Questions on Word Problems: Money, Business and Interest answered by real tutors!

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Question 354042: Sketch the graph of the quadratic function, indicating the coordinates of the vertex, the y-intercept and the x-intercepts (if any). (Do this on paper. Your instructor may ask you to turn in this graph.)
f(x) = x**2-20 x-800
Vertex
( 1, 2)
y-intercept
y = 3
x-intercepts (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
x =
x =

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Question 354105: Art calizon, jr. and batongbakal invested 80,000.00 and 40,000.00, respectively, in a hardware business. At the end oof the year , profits were 38,000.00. The partnership agreementprovided that each partner was to be credited with interest on his investment, and that the remaining profit (or loss) was to be shared ewually. If art received 2,400.00 more than the amount received by Orly, what was the rate of interest on the investment
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Question 354380: if you can save 7000 by not cashing in an ira now and investing in in an 8% annuity what is thne future value in five years

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Question 354461: henry paid $.80 for each bag of peanuts. he sold all but 20 of them for $1.50 and made a profit of $54. how many bags did he buy?
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Question 354619: roger has $3.10 consisting of quarters, dimes and nickels. He has twice as many quarters as dimes and three more dimes than nickels. find the number of each coin
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Question 354920: If a womann invested $2400 in a simple interest account and earned $84 in 6 months, what is the annual interest rate?
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Question 355087: A woman invested 4 times as much at 8% as she did at 7%. The total amount of interest she earns in 1 year from both accounts is $2,730. How much did she invest at each rate?
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Question 355108: Nadine found a wallet which contains 1560 pesos in P10 and P20 bills. If there are 110 bills in all, how many bills of each kind were there?
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Question 355090: 1,890 at 5% per year for 6 months
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Question 355690: Contributions accounted for two-thirds of the money was received. If $950 was received in all, how much money was contributed?
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Question 355676: how many nepalese rupees do a simple handwatch costs?
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Question 356192: How many pounds of cashews selling for $8.96 per pound must be mixed with 12 pounds of chocolates selling for $4.48 per pound to create a mixture that sells for $7.28 per pound?
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Question 356191: Equal amounts are invested in each of three accounts paying 7%, 8%, and 10.5% annually. If one year's combined interest income is $1,224.00, how much is invested in each account?
$______________

please show steps on how to solve this problem, thank you.

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Question 356194: During a storm, two teams of scientists leave a university at the same time in vans to search for tornadoes. The first team travels east at 20 mph and the second travels west at 45 mph. If their radios have a range of up to 65 miles, how long will it be before they lose radio contact?
__________ hour(s)


please explain how you got the answer, thank you!

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Question 356190: At the north campus of a small liberal arts college, 10% of the students are women. At the south campus, 50% of the students are women. The campuses are merged into one east campus. If 40% of the 1200 students at the east campus are women, how many students did each of the north and south campuses have before the merger?
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Question 356305: The null and alternate hypotheses are:
H0: μ1 ≤ μ2
H1: μ1 > μ2
A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8.

(a) Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)
Degrees of freedom
(b) State the decision rule for .05 significance level. (Round your answer to 3 decimal places.)
Reject H0 if t>
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
(d) What is your decision regarding the null hypothesis? Use the .05 significance level.







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Question 356509: Ms. Sidher invests a total of $18000 into two accounts bearing simple interest; one account bears 5% and the other bears 8%. If she earns $1260 in the interest for the year, how much did she invest in the account that earns 8%?
I tried this one and got the equation .08x + .05(18000-x)= 1260 x= $12000
Ms. Sidher invested $12000 in the account that earns 8%. Is this correct?

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Question 356549: Claire bought three bars of soap and five sponges of $2.31 Steve bought five bars of soap and three sponges for $3.05 Find the cost of each item
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Question 356622: Roberto invested some money at 8%. and then invested $5000 more than twice this amount at 12%. His total annual income from the two investments was $4440. How much was invested at 12%?
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Question 356691: if thirty pounds mixed nuts sells for $6.87 per pound. the mixture is obtained from two kinds of nuts, peanuts priced at $5.70 per pound and cashews at $8.70 per pound.how many pound of each variety of nuts are used in the mixture?
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Question 356692: a total of 15000 is invested in two funds paying 4%and 5% simple interest. the annual interest is $700. how much is invested in each fund?
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Question 356686: Use the markup equation S = C + rC, where S is the selling price, C is the cost, and r is the markup rate.
A pair of jeans with a selling price of $40 has a markup rate of 60%. Find the cost of the pair of jeans.

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Question 356709: Lani has a certain number of dollar bills in her purse. She has no other money. Lani spends half the money on a blouse and gives a dollar to a beggar outside the store. She spends half the remaining dollars for lunch and tips the waiter $2. She spends half the remaining dollars for a book, then goes to an ice cream parlor and spends $3 on a banana split. Lani now has one dollar bill left. Assuming that she never changed a dollar bill, how many bills did Lani start with?
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Question 356695: Five hundred tickets were sold for a fundraising dinner. the receipts totaled $34000. adult tickets were $7.50 each and childrens ticket were $14 each. how many tickets of each type were sold?
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Question 357204: Joe inherited some money from his father. He invested one-half of this amount at 5%, one-third (1/3) of this amount at 6%, and the rest at 3%. If the total income from these investments was $300,
What was the amount he inherited???

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Question 357257: How much should be invested at 6% compounded monthly in order to have $8500 at the end of ten years?
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Question 357294: A woman earns 15% more than her husband. Together they make $69300 per year. What is her monthly salary?
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Question 357370: if three sweatshirt sell for 10 dollars. How much should a customer pay for two sweatshirts?
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Question 357608: $1500 was invested at 8% compounded quarterly. Will it grow to $2000 in 4 years?
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Question 357624: $450 is invested at 8% compounded quarterly for six years. What is the amount at the end of six years?
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Question 357805: How much simple interest is earned on $300 deposited for 30 months in a savings account paying 7% simple interest annually? (The formula for calculating simple interest is Interest = Principal × Rate × Time or I = PRT.)

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Question 357804: In a local arena, there are 1000 premium seats, costing $50 each. Due to an increase in operating expenses, the arena must increase the price of a seat. They know that for every $3.75 increase in price, they will lose 4 patrons. Find the new price they should charge to make the most money and lose the fewest patrons.
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Question 357968: i need $4500 in 7 years. The bank offers a 2% intrest rate compounded semiannualy. How much would they need to deposit now in order to have $4500 in7 years
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Question 357803: A parking lot is 75 feet wide by 60 feet long. It is being torn up to install a sidewalk of uniform width all the way around. If the area of the new parking lot is 2/3 of the original one, find the width of the sidewalk.
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Question 358362: debra invested $18000.Part of it was invested at 3% annual simple interest, and the rest was invested at 4%. Her interest income for the first year was $650.How much did she invest at each rate?
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Question 358362: debra invested $18000.Part of it was invested at 3% annual simple interest, and the rest was invested at 4%. Her interest income for the first year was $650.How much did she invest at each rate?
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Question 358443: cindy invested a certain amount of money at 6% interest and 15000 more than that amount at 8% interest her yearly interest was 540 how much did she invest?
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Question 358713: Ali and keesha found a sale in a sporting good store. Ali spent $33 on 2 pair of shorts and 3 packages of socks. Keesha spent $27 on 1 pair of shorts and 5 packages of socks. How much does one of each item cost?
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Question 358713: Ali and keesha found a sale in a sporting good store. Ali spent $33 on 2 pair of shorts and 3 packages of socks. Keesha spent $27 on 1 pair of shorts and 5 packages of socks. How much does one of each item cost?
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Question 358969: a man has P18,000 which he invest partly at simple interest of 12 1/2% and the rest at 8 1/2% per annum. if his total annual income for this investment is P 1,770 how much was invested at each rate?

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Question 359112: i have a problem that has a person investing a fixed amount at two different interest rates. I know how much he got in annual interest. How would I create a problem/formula to solve this problem
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Question 359118: Hermann Industries is forecasting the following income statement:
Sales $10,000,000
Operating costs (excluding depreciation and amortization) 5,500,000
EBITDA $4,500,000
Depreciation and amortization 1,000,000
EBIT $3,500,000
Interest 500,000
EBT $3,000,000
Taxes (40%) 1,200,000
Net income $1,800,000
The CEO would like to see higher sales and a forecasted net income of $2,430,000.
Assume that operating costs (excluding depreciation and amortization) are 55% of sales, and depreciation and amortization and interest expenses will increase by 10%. The tax rate, which is 40%, will remain the same. What level of sales would generate $2,430,000 in net income? If necessary, round your answer to the nearest dollar at the end of the calculations.


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Question 359344: Money is invested in a "guaranteed fund" at 12% simple interest. After one year, there is 840 in your account. How much was originally invested?
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Question 359344: Money is invested in a "guaranteed fund" at 12% simple interest. After one year, there is 840 in your account. How much was originally invested?
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Question 359445: Jane has twenty bills in her wallet. She has a total of $80. If she has two more $5 bills than $10 bills, and four more $1 bills than $5 bills, how many bills of each does she have?
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