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Alexxandr [17]
3 years ago
11

Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them t

o 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.
Mathematics
1 answer:
Contact [7]3 years ago
4 0
For A, you wanna look at $350 and $750 and find out how much her pay increased from 2010 to 2014.
For B, you want to create an equation (math problem) <span>to represent the fees that Sarah charges each year that would be reliant to your answer for part A. Hope this helps!
</span><span>
</span>
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Which formula represents this sequence 2,8,14...?
Vikentia [17]

Answer:

a_{n} = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

a_{n} = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

a_{n} = 6n - 4

5 0
3 years ago
Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.
Nimfa-mama [501]

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

\dfrac{x}{2}=67.3

This the equation for the given statement.

It can also be written as :

x=2\times 67.3\\\\x=134.6

Hence, this is the required solution.

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3 years ago
Answer ASAP, Will give brainliest
erastova [34]

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

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height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

\frac{(a+b)*h}{2}\\\\  = 120

\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120

x + 9 = 120/4

x + 9 = 30

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x = 21 m

AB = 21m

                             

7 0
3 years ago
If U = the set of odd natural numbers and B = {13, 15, 17, 19, 21, 23, . . .}, find B′.
Yuki888 [10]

Answer:

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Step-by-step explanation:

B' stands for the complement of B.

B' means set elements in the universe that aren't in B.

Here is the universe:

U={1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,...}

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And the elements we taking out:

B={13,15,17,19,21,23,...}

So we taking out the odd numbers from U that are odd and greater than or equal to 13. (The dots mean it continues with that pattern forever and ever.)

So B' is the set of natural odd numbers that are less than 13:

{1,3,5,7,9,11}

8 0
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torisob [31]

Answer:

\displaystyle A =\frac{B*H}{2}

Step-by-step explanation:

    To find the area of a triangle, we can use the formula of:

\displaystyle A =\frac{B*H}{2}

    This formula comes from the area of a rectangle, because a triangle is half a rectangle.

3 0
2 years ago
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