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Wittaler [7]
4 years ago
14

Caroline receives $80 for her birthday

Mathematics
1 answer:
ella [17]4 years ago
3 0
That alone of money I ant liying
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How many ways can you arrange 2 letters from the word S Q U A R E
leonid [27]

Answer:

30

Step-by-step explanation:

WE use permutation for this question:

since the letters in SQUARE are all distinct, so:

^{6}P_{2} = 6*5=30

8 0
3 years ago
Triangle ABC has vertices A (2, 4), B(0, -4),
natita [175]

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

5 0
3 years ago
Conceded goals: 0,1,2,3,4 Frequency:2,8,4,10,6 What is the mean number of goals conceded
SVEN [57.7K]

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

5 0
3 years ago
Mr. Sanchez’s class sold fruit pies for $1.32 each and Mr. Kelly’s class sold bottles of fruit juice for $1.77 each. Together, t
SSSSS [86.1K]

Answer:

a) k=48\\s=42

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:

\left \{ {{s+k=90} \atop {1.32s+1.77k=140.40}} \right.

You can solve it by the Elimination method:

- Multiply the first equation by -1.32.

- Add both equations.

- Solve for k.

Then:

\left \{ {{-1.32s-1.32k=-118.8} \atop {1.32s+1.77k=140.40}} \right.\\\\0.45k=21.6\\k=48

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

s+k=90\\s+48=90\\s=42

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

48\ pies*\$1.77=\$84.96

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

42\ pies*\$1.32=\$55.44

Then, the class that earned more money was: Mr. Kelly’s class.

c) Subtract both amounts of money:

\$84.96-\$55.44=\$29.52

7 0
3 years ago
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth
Yuki888 [10]

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:

A(t) = A(0)(1-r)^t

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 A(0) = 12500, r = 0.155

So

A(t) = A(0)(1-r)^t

A(t) = 12500(1-0.155)^t

A(t) = 12500(0.845)^t

How much will it be worth in 2020?

2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So

A(5) = 12500(0.845)^5 = 5385.10

The correct answer is given by option D.

7 0
3 years ago
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