Unit 1: Measurement
How do you convert an imperial measurement to a metric measurement?
Multiply
How do you find the hypotenuse length of a right angle triangle?
Pythagorean Theorem
OR
a2+b2=c2
Annually = __ time(s) per year
Semi-annually (every 6 months) = __ time(s) per year
Quarterly (every 3 months) = __ time(s) per year
Monthly = __ time(s) per year
Annually = 1 time(s) per year
Semi-annually (every 6 months) = 2 time(s) per year
Quarterly (every 3 months) = 4 time(s) per year
Monthly = 12 time(s) per year
What is 10% of 1040?
$104
What is 74?
2401
What is a composite figure?
A composite figure is made up of 2 or more regular shapes
When using this equation:
a2=b2+c2-2bc cosA
Which law are you using?
Cosine Law
What is the formula for finding simple interest?
I=Prt
OR
Interest earned = Principal/starting amount(interest rate as a decimal)(time in years)
Match: Gross pay & Net pay
____ total earnings before deductions
____ total earnings less all payroll deductions
Gross pay total earnings before deductions
Net pay total earnings less all payroll deductions
What is the zero exponent rule?
Anything to the exponent 0 equals 1
Convert 60kg to oz
60kg x 1000 = 60000g
60000 / 28 = 2142.9
The "c" side when labeling a triangle is called the _______ and is always the _______ side
The "c" side when labeling a triangle is called the hypotenuse and is always the longest side
TMV solver values:
N=?
I%=?
PV=?
PMT=?
FV=?
P/Y=?
C/Y=?
N= years x p/y
I%= interest in percentage
PV= present value
PMT= regular payments/ withdraw
FV= future value
P/Y= payments per year
C/Y= compounding per year
a) What is 15% of $350?
b) What is 20% of $1060?
c) What is 10% of $940?
a) 52.5
b) 212
c) 94
Which bias is in each scenario?
a) Participants in a study were asked "is hockey more exciting to play than baseball?"
b) To study the quality of pictures taken by a photography class, the principal interviewed 40 kids in the math classes
c) The heights of a person jumping was recorded after 5 jumps. The recorded heights were less than the the actual heights because the person recording the study did not hold the ruler properly
a) Measurement Bias
b) Sampling Bias
c) Measurement Bias
Solve for area of a circle with the radius of 6.5m
A= πr2
= 3.14(6.5)2
= 132,665m2
When given measurements of two sides and a NON-CONTAINED (opposite) angle, how would you solve for an unidentified angle?
a/sinA = b/sinB = c/sinC
Calculate the simple interest earned:
$2500 earning 3.7% per year for 7 years
I=(2500)(0.037)(7)
I= $647.50
Mackenzie has found a single person apartment that costs $690 with all the costs of utilities included, per month. A parking pass costs $39 per month. She will be required to sign a lease of 1 year if she rents the apartment.
a) What is the total cost of rent PLUS a parking pass per month?
b) How much will she pay over the term of the lease?
a) 690 + 39 = $729
b) 729 x 12 = $8748
Describe 5 qualities of an effective survey
- Anonymous
- Questions are clear
- Questions are not biased
- All possible answers are accounted for
- Provide purpose and instructions
If the total area of a grocery store is 18792m2 and one 19-L bucket of flooring sealant covers an approximate area of 2600 m2, how many buckets are required to do two coats of the store floor? Round up to the nearest bucket.
18792 / 2600 = 7.2 buckets
7.2 x 2 = 14.5 buckets
15 buckets will be needed
Solve using pythagorean theorem
Right angled triangle, hypotenuse of 17cm, and a side length of 8cm
c2= a2+b2
172= a2+82
289= a2+64
289-64
225=a2
√225=√a2
15cm=a
Identify the formula to solve for future value compound interest AND solve:
Jack invests $2500 in a closed-end fund that pays 4.5% per year, compounded monthly, for a period of 8 years. How much will the investment be worth after 8 years?
FV=PV(1+i)n
Solution:
FV=2500(1+0.00375)96
=$3580.91
Lizzie and Vincent live on a fixed income of $5650 per month. They own a three bedroom cottage with a weekly mortgage payments of $365.50. They make quarterly payments of $875 for property taxes. They have separate accounts for repairs and put $320 into this account each month. They receive bills for utilities, insurance, and other expenses which come out to a monthly total of $610.
a) Calculate the total annual expenses associated with the cottage.
b) What percent of their income is spent on housing expenses? (On average)
c) How much of their income is left over? (On average)
a) Mortgage= 365.50 x 52 = 19006
Property tax= 875 x 4 = 3500
Savings= 320 x 12 = 3840
Expenses= 610 x 12 = 7320
Total= $33,666
b) Income= 5650 x 12 = 67800
33666/67800 x 100 = 49.7%
c) 67800 - 33666 = $34134
Determine the percentile rank of 14
Scores: 5,8,9,11,11,11,13,14,16,17,18,19
L= 7, E= 1, n= 12
p= (7+0.5(1)) / 12 x 100
= 62.5
= 63rd percentile
Therefore 63% of scores are equal to or less than 14.