Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:


Year Annual Dog-walking Fee
2010 $350
2014 $750


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

Answers

Answer 1

Answer:

Step-by-step explanation:

A. The Initial value is the starting value of her business which can be considered $350 since that is what she made the first year. The Slope can be calculated by subtracting the end profit from the initial profit and then dividing by the result of subtracting the end year by the initial year like so...

$350 initial value

[tex]\frac{750 - 350}{2014 - 2010} = \frac{400}{4} = \frac{100}{1 year} =[/tex]  $100 a year increase

B. The equation for this scenario would be  y = 100x + 350

Answer 2

Answer:

100 each year and y=100x+350

Step-by-step explanation:


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PLEASE HELPPPP ITS DUE IN 20 MINNNN

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Answer: 2cm is the radius and 10 cm is the diameter.

Answer:

2 is the radius and 10 is the diameter!

Step-by-step explanation:

Good luck buddy!

Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. which quadratic function represents the combined area A of the picture and the frame?

A. A(x)=x^2+20x+96
B. A(x)=x^2+40x+96
C. A(x)=4x^2+20x+96
D. A(x)=4x^2+40x+96

Answers

Answer:

Step-by-step explanation:

Total dimensions = (12+2x) inches by (8+2x) inches

A = (12+2x)(8+2x) = 4x² + 40x + 96

A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?

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it would be an acute

Graph the line with the equation y = -x + 7.

Answers

Put the first point at (0,7) then move left by 5 and up by 1, then one going right 5 and down 1 from the y intercept.

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Luke kicked a soccer ball into the air. The height, f(x), of the ball, in meters, after x seconds was modeled with the function f(x)=-4.5x^2+27x. How many seconds did it take for the soccer ball to hit the ground?

A. 40.5 seconds
B. 3 seconds
C. 6 seconds
D. 2.5 seconds

Answers

Answer:

i think this is the answer

A. 40.5 secods

How many decks have fewer than 1 joker?

Answers

Answer:

32

Step-by-step explanation:

if sin theta = -3/5 and theta terminates in the fourth quadrant, find the exact value of tan 2θ

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Answer:

67=9

Step-by-step explanation:

Answer:

-24/7

Step-by-step explanation:

EDGE 2021

Devin reads 2 pages of a book every 3 minutes. Which proportion could be solved to find x, the number of minutes it will take to read 6 pages?

Answers

Answer: The answer would be 2/3 = x/9

It would take 9 minutes to read 6 pages as per the proportional relationship.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let y be the number of pages, and x be the time,
According to the quesiton,
x/y = 3 / 2

Now,
Put y = 6
x/6 = 3/2
x = 9 minutes

Thus, it would take 9 minutes to read 6 pages as per the proportional relationship.

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What number represents 50 meters below sea level

Answers

-50 meters would be the answer.

on Iready Question 7 angle sum properties Level H what is the answer

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Answer:

Step-by-step explanation:75

PLS I NEED HELP QUICKLY

Answers

b + b + h+ h, then b^2+h^2

Answer:

b + b + h + h and since you have two of each you can say 2b + 2h.

is it A, B,C, or D? i need help asap

Answers

Answer:

C

Step-by-step explanation:

If x=0 is 2010, you can infer that x=6 would be 2016.

From there, you just have to find the correlating y-value (38).

Jason paid a $100 start-up fee for his
telephone. He also pays a monthly
service charge, X. Jason paid a total of
$340 in the first 6 months. Which of the
equations below can be used to find the
monthly service charge?
A 340 = 6 + 100x
B 340 = 100+ 6x
C 340 = 100 - 6x

Answers

Answer:

b

Step-by-step explanation:

) tan C
с
45
36
to
27
А

Answers

Answer:

36. 1193 or 33.12 degrees rounded

Step-by-step explanation:

Tan = opp/adj

Tan C = 27/37

Tan inverse (.729 . . .) = C

= 36. 1193 or 33.12 degrees rounded

A triangle has sides with lengths of 7 miles, 7 miles, and 9 miles. Is it a right triangle yes or no

Answers

Answer:

No

Step-by-step explanation:

Question 2 (25 points)
Solve for the missing hypotenuse. Round your answers to the nearest tenth. Figures are not drawn to scale.

Help me ASAP!!!!!!!! Plzzzz

Answers

Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

X=212.4

Jason opens a savings account with $50. Each week
after, he deposits $25. In how many weeks will he have
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Note: Deposit means he adds money into his account.
Find the number.

Answers

Answer:

16 weeks

Step-by-step explanation:

16 is the answer ok! Bye

Please can someone answer this question, I never understand these and would like to know how to do them... QUESTION ATTACHED

Answers

Answer:

sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)

45 = 9 *5 "9" is a perfect square so

sqrt (45) = 3 * sqrt (5) * sqrt (2)

sqrt (2) * sqrt (80)

80 = 16 * 5  "16" is a perfect square so

sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)

Adding both answers we get

3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)

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4 * sqrt (10)

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7 * sqrt (10)

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Step-by-step explanation:

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Answers

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

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Answers

Answer:

equilateral

isosceles

scalene

The triangles with equal sides from least to greatest

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What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The reason for this order is that an equilateral triangle has all three sides equal in length, while an isosceles triangle has two sides equal in length and one side different.

A scalene triangle has all three sides of different lengths.

Since all three sides of an equilateral triangle are equal, it has the smallest perimeter of the three types of triangles.

The isosceles triangle has two sides equal, so its perimeter will be greater than that of an equilateral triangle, but less than that of a scalene triangle.

Finally, the scalene triangle has three sides of different lengths, so it will have the largest perimeter of the three types of triangles.

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Equilateral, Isosceles, Scalene.

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The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m

Answers

Answer:

12 deg

Step-by-step explanation:

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0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

Ms. Morales showed her geometry students the figure below and told them that DE || BC. She asked them to use this information to prove that DE divides AB and AC proportionally.

Answers

Answer: B

Step-by-step explanation:


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Find the value of x.


Answers

Answer:

x = 7

Step-by-step explanation:

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Answer:

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every month. After how many months
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Answers

Answer:

the gym that has 150, will take 2 months and the gym that has 50 will take 6 months

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150

300

second gym:

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100

150

200

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John is buying a new computer for $550.00. He has a coupon to receive 15% off. How much, in dollars, is his discount?

Answers

Answer:

$82.50 is the discount.

Step-by-step explanation:

550 x .15 = $82.50

Hope that helps!

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Answers

Find the length of an arc that subtends a central angle of 172 in a circle of radius 7 in.
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QUESTION IN THE PICTURE

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Step-by-step explanation:

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Answers

Answer:

(0, -2)

Step-by-step explanation:

Since line is intersecting y axis at point (0, - 2)

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