A sum of $15,000 was invested in two municipal bonds, which pay 7% and 9% simple interest. The annual interest is $1230. Find the amount at each rate.

Q: Ms. Mills invested her $20,000 bonus in two accounts. She took a 4% loss on one investment and made…

A: Let Ms. Mills invested in first account be xand the second account be ySo,x+y=20000    ___(1)She…

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: A sum of $20,000 was invested in two municipal bonds, which pay 4% and 5% simple interest. The…

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: a person won 20000 and paid taxes of 25%. the remainder was invested partly for a 40% gain and a 10%…

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

A:

Q: Charlie paid $660 for 6 shirts and 4 belts. One shirt costs three times as much as one belt. If Sam…

A: Let cost of belt=x then Cost of shirt=3x Given, 6 shirts+4belts=660 6(3x)+4(x)=660 22x=660 x=30

Q: Three business partners share r150000 from investment profits as follows. Shelly Ann gets 57000 and…

A:

Q: A man has 19 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Algebra problem

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

A:

Q: How much will you have to pay for the TV in total?

A: 3.4 Given that, To buy a 76 inch plasma curve TV, Deposit = R 3,120 Monthly installment = R 712.48…

Q: Caleb is saving Php15 a week to buy a gift for his sister that costs Php247. 99, including tax. For…

A: Given: Caleb is saving Php15 a week to buy a gift for his sister that costs Php247. 99, including…

Q: The number of lemon poppyseed muffins that a baker makes each day is 40% of the total number of…

A:

Q: If 1 waffle costs 30 hats, the cost of 12 waffles is ______?

A: Given cost of 1 waffle is 30 hats So, the cost of 12 waffles will be - Cost 12 waffles = 12*30 Cost…

Q: A woman bought a number of items for $36. She realized that if she had bought 3 more items for the…

A:

Q: Larry Mitchell invested part of his $29,000 advance at 2% annual simple interest and the rest at 6%…

A: Given: Total amount invested is, P=$29,000. First rate of interest, r1=2%. Second rate of interest,…

Q: A car rental business charges a flat fee plus $15 per day to rent a car. Jamal paid $150 to rent a…

A: The business charges $15 per day + the flat fee to rent the car, and the amount paid by J to rent…

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

A:

Q: If Langston makes $22 dollars a week but always puts half into savings for college, after how many…

A: if guitar cost $200 and plus 7% sales tax then total cost of guitar  =200+200*0.07=214

Q: A woman bought a number of items for $120. She realized that if she had bought 15 more items for the…

A: Given Let x be the number of items she bought A woman bought a number of items for $120 that is she…

Q: You invested $11,000 in stocks and bonds, paying 5% and 8% annual interest. If the total interest…

A: The amount of money invested in stocks and bounds are needs to be calculated. Let x be…

Q: A theatre contains 432 seats and the ticket prices for a recent play were $57 for adults and $27 for…

A:

Q: A health club charges a one-time initiation fee and a monthly fee. John paid 100 dollars for 2…

A: Given:A health club charges a one-time initiation fee and a monthly fee. John paid 100 dollars for 2…

Q: The field biologist was recording sightings of raccoons and deer in a neighborhood over the course…

A:

Q: Sam Mathius invested part of his $10,000 bonus in a fund that paid an 11% profit and invested the…

A: Let x - equals amount he invested in the fund that p aid 11% profit.       y - equals the amount…

Q: Luisa invested $30,000, part at 9% and another part at 5%. If the total profit he receives is $1,950…

A:

Q: Ms. Jones invested $25,000 in two accounts, one yielding 4% interest and the other yielding 8%. If…

A:

Q: A woman bought a number of items for $48. She realized that if she had bought 18 more items for the…

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

Q: A shopkeeper has enough money to buy 40 books, each costing ₹125.How many books he can buy if he…

A: Given Cost of each book = ₹125 A shopkeeper has enough money to buy 40 books

Q: A house and a lot are appraised at $224,400. If the value of the house is five times the value of…

A: Given: A house and a lot appraised at $224,400. The value of house is five times the value of the…

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: Kathryn is traveling to Mexico and needs to exchange $490 into Mexican pesos.  If each dollar is…

A: Amount of money she have  = $490 Each dollar is worth 11.79 pesos i.e., $1 = 11.79 pesos

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

A:

Q: Renee is traveling to Mexico and needs to exchange $720 into Mexican pesos.  If each dollar is worth…

A:

Q: James bought a coat and a pair of shoes at her clothing store. The cost cost four times as much as…

A: Given: James bought a coat and a pair of shoes at her clothing store. The cost of the coat is four…

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: 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: Troy spent $84 on a set of computer games and of the remaining money on a few ink cartridges. If he…

A: first using the statements we will form the fraction equation and solving the equation will give us…

Q: If Mr. Brown and his son together had $220, and Mr. Brown had 10 times asmuch as his son, how much…

A: Let son had = $x So Mr.Brown has= 10x   They had total = x+10x=11x

Q: Marrion invested a portion of her $20, 000 award in an savings union that offers an annual simple…

A: Total amount deposited in both the account is $20,000 Let us consider the amount deposited in…

Q: During one week and Jessica's fantasy football team, Miles Ahead earned eight more points than twice…

A: Let the points earned by Jake Smith is x then the points earned by Miles will be 2x+8 It is given…

Q: Skyla pays a $100 installation fee and a $40 monthly service charge for her telephone. After how…

A: To find: The time when the bill of person S will be $300. Given: The installation charge is $100 and…

Q: At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to…

A:

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: Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes…

A: Given: Jack has twice as many dimes as quaters. Total value = $6.30

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: In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6.…

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.