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71 Cards in this Set
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- Back
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Of |
multiply |
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Three ways to use percentages |
Express a fraction Describe a Change Compare Performance & Cost |
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P% |
P/100 |
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Reference Value |
Used when Comparing Often follows the words than, from, or of Can be a total value, original value |
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Compared Value |
In the Absolute and Relative difference equations. First # |
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Absolute Difference |
Compared - Reference New - Old |
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Relative Difference |
Compared - Reference _______________________ Reference |
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Name that equation 28 pounds of recyclable trash in a barrel of 52 pounds of trash |
Described word equation % as a fraction 28 lb / 52 lb |
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Name the equation you used: The change of the sale price was decreased by $149,000 |
Described answer for Absolute Change or Absolute Difference New value - Reference value |
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Name that equation The sale price of a house in Feb. 2013 is about 50% less than Feb. 2008. |
Described answer for Relative Change or Relative Difference New Value - Reference Value ______________________________ Reference Value |
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Name that Equation Tacoma Narrows bridge is 1400 ft shorter than the golden gate bridge. |
Described answer for Absolute Change or Absolute Difference New value - Reference value |
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Identify Reference Value: The sale price of a house in Feb. 2013 is about 50% less than Feb. 2008. |
Reference Value Feb. 2008 |
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When a quantity doubles in value it's relative change is? |
100% |
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When a quantity triples in value, its relative change is? |
200% |
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When a quantity quadruples in value, its relative change is? |
300% |
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When a quantity is halved in value, its relative change is? |
-50% |
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If the new or compared value is P% MORE THAN the reference value, it is ____ of the reference value? |
(100 + P)% |
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If the new or compared value is P% LESS THAN the reference value, it is ____ of the reference value? |
(100 - P)% |
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Give an example of a Percentage Point |
3% to 4% is an increase of 1 percentage point (Absolute change) Will NOT have a % sign |
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Give an example of a % of percentages change |
Increase to 5% from 2% New Value - Reference Value ------------------------------------------ Reference Value 5% - 2% ---------- 2% |
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What is the reference value? Interest increased from 3% to 4%. |
3% is reference value because 4% is a new value & the word from is used before 3% (New Value - Reference Value) |
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a format in which a number is expressed as a number between 1 and 10 multiplies by the power of 10 |
Scientific Notation |
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Rewrite in Scientific notation 3,900,000,000,000. |
3.9 X 10 ^12 |
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Rewrite in Scientific notation 0.000 000 000 000 1 |
1 X 10 ^ -13 |
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An estimate that specifies only a broad range of values, usually within one or two powers of ten, such as "in the ten thousands." |
Defined Order of Magnitude |
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1,000 greater than or equal to the distance that is less than 10,000 |
10 ^ 3 order of magnitude |
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The digits in a number that represent actual measurments |
Defined Significant Digits |
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Name Significant Digits 345 |
ALL non zero digits are Significant Digits 345 All Significant |
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Name Significant Digits 68.010 |
Zeros to the right of decimal and after non zero 68.010 All Significant |
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Name Significant Digits 500,000,001 |
Zeros between non zero 500,000,001 All Significant |
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Name Significant Digits 500 |
Not Significant Digits are zeros to the left of decimal 5 is Significant in 500 |
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Name Significant Digits 0.000067 |
Not Significant Digits are zeros to the right of decimal before 1st non zero 67is Significant in 0.000067 |
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occurs because of a random and inherently unpredictable event in the measurement process |
Random Error |
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occurs when there is a problem in the measurement system that affects all measurements in the same way, such as making them all too low or too high by the same amount. |
Systematic Errors |
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What equation(s) do you uses to find the size of Errors |
Absolute and Relative Equations |
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describes how closely a measured value is to the true value |
Defined Accuracy |
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A way to find which measurment is more accurate |
Absolute difference: measurement - true |
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A way to find which measurement is more precise |
Don't change fractions into decimals. Decimals increase by placement (tenth or hundredth) where as fractions count up by adding identical fraction (1/4 counts to 1/2 then to 3/4 and then to 1) |
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Round the answer 16.5 +3.289 = 19.789 |
Addition / Subtraction: Round your answer to same precision as the least precise number 19.8 |
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Round the answer 3213/52 = 61.79 |
Multiplication / Division: Round your answer to the number with the least number of significant digits |
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Describes the amount of detail in a measurement. (How closely measurements are done) |
Define Precision |
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This occurs when unequally sized groups are combined for an overall result. The results shift better / worse, or positive / negative. "What is true for the part, isn't true for the all" |
Defined Simpson's paradox |
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How do you find your next total when 1% of the employees actually use drugs and the test is 85% accurate? |
User total = 0.01 X 2000 |
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How do you find your next total when when 1% of the employees actually use drugs and the test is 85% accurate? |
Lying User = 0.85 X 20 |
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How do you find your next total when when 1% of the employees actually use drugs and the test is 85% accurate? |
Truthful non-user = 0.85 X 1980 |
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When Budgeting, you need to prorate. Define Prorate |
make income and expenses in the same units |
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The balance upon which interest is paid Interest is paid only on your initial investment, not on interest added at later dates |
Defined simple interest |
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Interest paid both on original investment and earned interest. |
Compound interest |
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Name the formula A = P (1+rt) |
Simple interest |
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Name the formula |
Compound Interest |
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Write compound interest formula on a piece of paper |
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In formulas, P stands for |
starting principal |
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In formulas, A stands for |
accumulated balance after Y years |
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APR is |
Annual percentage rate |
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Monthly rate when APR is 24% |
APR ------ = rate 12 2% (rate) |
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quarterly rate when APR is 8% |
APR ------ = rate 4 2% (rate) |
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Name the Formula |
Continuous Compounding |
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Write on a piece of paper the continuous compounding formula |
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In the formulas, what is Y |
Number of years |
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APY |
Annual Percentage Yield, effective yield, yield actual % your balance increases in 1 year Equal to APR if interest is compounded annually APY uses the formula at which interest is added, always a 1 for Y |
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Name the formula |
Savings plan formula |
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Write the savings plan formula on a piece of paper |
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In formulas, n stands for |
n = compounding periods per year |
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Interest rates usually vary over time. What is the percentage change in the investment values over a time period? |
total return new value - starting principal ----------------------------------------- starting principal |
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Interest rates usually vary over time. What is the average annual rate at which your money grew over a time period? |
Annual rate |
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Write the Annual Rate formula on a piece of paper |
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The Total Return Formula |
is the relative difference formula |
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a loan that is paid off with regular payments |
Defined Installment Loan |
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Name the formula |
Installment Loan Formula |
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Write the installment loan formula on a piece of paper |
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Installment loan formula solves for |
Monthly Payment |
