his last trip, he left his house at 2:00 p.m. The first part of his trip was on congested city freeways. At 4:00 pm, the traffic cleared and he was able to drive through the desert at a speed 1.75 times faster than when he drove in the congested area. He arrived in Las Vegas at 6:30 p.m. How fast was he driving during each part of his trip?
Sarah wants to arrive at her friend’s wedding at 3:00. The distance from Sarah’s house to the wedding is 95 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?
You are choosing between two different prepaid cellphone plans. The first plan charges a rate of 26 centsper minute. The second plan charges a monthly fee of $19.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

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