Answer:
30
Step-by-step explanation:
WE use permutation for this question:
since the letters in SQUARE are all distinct, so:

Answer:
k=6
Step-by-step explanation:
To find the scale factor of a triangle, all you have to do is divide the image from the post image
point A
12/2=6
24/4=6
The scale factor is 6
Answer:
2.333
Step-by-step explanation:
Given that:
Conceded goals: 0,1,2,3,4
Frequency:2,8,4,10,6
Mean(m) = Σ(fx) / Σf
Σfx = (0*2) + (1*8) + (2*4) + (3*10) + (4*6) = 70
Σf = (2 + 8 + 4 + 10 + 6) = 30
Hence,
Mean = 70 / 30
Mean = 2.333
Answer:
a) 
b) Mr. Kelly’s class.
c) $29.52
Step-by-step explanation:
a) Let's call:
s: the number of fruit pies sold by Mr. Sanchez’s class.
k:<em> </em>the number of fruit pies sold by Mr. Kelly’s class.
You can set up the following system of equations:

You can solve it by the Elimination method:
- Multiply the first equation by -1.32.
- Add both equations.
- Solve for k.
Then:

Susbtitute k into any of the original equations and solve for s:

b) The amount of money earned by Mr. Kelly’s class was:

The amount of money earned by Mr. Sanchez’s class was:

Then, the class that earned more money was: Mr. Kelly’s class.
c) Subtract both amounts of money:

Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:

In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that 
So



How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So

The correct answer is given by option D.