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  1. K

    Fractions With Units

    It is common to have the numerator and denominator with units of fractions as seen with rates -- for example 200 miles/2 hours. Can just the numerator of a fraction have units and not its denominator, and can just the denominator of a fraction have units and not its numerator? Please provide...
  2. K

    Cost of Goods Sold

    If a business had the following merchandise for sale for a particular month, the cost of goods sold would be determined as follows: $1000.00 cost of inventory at the beginning of the month+ $500.00 purchase of materials during the month - $800.00 ending inventory at the end of the month $700.00...
  3. K

    House Insurance Payment

    Explain how you determined the answer and the calculation used for determining the answer for the following: A house is valued at $15,000. The owner insured it for $8,000 under a policy containing an 80% coinsurance clause. If a fire should cause a $7,500 loss to the house, how much would the...
  4. K

    Finance Charge Per $100.00

    The calculation for determining the finance charge per $100.00 is determined by the following: Finance Charge/Amount financed * $100.00 = the finance charge per $100.00 Since the denominator (amount finance) is not multiplied by $100.00, how does the result equal the finance charge per...
  5. K

    Calculation Logic/Reasoning: A house is valued at $15K, and it is insured for $8K...

    A house is valued at $15,000, and it is insured for $8,000 under a policy containing an 80% coinsurance clause. If a fire should causes a $7,500 loss to the house, how much would the owner receive under his policy? Solution: $8,000/(80% * $15,000) * $7,500 = $5,000 What is the reasoning for...
  6. K

    Percentage of Increase/Decrease: If a regular haircut costs $5.00 in 1965...

    If a regular haircut costs $5.00 in 1965, and now approximately 50 years later the same haircut costs $20.00, is this increase a 200% increase or a 300% increase? Which calculation should be used to determine the correct percentage? 1. ($20.00 - $5.00)/$5.00 = $15.00/$5.00 = 3 = 300% or...
  7. K

    Percent & Discounts: confused by the "... rug of equal value...".

    Dealer A offers a rug for $450, less 33 &1/3% and 20%. Dealer B offers a rug of equal value for $500, less 30%, 20%, and 10%. Which is the better offer and how much better? Is this solution correct? Dealer A: $450 – (8/15 * $450) = $450 - $240 = $210 (I converted 33&1/3%5 to 1/3 and 20% to...
  8. K

    Monthly Interest Payments, if the interest rate is 18% per year

    If the interest rate is 18% per year, is it possible for the total of the interest payments to be less than $90, or $500 X 0.18? If yes, why.
  9. K

    Finance Charges on an installment loan is $49.00 and the amount financed is $200.00

    If the finance charge on an installment loan is $49.00 and the amount financed is $200.00, the finance charge per $1.00 is $0.245 ($49.00/$200.00). The finance charge per $100.00 is $24.50 ($49.00/$200 = $0.245/$1.00 * 100). What do these two amounts represent or indicate in regards to $1.00...
  10. K

    Veritcal Charts: "The length of each bar is proportional to the sales for that day."

    Veritcal Charts: "The length of each bar is proportional to the sales for that day." I have attached a attachment from a mathematics textbook that indicates the following regarding vertical charts: "The length of each bar is proportional to the sales for that day." What does "...proportional...
  11. K

    Converting Units

    If some unit of measure is to be converted to another unit of measure, does the process involve division or multiplication? Example: Convert 300 seconds to minutes. Which is more accurate? 1. 300 seconds divide by 60 seconds/one minute 2. 300 seconds multiplied by one minute /60 seconds...
  12. K

    Mills & Decimal Parts: Express 12.5 mills as a decimal part of $1.00

    Express 12.5 mills as a decimal part of $1.00. Is the correct answer $0.0125 or 0.0125 without the dollar sign? Here is how I convert mills to dollars: 12.5 mills * $0.001/mill. The answer would have a dollar sign since the mills units cancel, but the answer I have seen in the teacher's...
  13. K

    Unit Cancelation: Exec gets 1/4 of $100,000.00 as severance pay annually

    An executive receives a severance pay of one fourth of his annual salary of $100,000.00. for 10 years. How much would he receive annually? 0.25 * $100,000/year * 10 years = $250,000.00 Would it be incorrect to use the phrase "per year" since the years have cancelled from the above...
  14. K

    Monthly Pension: 1.1% * average 5 years highest salary * years of service

    A company uses the following calculation to determine the monthly payment for its employees as they retire: 1.1% * average 5 years highest salary * years of service If an employee worked 33 years and his average 5 year salary is $30,705.17, what is his monthly payment? I used the following...
  15. K

    Determine Cubic Feet Used: For one quarter, a home owner's water bill was $9.38.

    For one quarter, a home owner's water bill was $9.38. The water company charges $6.50 for the first 1,200 cubic feet or less, and $0.40 per hundred for the next 3,600 cubic feet. How many cubic feet of water did the home owner use during that period? Answer: 1,920 cubic feet Here is my...
  16. K

    Model Kit Scale: Does this (72 times smaller) make sense?

    I read the following for the explanation of scale: The scale of 1:72 means that the model is 72 times smaller than the actual object. Does this (72 times smaller) make sense? I think it should be the scale of 1:72 indicates that the size of the model is 1/72 the size of the actual object, or...
  17. K

    Multiplication

    2 * 1/4 is or equals 1/2 or 2 times 1/4 equals 1/2. Are the following correct to re-word or to express the same calculation? 1. 1/2 is two times larger than 1/4 2. 1/2 is two times the size of 1/4 3. 1/2 is twice the size of 1/4 I think that the following are incorrect or less accurate to...
  18. K

    Annual Compound Interest Calculation: "How would years 3 and 4 appear in the above?"

    Annual Compound Interest Calculation: "How would years 3 and 4 appear in the above?" According to the information on compound interest at the following URL: http://www.moneychimp.com/articles/finworks/fmfutval.htm "To find a formula for future value, We'll write P for your starting principal...
  19. K

    Tax Rate: Express a tax rate of 42 mills on $1.00 as a rate on $1000.00

    Does "on" as it is used below have the meaning of per? Express a tax rate of 42 mills on $1.00 as a rate on $1000.00 Would it indicate the following: ...42 mills per $1.00 and ... as a rate per $1000.00?
  20. K

    Typing Non-Solidus Fraction

    How are non-solidus fractions (fractions where the numerator and denominator are placed left and right of a slash mark) typed on this question-posting area? I have seen answers with fractions to questions expressed without using a slash mark.
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