Linear Relationships
What is the y intercept of the cost line and what does it represent?
y-intercept is 30. it represent fixed costs.
Explain why triangle OPQ is a right-angled triangle.
angle POQ = 148 -58
therefore = 90 degrees
what is the mean age?
33.5
Using Prims algorithm, beginning at the vertex A
C
Penny borrows $8400 for a holiday. She agrees to repay the loan over 4 years with equal monthly repayments of $225.40.
a) how much does penny repay in total? and how much is the interest.
total repaid. $10819.20
Total interest = $2419.20
What is the gradient of the cost line? and what does it represent?
30/15 = 2, the extra cost to produce each item.
find the length of PQ?
95m
What is the standard deviation to two decimal places?
7.74
Which vertex would be the connected after vertex would be connected after vertex C using Prim's algorithm?
B
Find the future value if an amount of %76000 is invested at 7.5% p.a. interest, compounded monthly for 3 years.
$9511
For what value of n does the income equal $72?
the income is $72 when 24 items are sold.
find the size angle SOP
92
Jo is 29. What is her z-score
=-0.58
Complete a spanning tree using Prim's algorithms. List the vertices in the order in which they are added.
A,C,B,E,G,D,F.
A machine was bought for $38 000 and is being depreciated by a declining balance method.
a) after one year the value of the machine has reduced to 34960.
b) how much did the machine depreciate in the tenth year?
3040/38000 x 100 = 8%
9th year =$17 942
10th year =$16 507
depreciated =$1435
How many times need to be sold to break even?
30, thirty items need to be sold
Find the area of SOP
1975
find the age of the person whose z-score is 2.
49
DG is the edge of least weight.
the annual dividend on certain shares is 24.7 cents per share and the current price is $3.80 per share what is
a) the total dividend paid on 1600 shares?
b) the dividend yield?
a)1600*0.247 =395.20
b)0.247/3.80 x 100=6.5%
How much profit is made if 45 items are sold? and at what price is the product sold?
45 items are sold to profit $15, the items are sold for $3.
Find the length of boundary SR to the nearest metre.
90m
Ho many people are older then the person whose z-score is 2. Is this what you would expect? justify your answer.
There are no people older then the person whose z-score is 2.
as we don't know whether the population is normally distributed we cannot make any judgement. Because the sample is only small. even if it was normally distributed it would be highly likely that there would be no one older then a person with z-score of 2.
Which edge would be chosen after DG using Kruskals algorithm?
Complete a spanning tree using Kruskal's algorithm, listing the edges in the order in which they are added.
DG,BE,AC,EG,AB,CF
Bailey wants to borrow $85000 and repay it over 15 years. One option he has is a fixed (reducible) interest loan with monthly repayments of $777.54.
a) how much will Bailey repay altogether is he takes the option.
b) Another option bailey is considering is a loan with a variable interest rate. Bailey has calculated that with current rates he will save 1717 with this loan. Give reason why bailey should not take this loan.
$773.54 x 12 x 15 = $139237.20
if the interest rise Bailey could pay a lot more.