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Question 1198725: The space shuttle traveled at v meters per second for L meters and was 5 seconds late for its reentry window. How fast should the shuttle have traveled to make it to the window on time?
Click here to see answer by ikleyn(52781)

Question 1198724: Dolphins varied directly as tuna and inversely as sharks squared. When there were 50 dolphins, there were 125 tuna and 5 sharks. How many dolphins were there when there were 16 tuna and only 2 sharks?
Click here to see answer by greenestamps(13200)

Question 1198720: Chris can mow the lawn in 20 minutes. His mother can mow the lawn in 30 minutes. Chris works for 10 minutes before his mother begins to help. How long do they work together to complete the job?
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Question 1198750: Mary is a sales representative for a food company. Over the last month, she closed $325,000 in retail distribution contracts. Calculate the total gross earnings that Mary earns under the following 3 commission models:
a. She is paid a straight commission of 3.45%.
b. She is paid 2% for sales on the first $100,000, 3% on the next $100,000, and 4% on all remaining sales.
c. She is paid a base salary of $2,000 plus a commission of 3.5% on all sales above $100,000.
Click here to see answer by Theo(13342)

Question 1198749: ) A builder must decide whether to rent or buy an excavating machine. If he were to rent the machine, the rental fee would be €600 per month, and the daily cost (gas, oil, and driver) would be €60 per day it is used. If he were to buy it, his fixed annual cost would be €4,000, and the daily operating and maintenance costs would be €80 per day the machine is used. What is the least number of days each year that he would have to use the machine to justify renting rather than buying it?

Click here to see answer by Theo(13342)

Question 1198752: In a recent international sport competition, the top three countriesCountry A, Country B, and Country C 126 won a total of medals. Country B won 9 more medals than Country C. Country A won 40 more medals than the total amount won by the other two. How many medals did each of the top three countries win?
Country A won
Country B won
Country C won
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Question 1198757: A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 400 biscuits per day. Each jumbo biscuit requires 2 oz of flour, each regular biscuit requires 1 oz of flour, and there is 600 oz of flour available. The income from each jumbo biscuit is $0.07 and from each regular biscuit is $0.12 . How many of each size biscuit should be made to maximize income? What is the maximum income?
The company should make how many jumbo and how many regular biscuits.
Click here to see answer by Theo(13342)

Question 1198756: If $100 is borrowed and the interest after 6 months is $8, what is the annual interest rate for a simple interest loan?
Rate =
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Question 1198805: For Christmas, each member of a class sends the other classmates card. If 992 cards are exchanged, find the number of pupils in the class
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Question 1198804: The monthly salaries of two men are in the ratio 3:2 and their expenditures are in the ratio 8:5. Each man saves sh.500 every month. Find their monthly salaries.
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Question 1198816: find the value of k in the equation k^3 - 3k^2 - 4= 0

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Question 1198817: The members of a club decide to buy a cassette tape recorder worth sh. 3000.00 by contributing equal amounts of money. Ten members fail to honour to their commitment and each of the rest then has to raise sh. 10 more. Find the number of people in the club
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Question 1198807: The members of a club decide to buy a cassette tape recorder worth sh. 3000.00 by contributing equal amounts of money. Ten members fail to honour to their commitment and each of the rest then has to raise sh. 10 more. Find the number of people in the club
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Question 1198824: An investment pays simple interest, and triples in 13 years. What is the interest rate?
Answer = _______ %
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Question 1198825: An investment pays simple interest, and triples in 13 years. What is the interest rate?
Answer = _______ percent.
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Question 1198823: If $600 is invested at 17% compounded quarterly, what is the interest earned after:
a) 5 years
Interest earned = $
b) 6 years
Interest earned = $
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Question 1198851: The length and breadth of a rectangular room are 15 m and 12 m respectively. If each of these measurements is liable to a 2% error calculate the absolute error in the area calculated from these values.
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Question 1198853: Your parents will retire in 18 years. They currently have $250,000, and they think they will need
$1 million at retirement. What annual interest rate must they earn to reach their goal, assuming
they don’t save any additional fund?
Click here to see answer by Theo(13342)

Question 1198874: An item is regularly priced at $18. Ann bought it at a discount of 70% off the regular price. How much did Ann pay?

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Question 1198880: Assume that you make monthly payments of $ 525 into an ordinary annuity paying 8% compounded monthly. How much will be in the account after 11 years?
Amount =
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Question 1198879: Hannah places $ 7500 into an account earning 5.75% interest compounded continuously, how much will she have after 10 years?
Final amount =
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Question 1198852: A sprinter is reported to have ran 100m in 9.8 seconds. If each of these measurements is liable to a 2% error, calculate the limits within which his speed lies.
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Question 1198850: 20 litres of milk are drawn from a churn containing 80 litres. If each of these measurements is liable to a 10% error, calculate the limits within which the remaining quantity lies.
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Question 1198883: Five percent of eggs shipped from the factory to
the retailer usually break on the way. If the retailer
wants to receive 7600 unbroken eggs, how many
eggs should he order from the factory?
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Question 1198886: The formulas we have been using assume that the interest rate is constant over the period in question. Over a period of 40 years, though, interest rates can vary widely. To see what difference the interest rate can make, let’s assume a constant APR of 4% for your retirement account. How much do you need your employer to deposit each month under this assumption?
Employer Contribution =
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Question 1198885: Suppose that you’d like to retire in 40 years and you want to have a future value of $ 500000 in a savings account. Also suppose that your employer makes regular monthly payments into your retirement account.
If you can expect an APR of 7% for your account, how much do you need your employer to deposit each month?
Employer Contribution =
Click here to see answer by ikleyn(52781)

Question 1198884: Assume that you want to have $ 1900 saved in a sinking fund in 1 year. The account pays 3.5% compounded monthly. What should be your monthly payments?
Monthly Payment =
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Question 1198892: What is the future value of a 7%, 5-year ordinary annuity that pays $300 each year?
If this were an annuity due, what would its future value be

Click here to see answer by Theo(13342)

Question 1198895: By letting y=2-a, simplify the expression
〖(x+2-a)〗^2+〖(2-a-x)〗^2-2(x-2+a)(x+2-a)

Click here to see answer by greenestamps(13200)

Question 1198895: By letting y=2-a, simplify the expression
〖(x+2-a)〗^2+〖(2-a-x)〗^2-2(x-2+a)(x+2-a)

Click here to see answer by MathLover1(20849)

Question 1198838: You are investing money at 10.5 percent annual interest, compounded continuously. It will take you ______ years to double your investment.
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Question 1198910: Suppose you can afford to pay $ 325 a month for 9 years towards a new car with no down payment. If the current interest rates are 4.75%, how expensive a car can you afford?
Car sticker price =
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Question 1198907: If Hannah places $ 3500 into an account earning 7.75% interest compounded continuously, how much will she have after 10 years?
Final amount =
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Question 1198924: The letters P, Q and R each stands for a different digit in the alphametric (PP)^2 + (PQ)^2 = QRQR. (Here, PP means a two-digit number, like 33.) If PP and PQ are consecutive numbers, then the value of P+Q + R is
Click here to see answer by math_tutor2020(3817)

Question 1198942: A person with tuberculosis is given a chest? x-ray. Four tuberculosis? x-ray specialists examine each? x-ray independently. If each specialist can detect tuberculosis 89?% of the time when it is? present, what is the probability that at least 1 of the specialists will detect tuberculosis in this? person?
Click here to see answer by ikleyn(52781)

Question 1198941: A person with tuberculosis is given a chest? x-ray. Four tuberculosis? x-ray specialists examine each? x-ray independently. If each specialist can detect tuberculosis 86?% of the time when it is? present, what is the probability that at least 1 of the specialists will detect tuberculosis in this? person?
Click here to see answer by ikleyn(52781)

Question 1198967: Two 3 sided spinners are made with numbers 1 ,2,3 on each edge, each with an
equal probability of occuring. If the two spinners are spun ,probability of spinning a
Double 3
Any double
A total of five

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Question 1198993: Marge, the office manager, has a budget of $28,000 to furnish the conference room of a hotel with 24 seating arrangements, each consisting of a table with four chairs. The chairs being considered for purchase cost twenty dollars less than one-half the cost of the table. How much money will remain in the budget after the purchase of the tables and chairs?
Ok so I'm thinking this is a inequality problem. I know that the basic set up is the number of chairs.(cost) + the number the tables.(cost) must be less than or equal to $28,000. There is 24 seating arrangements and within that there is 4 chairs and 1 table per arrangement.

Know facts
*I need to subtract the total cost of the furniture from $28,000 to get the
remaining amount in of the budget,
*4(24)=96 total chairs
*1(24)=24 total tables
*120 total pieces of furniture needed
*Let x=cost of chairs
*Let 2x+20 =cost of tables
96(x)+24(2x+20)< or = to 28,000
96x+48x+480< or = to 28,000
144x=28,000-480 ( replaced less than or equal to with just the =(sign))
144x=27520
144x/144 = 2750/144
x=191.1111

When I plug x back into everything I get it cost $18,346.66 for the chairs + $9,653.3333 for the tables which = $ 27,999.444
Just not sure were I'm going wrong here !
Thanks in advanced you rock who ever you are

Click here to see answer by ikleyn(52781)

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