4. Investments.James had a total of $5000 in two different investment accounts. One account earned 3% interest andthe other earned 4.5% interest and the total interest earned was $195.a) Set up a system of linear equations.100000b) Solve your system by substitution to see how much James invested in each account.

James had a total amount of $5000 in total in two different bank One account earn 3% interest and…

Answered: 4. Investments. James had a total of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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solve each problem by setting up and solving a system of two equations and two unknowns or a system of three equations and three unknowns. Antonio had a total of $4200 debt on two credit cards. One of the cards charged 1% interest per month, and the other card charged 1.5% interest per month. Find the amount of debt on each card if he paid $57 in interest charges for the month.
3) Our school's art teacher took his class to a concert hall and paid $512 for 10 adult tickets and 9 children tickets. The next day, our music teacher took our class to the same concert hall and paid a total of $831 for 17 children and 15 adults. If a represents the price of an adult ticket, and c represents the price of a child's ticket, which system of equations can be used to find how much each child ticket and each adult ticket cost? B) C) A) 19ac 512 32ac-831 10a+9c=512 15a+17c-83 10c+9=512 15c+17a-83 D) 19(a+c)=512 32(a+c) 83
solve each problem by setting up and solving an appropriate system of equations. Doris invested some money at 7% and some money at 8%. She invested $6000 more at 8% than she did at 7%. Her total yearly interest from the two investments was $780. How much did Doris invest at each rate?
Solve this application problem using a system of equations: A grocery store recently sold a bag of peanuts for $0.76 and a bag of pistachios for $3.68. At the end of that day, 50 bags of peanuts and pistachios were sold for a total of $128.52. How many bags of each were sold?
solve each problem by setting up and solving a system of two equations and two unknowns or a system of three equations and three unknowns. After working her shift as a waitress, Kelly had collected tips of 30 bills consisting of one-dollar bills and five-dollar bills. If her tips amounted to $50, how many of each type did she have?
Skylar is booking a trip and needs to decide if he’d rather stay at a hotel or Airbnb. The Star Hotel charges $185 per night, whereas Airbnb charges $150 per night, plus a $70 cleaning fee. a). Write a system of two equations in two variables that model this problem situation.
A “piggy” bank contains nickels, dimes and quarters totaling $6.20 in value. The bank contains 53 coins, and there are two more nickels than dimes. How many coins of each variety are there in the bank? Set up and solve a system of equations for this problem. Show all your work, and clearly indicate your answer!

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