Financial Mathematics and Recursion
The amount saved if a 25% discount is offered on an item marked $24 is
$6
Euler's formula for a planar graph is
v-e+f=2
Consider the below matrix
F = [ 1 3 5 ]
Its order is
1 x 3
The tan ratio is equal to
Opposite / Adjacent
What type of survey data would the following question generate
'What is your favorite ice-cream flavour'
Categorical, Nominal
How much interest is earned if $3000 is invested for 18 months at 6.5% p.a.?
$292.50
A planar graph is
A graph with no edges crossing
| 7 4 | | 5 -2 |
| 6 2 | + | 1 5 | =
| 12 2 |
| 7 7 |
The cosine formula to find an unknown side is
c2=a2+b2-2*a*b*cos(C)
The mean of the following data is
1, 1, 3, 6, 9
4
The 20th term of this sequence is equal too
27, 19, 11, 3, ...
-133
The have the name number of edges and vertices, and corresponding vertices have the same degree and the edges connect the same vertices
Matrix A is a 2 x 4 matrix
Matrix B is a 4 x 1 matrix
What would the order of the matirx resulting from AB be?
2 x 1
Solve the following
cos 33 = x / 15
12.58
The median of this data set is
4, 9, 12, 15, 16, 18, 20
15
The 20th term of this sequence is equal to
0.5, 1, 2, 4, ...
262144
A planar connected graph has 4 vertices and 6 edges. How many faces does is have?
4
Find the inverse of
|1 2|
|3 4|
| -2 1 |
| 1.5 -0.5 |
Find unknown angle C in the below formula
Cos C = (132 + 122 - 82) / (2 * 13 * 12)
37.05 degrees
The IQR of this data set is
18, 23, 24, 28, 31, 33, 40
10
The terms of a sequence start at 1000 and each new term is 8% less than the previous term. Find the 15th term, correct to two decimal places
311.19
A connected graph has 8 vertices and 10 edges. It's spanning tree has how many edges?
7
Consider Matrix A, which is a 2 x 2 matrix
A * A-1 =
|1 0|
|0 1|
At what angle to the horizontal must a 4.5 metre ladder be placed against a wall if it must reach up to just below a window that is 4 metres above the level ground?
63 degrees
The standard deviation of this data is
2, 3, 5, 6, 9
2.7