A man invested $20,000 into two accounts paying 5% and 10% simple interest per year. If his earned $1,200 in interests in one year how much did he invest in each account.

Q: The sum of $12,000 is invested in three mutual funds that pay 4%, 6.5% and 8% annual interest rates.…

A: Total amount invested is $12000 Let the mutual fund that pays 4% is mutual fund A, mutual fund that…

Q: Last month Albert earned half of what Betty earned, while Betty earned $5000 more than what Calvin…

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Q: On a recent trip to the convenience store, you picked up 2 gallons of milk, 5 bottles of water, and…

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

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Q: Joy invests a total of $22,000 in two accounts. The first account earned an annual interest rate of…

A: Joy invests a total of $22,000 in two accounts. The first account earned an annual interest rate of…

Q: A group of friends decided to divide the $800 cost of a trip among themselves. When two friends…

A: Let initially there were  n friends. and let share of each one was x. Then According to the…

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: Jean is x years old and her younger brother Jonathan is y years old. What will be the sum of their…

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Q: During a vacation together , Bob spent twice as much as Josh, who spent four times as much as Ralph…

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Q: Kyle buys $50,000 of company XYZ's shares, at a share price of $100. A year later, XYZ's share price…

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Q: Mary Jo spends $2,220 to buy stock in two companies. She pays $22 a share to one of the companies…

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Q: Ms. Burke invested $19,000 in two accounts, one yielding 7% interest and the other yielding 9%. If…

A: Total amount invested by Mr. Burke=$19000Let Mr. Burke invested x dollars in the first bank yeiding…

Q: Two brothers, Steven and Kevin, each inherit $19000. Steven invests his inheritance in a savings…

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Q: Phyllis invested $12,500, a portion earning a simple interest rate of 4% per year and the rest…

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Q: In the three month period November 1, 2013 through January 31, 2013, HED stock increased from $52…

A: Let the number of shares for the HED be x. The number of shares for OFW be y. Form the equations…

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: If Jasmine has 4 more nickels than dimes and they have a combined value of 95 cents, how many of…

A: Note the relation between dimes, nickels to the cents : . .

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

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Q: You invested $23,000 in two accounts paying 8% and 9% annual interest, respectively. If the total…

A: To solve the given question we first set up an equation with the help of a unknown variable ,then we…

Q: Trudy Waterbury, a financial planner, invested a certain amount of money at 9% annual simple…

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Q: For the month of December, company A's stock decreased from $50 to $43 per share and company B's…

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Q: A man has 16 coins in his pocket, all of which are dimes and quarters. If the total value of his…

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Q: A man has 22 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Given: A total number of coins= 22 (contains dimes and quarters). The total value of change= 385…

Q: Yesenia invests $24,000 into two funds – one paying a 3% annual interest rate and the other paying a…

A: Given, Principle(P)= $24000 r1= 3% r2= 7% r1=t2= 1year Total interest= $1000

Q: Last year, Jim had twice as many acres as Fred but over the course of the year Jim sold 300 acres…

A: topic - linear equation in one variable

Q: Larry Mitchell invested part of his $12,000 advance at 4% annual simple interest and the rest at 5%…

A: Solution ) suppose first part  x which is invested at                    4%  And.second part will be…

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

A: Let son had $ x Mr. Brown had $ 10x Together they had $ 220

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

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Q: The four owners of a shop realize a loss of $240 in February. If the loss is shared equally, what…

A: Given: Four owners of a shop realize a loss of 240 dollars in a month February.

Q: Jane and her two friends will rent an apartment for $875 a month, but Jane will pay double what each…

A: Given: Jane and her two friends will rent an apartment for $875 a month. Also given that jane will…

Q: Juan has a net monthly income of $4800 and is willing to spend 119% of that income on groceries, and…

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

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Q: a woman investes $52,000 in two different mutual funds. one that averages 10% per year and another…

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Q: Steve, Karen, and John want to buy a ₱1,350 stereo. If Karen agrees to pay twice as much as John,…

A: Let,John pays = xKaren pays = Twice as much as john = 2xSteve pays = Three times as much as karen =…

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: If Darius has 13 quarters and dimes in his pocket, and they have a combined value of 190 cents, how…

A: Let the number of quarters = x and number of dimes=y.

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…

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Q: If the owner of a burger stall pays $750 a month to rent his grill and $500 per month for a  stall…

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Q: A man has 21 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Given,          A man has 21 coins in his pocket, all of which are dimes and quarters. The total…

Q: A manlift rents for $624 dollars a week and the charge for delivery and pickup is $125. How many…

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Q: The startup cost for a restaurant is $120,000 and each meal costs $10 for the restaurant to make. If…

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Q: A customer bought $120 worth of coffee at $15 per pound and $72 worth of coffee at $18 per pound. On…

A: Given:

Q: If you had a million (106) dollars in a suitcase and you spent a thousand (106) dollars each day,…

A: Given:                    Total amount in million:= 106 dollars;                     Rate of…

Q: A group of people would like to buy a vacation cabin for $600,000, sharing the cost equally. If they…

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Q: Jackie has been offered positions by two cable companies. The first company pays a salary of $14,000…

A: Let he will have to sell x packages.  For x packages, first company pays= 14000+100x  For x…

Q: gary invests $52000 in two different mutual funds , one that averages 10% per year and another that…

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Q: Ms .Suzuki invested 17,000 in two accounts, one yielding 6% interest and the other yielding 8% . if…

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Q: A sugar molecule has twice as many atoms of hydrogen as it does oxygen and one more atom of carbon…

A: let the number of molecules of oxygen be x  Then the number of molecules of oxygen will be 2x and…

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.