I need the answer as soon as possible A person invested $8000 for 1 year, part at 7%, part at 11%, and the remainder at 13%. The total annual income from theseinvestments was $922. The amount of money invested at 13% was $1000 more than the amounts invested at 7% and 11%combined. Find the amount invested at each rate.The person invested $at 7%, $ at 11%, and $at 13%.

We will evaluate this as shown below

A person invested $8000 for 1 year, part at 7%, part at 11%, and the remainder at 13%. The total annual income from the investments was $922. The amount of money invested at 13% was $1000 more than the amounts invested at 7% and 11 combined. Find the amount invested at each rate.

A person invested $8000 for 1 year, part at 7%, part at 11%, and the remainder at 13%. The total annual income from the investments was $922. The amount of money invested at 13% was $1000 more than the amounts invested at 7% and 11 combined. Find the amount invested at each rate.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CR: Review Problem Set

Problem 36CR: Sara invested 2500, part of it at 4 and the rest at 6 yearly interest. The yearly income on the 6...

See similar textbooks

Related questions

Q: The sum of Alyssa's age and her sister's age is 48 years. Emma age is 6 years less than twice here…

A: Here there are two sisters and we have to calculate their age with the given information.

Q: For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats…

A: Let the number of tickets of each type that were sold be x, y and z. As a total of 1000 tickets were…

Q: Phyllis invested 47000 dollars, a portion earning a simple interest rate of 5 percent per year and…

A: Given that

Q: A person invested $6800 for 1 year, part at 7%, part at 10%, and the remainder at 15%. The total…

A: Let amount a was invested at 7% Let amount b was invested at 10% Let amount c was invested at 15%

Q: A nursery has $40,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood…

A: Total inventory a nursery in dogwood trees and red maple trees is $40,000. Profit on a dogwood tree…

Q: Ben was in charge of ordering 32 pizzas for the office party. He ordered three types of pizza:…

Q: The number of tickets for sale at $25 should be The number of tickets for sale at $40 should be

Q: A company sells three types of products for $20, $15, and $10 per unit. In 1 year, the total revenue…

A: topic - profit and loss

Q: A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent…

A: Simple interest on investment is given by Interest = Investment * Rate of interest

Q: A bottle contains 700mL of fruit juice with a concentration of 50% pure fruit juice. Jill drinks…

A: Let x be the concentration in the punch that Jill added.The concentration of pure fruit juice after…

Q: The manufacturer sold a product at 10 dollars per unit and sold all that was produced. The fixed…

Q: A paper company needs to ship paper to a large printing business. The paper will be shipped in small…

Q: Two neighbors, Wilma and Betty, each have a swimming pool. Both Wilma's and Betty's pools hold…

Q: A person invested $8300 for 1 year, part at 4%, part at 11%, and the remainder at 14%. The total…

A: The total amount invested is $8,300. It is given that the amount invested at 14% interest rate is…

Q: Phyllis invested 65000 dollars, a portion earning a simple interest rate of 4 percent per year and…

A: given Total investment=$65000let first portion invesstment=$xthen rest portion…

Q: A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent…

Q: A farmer sold 500 oranges, the big at 40 cents and the small at 25 cents each. The money he…

Q: One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who…

A: We have given : One safe investment pays 10% per year and one more risky investment pays 18% per…

Q: A paper company needs to ship paper to a large printing business. The paper will be shipped in small…

Q: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are…

A: Solution:let x = 60 mph the speed of the Amtrak train y = 45 mph the speed of the Freight traint =…

Q: Sam has half again as many apples as Katie, while together Sam and Katie have 80 more apples than…

Q: A person invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. The total…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats…

A: Topic - solution of equations

Q: Ben was in charge of ordering 31 pizzas for the office party. He ordered three types of pizza:…

A: Let C, P and S be the number of cheese, Pepperoni and supreme pizzas. It is given that the number of…

Q: Ben was in charge of ordering 28 pizzas for the office party. He ordered three types of pizza:…

A: Given query is to find the number of each Pizza.

Q: A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the…

A: Let x and y be the fuel efficiency of car 1 and car 2 respectively.

Q: If the circulation for newspaper 1 is 384 thousand more than the circulation for newspaper 2, and…

A: Let the circulation for newspaper 2 is xsince, the circulation for newspaper 1 is 3 & 4thousand…

Q: Isaac drove at an average speed of 46 mph over six hours. During the first three hours he drove at a…

A: Let Issac drove x miles in the first three hours and drove y miles in the last three hours.…

Q: An inventory of two types of Christmas lights shows a total of 71 lights valued at $318. If Type A…

Q: A person invested $6700 for 1 year, part at 4%, part at 9%, and the remainder at 12%. The total…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A person invested $6300 for 1 year, part at 8%, part at 9%, and the remainder at 15%. The total…

Q: ten pounds of mixed birdseed sells for $6.97 per pound.; The mixture is obtained from two kinds of…

A: To Determine: Ten pounds of mixed birdseed sells for $6.97 per pound.; The mixture is obtained from…

Q: Phyllis invested 52000 dollars, a portion earning a simple interest rate of 55 percent per year and…

Q: A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each…

A: Given that total number of seats is 6000. We have to find the number of tickets for sale at $26. Let…

Q: A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the…

Q: A 6000 seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each…

Q: Larry Mitchell invested part of his $37,000 advance at 3% annual simple interest and the rest at 6%…

Q: Phyllis invested 65000 dollars, a portion earning a simple interest rate of 4 percent per year and…

A: Total amount invested= $65000 Let's say Phyllis invest $x for interest of 4 percent per year. Then…

Q: Amanda has a total of two hundred four coins. She has three times as many dimes as nickels and…

Q: Devon invested $8000 in three different mutual funds. A fund containing large cap stocks made 6.2%…

A: Let he invested $x in the large cap stock fund.$y in real estate fund$z in bond fundTotal…

Q: A chemist needs to mix an 18% acid solution with a 45% acid solution to obtain 12 liters of a 36%…

A: Consider x is the amount of 18% solution, that is 18% of x =18100×x=0.18x So according to the…

Q: A man bought a cow and a calf for $990, paying 8 times as much for the cow as for the calf. What was…

A: Let the cost of the calf= x Cost of the cow = 8x So total cost= x+8x=9x

Q: A person invested $6100 for 1 year, part at 6%, part at 10%, and the remainder at 15%. The total…

A: Given A person invested $6100 for 1 year, part at 6%, part at 10%, and the remainder at 15%.…

Q: A 6000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

A: Given :Total seat = 6000Let x be the number of $27 ticketsand y be the number of $40 tickets

Q: A 6000-seat theater has tickets for sale at $26 and $40 How many tickets should be sold at each…

A: We can find the answer as below.

Q: A 6000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

Q: Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and…

A: System of the linear equation: - A system of equations, often known as a set of simultaneous…

Q: A 6000-seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each…

Q: A 6000 -seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each…

A: Let x is the number of the first ticket ( $24 ) y is the number of the second ticket ( $40 ) A/Q…

Question

I need the answer as soon as possible

A person invested $8000 for 1 year, part at 7%, part at 11%, and the remainder at 13%. The total annual income from these
investments was $922. The amount of money invested at 13% was $1000 more than the amounts invested at 7% and 11%
combined. Find the amount invested at each rate.
The person invested $
at 7%, $ at 11%, and $
at 13%.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The community college soccer team sold three kinds of tickets to its latest game. The adult tickets sold for $10, the student tickets for $8 and the child tickets for $5. The soccer team was thrilled to have sold 600 tickets and brought in $4,900 for one game. The number of adult tickets is twice the number of child tickets. How many of each type did the soccer team sell?
Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each suit sold. Company B offers him a position with a salary of $28,000 plus a $4 commission for each suit sold. How many suits would Kenneth need to sell for the options to be equal?
A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25 per pound. How many pounds of each type of seed mixture are used to make 200 pounds of custom-blend bird seed costing $0.95 per pound?
The community college fine arts department sold three kinds of tickets to its latest dance presentation. The adult tickets sold for $20, the student tickets for $12 and the child tickets for $10.The fine arts department was thrilled to have sold 350 tickets and brought in $4,650 in one night. The number of child tickets sold is the same as the number of adult tickets sold. How many of each type did the department sell?
Translate to a system of equations and solve: Jill’s Sandwich Shoppe owes $65,200 on two business loans, one at 4.5% interest and the other at 7.2% interest. The total amount of interest owed last year was $3,582. What was the principal for each loan?
Translate to a system of equations and then solve: Erin spent 30 minutes on the rowing machine and 20 minutes lifting weights at the gym and burned 430 calories. During her next visit to the gym she spent 50 minutes on the rowing machine and 10 minutes lifting weights and burned 600 calories. How many calories did she burn for each minutes on the rowing machine? How many calories did she burn for each minute of weight lifting?
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and truck driver. The sum of the annual salaries of the warehouse manager and office manager is $82,000. The office manager makes $4,000 more than the truck driver annually. The annual salaries of the warehouse manager and the truck driver total $78,000. What is the annual salary of each of the co-workers?
Translate to a system of equations and then solve: Mark went to the gym and did 40 minutes of Bikram hot yoga and 10 minutes of jumping jacks. He burned 510 calories. The next time he went to the gym, he did 30 minutes of Bikram hot yoga and 20 minutes of jumping jacks burning 470 calories. How many calories were burned for each minute of yoga? How many calories were burned for each minute of jumping jacks?
Sara invested 2500, part of it at 4 and the rest at 6 yearly interest. The yearly income on the 6 investment was 60 more than the income on the 4 investment. How much money did she invest at each rate?
Translate to a system of equations and then solve: Charlie left his mother’s house traveling at an average speed of 36 miles per hour. His sister Sally left 15 minutes (1/4 hour) later traveling the same route at an average speed of 42 miles per hour. How long before Sally catches up to Charlie?
Translate to a system of equations and then solve: Mitchell left Detroit on the interstate driving south towards Orlando at a speed of 60 miles per hour. Clark left Detroit 1 hour later traveling at a speed of 75 miles per hour, following the same route as Mitchell. How long will it take Clark to catch Mitchell?
Translate to a system of equations and solve: Julius invested $7000 into two stock investments. One stock paid 11% interest and the other stock paid 13% interest. He earned 12.5% interest on the total investment. How much money did he put in each stock?