Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:


Year Annual Tutoring Fee
2005 $1200
2008 $1350


A. What is the rate of change and initial value for Neil’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.

Answer:

150

Step-by-step explanation:

Answer: 1.5 mm

Step-by-step explanation:

Answer: r=1.02

Step-by-step explanation:

(3 • 4.5/4•pi)1/2

Answer:

4.1 kilograms

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

= 7.6 kilograms - 3.5 kilograms

= 4.1 kilograms

Step-by-step explanation:

In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8

or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.

Answer:

It is a really idealistic way to estimate probability.

It usually works well for random events where there is no restriction like:

"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.

Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:

P = K*(1/N) = K/N"

Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)

P = 2/6

Now let's go to the case in the problem:

We know that out of the last 20 games, your team won 18.

Then yes, your team won (18/20)*100% = 90% of their played games.

Does this mean tath the probability of winning the next game is 90%?

Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%

Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?

Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.

Answer:

A). y = -3x - 2

Step-by-step explanation:

Since the line is going downwards from left to right, we know that it is a negative line.

Slope equals rise/run. If you take any two points, it goes down 3 and 1 right. You don't put 1 so it's simply just -3x.

The line crosses the y axis at -2.

Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

f(6)=33

Answer:

The total amount after 9 months is $441.

Step-by-step explanation:

5 ÷ 100 = 0.05

0.05 x $980 = $49

$49 x 9 = $441.

Answer:

x√3 = 5√ 3

x = 5√ 3 / √ 3

x= √ 3(5√ 3 / √ 3)

x= 15/3

b= 5

5x2 =10

a=10 and b=5

Answer:

135°, 135° and 90°

Step-by-step explanation:

It is given a triangle with a right angle (90°) and the other two angles have equal measures, so they are both (45°)

exterior angles are thus 180 - 45, 180 - 45, 180 - 90

which are 135°, 135° and 90°.

Answer:

when the imposter is sus

Answer:

72-12-12-12-12-12-12

Step-by-step explanation:

Since 12*6=72 is just 12 +12 6 times/ division is just the opposite

Answer:

z = 9

Step-by-step explanation:

7z = z + 54

7z - z = 54

6z = 54

z = 54 / 6

z = 9

Answer:

x = 25

Step-by-step explanation:

53 = 2x + 3

x = (53 - 3)/ 2

x = 25

Answer:

155.3

Step-by-step explanation: i got the same problem

Answer:

26

Step-by-step explanation:

You take the 65 plyers multiplied by the 40 % then you get 2600. You take that divided by 100 and get 26

Answer:

one solution

Step-by-step explanation:

here, we want to select the correct option

From the system, we have two values of y

Equating the y-values

3x + 2 = -2x - 1

What this mean is that there is only a particular point where this solution will work and as such, the system has one solution

Answer:

for # 1 the answer is B

for the second one i dont know

for the last one the answer is D

Step-by-step explanation:

This is impossible. The answer is 0.2. Tell your teacher about the impossible problem.

Answer:

x²-8x+9

Step-by-step explanation:

Answer:

The answer is Prime

Step-by-step explanation:

Attached photo for proof

Answer:

We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:

Answer:

$11,000

Step-by-step explanation:

8% × $25,000

$2,000

$2,000 × 7

$14,000

$25,000 - $14,000

$11,000

Answer:

c .  

Step-by-step explanation:

Answer:

sas maybe

Step-by-step explanation:

because a-c is a side marked by two lines, and it corresponeds

with b-c. c is the same angle. c-e is marked by one line and corresponds with c-d.

Answer:

B

Step-by-step explanation:

Because you devide the unit rate

I believe the answer is (3,4)

Answer:

1240000 (3 sig. fig.)

Step-by-step explanation:

1000000x(1.075)^3 ~= 1242296.875 = 1240000 (3 sig. fig.)

Answer:

58+61=119

180-119=61

61 degrees is the answer

Step-by-step explanation:

Step-by-step explanation:

Let the shared amount be 2x and 3x Then

2x + 3x = £ 250

5x = £ 250

x =£250/ 5

x = £ 50

Now

2x = 2 *£ 50 = £ 100

3x = 3 * £50 = £150

Hope it will help :)❤