Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

A:

Q: Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit…

A: Let she has to work at least x hours In 1 hour she earns $42 In x hours she earns $42x    And her…

Q: Susan Marciano invested part of her $20,000 bonus in a fund that paid an 11% profit and invested the…

A: To find the amount of each investment

Q: Kate makes twice again what John makes while Fred makes 10% less than what John makes. If together…

A:

Q: On Monday, a local hamburger shop sold a combined total of 412 hamburgers and cheeseburgers. The…

A: Combined total number of hamburgers and cheeseburgers sold= 412 Let number of hamburgers sold be H.…

Q: If Andrew has 3 times as many quarters as nickels and they have a combined value of 400 cents, how…

A:

Q: Karen Waugtal invested some money at 9% annual simple interest and $250 more than that amount at 10%…

A: If amount P is invested at r% simple interest then the interest obtained at the end of a year equals…

Q: A man invested $14,000, some of it at 7% and some at 10% annual interest. The annual income from the…

A: Let he invested $ x in 7%. so he must invest $ (14000-x) in 10%

Q: a dealer bought A number of sheep for $440. After five had died, he sold the remainder at a profit…

A: Let the number of sheep he originally purchased be n. Sheep left after 5 had died = n-5

Q: A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than…

A: A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than…

Q: A woman bought a number of items for $48. She realized that if she had bought 4 more items for the…

A: This question is based on Quadratic equation.

Q: Larry Mitchell invested part of his $17,000 advance at 4% annual simple interest and the rest at 5%…

A:

Q: Mark works strictly on commission of his gross sales from selling two different products for his…

A: Algebra

Q: A theatre contains 457 seats and the ticket prices for a recent play were $59 for adults and $23 for…

A:

Q: Jamal and Moshe began a business with a capital of S7500. If Jamalfurnished half as much capital as…

A:

Q: Sarah, a sales agent, earns 17000 monthly plus 18% of his total sales for the month. If she earns a…

A: Let us consider that, Sarah's total sale for that month was x. According to the data given in…

Q: Pudge had $2.25 in dimes and nickels. If he had twice as many dimes as nickels, how many of each…

A:

Q: A house that was purchased for $175,000 has a property tax of $7,000Four years later, the house was…

A:

Q: Ronnie charged his customers a flat fee of $25 to fix computers. Then he charged $30 for each hour…

A:

Q: Weighs 5 pounds more than twice Brendan's weight, if total weight is 225 pounds how much was Danny's…

A:

Q: Roy worked for 2 hours and earned $24. How many hours must he work at the same rate to earn $72?

A:

Q: it costs $5 per square foot to have carpet installed, how much would it cost to install carpet in a…

A: If it costs $5 per square foot to have carpet installed, how much would it cost to install carpet in…

Q: Larry Mitchell invested part of his $29,000 advance at 3% annual simple interest and the rest at 4%…

A:

Q: Jamal and Moshe began a business with a capital of 7500 dollars. If Jamalfurnished half as much…

A:

Q: Nina receive an inheritance of $12500 from her grandmother. She invested part of it at 5% interest,…

A: Nina receive an inheritance of $12500 from her grandmother. She invested part of it at 5% interest,…

Q: he offers two products, turntables and cassette players. makes a profit of P300.00 on each…

A: Given that Garry Mornes assembles stereo equipment for sale in his shop he offers two products,…

Q: liz needs 24 credits to graduate high school. if she has completed 25% of the credits after her…

A:

Q: Bruce Blossum invested a sum of money at 10% annual simple interest and invested twice that amount…

A: Let the amount invested at 10% annual simple interest be equal to $x. Then the amount invested at…

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

A:

Q: Phyllis invested 52000 dollars, a portion earning a simple interest rate of 4 percent per year and…

A: Given that, Phyllis invested = $52000, P=52000 for 1 year, T=1  some amount at 4%, R1=4% some amount…

Q: If Kimberly needs 275 tiles to complete her design for the entrance , and each tile is $4.25,how…

A: If Kimberly needs 275 tiles to complete her design for the entrance, and each tile is $4.25, then we…

Q: If Mikayla has 3 more quarters than nickels and they have a combined value of 285 cents, how many of…

A: Topic:- algebra

Q: Larry Mitchell invested part of his $22,000 advance at 2% annual simple interest and the rest at 3%…

A:

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

A: Let, x = the cost of the calf.   The cow costs 8 times as much, s So it costs = 8x.

Q: Phyllis invested $12,000, a portion earning a simple interest rate of 4 1/ 2% per year and the rest…

A: Amount invested = Principal = 12000 $Let, one part of the invested be = xThen, second part will be =…

Q: On Monday, a local hamburger shop sold a combined total of 276 hamburgers and cheeseburgers. The…

A: Given,          On Monday, a local hamburger shop sold a combined total of 276 hamburgers…

Q: A woman bought a number of items for $48. She realized that if she had bought 10 more items for the…

A: Let     Number of items = n    Price per item = p

Q: a woman has $470,000 invested in two rental properties. one yields 10% on the investment, and the…

A:

Q: A boy has enough money to buy 40 pens. If each pen costs 50 paise less, he could buy four more pens…

A: Let the original price of each pen be x.

Q: Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and five…

A: Let q be the number of quarters. Given that she has twice as many dimes as quarters. That is, Number…

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

A: Given that:                        Selling price of each product = 10 rials/unitFixed cost = 500…

Q: A salesman sold ​$250 more than the rest of the sales staff. If the sales total for the day was…

A: Let X be the price that the rest of the staffs sold. The sales man has sold ​$250 more than the rest…

Q: A boy has three more nickels than dimes. If he were to spend three of his nickels as dimes, he would…

A:

Q: A recipe calls for 4 of a cup of flour to make one batch of doughnuts. If Cecilia wants to make 9…

A:

Q: Maria took two loans to pay for the $2000 cost of spring semester. One loan charges 6% annual…

A: We then know that the two loans total are of 2000 Let's call the two loans x and y. So we can say…

Q: A married couple had a combined annual income of $67,000. The wife made $3000 more than her husband.…

A: Given,           A married couple had a combined annual income of $67000. The wife           made…

Q: At first, Emuty had $142 and Anther had $37. After they each spent an equal amount of money, Emuty…

A: Given ,at first, Emuty had $142 and Anther had $37. After they each spent an equal amount of money,…

Q: The higher-priced speaker dock sells for $190 and the lower-priced speaker dock sells for $80. Last…

A: Given:   The price of higher -priced  speaker dock  =  $190            . . .(1)               The…

Q: The cost of a ticket to a horse ride is $25.00 for children and $50.00 for adults. On Tuesday,…

A:

Q: Susan Marciano invested part of her $14,000 bonus in a fund that paid a 9% profit and invested the…

A: Total amount invested is $14,000.x + y = 14000                                …… (1).Consider x as…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.