Sophia is a salesperson at a home improvement center. She is paid a monthly commission that is 7.5% of her first $1,000 in sales and

12% of the balance of her sales. Today she sold $1200. How much is her commission?

Answer:

C = 1.

Step-by-step explanation:

A: 4/5 x 3/3 (1) = 4/5, Incase you didn't know, 3/3 means 1 whole because it is full. We can tell by just looking that this doesn't represent a value greater than 4/5, In fact, it's equal to 4/5.

B: 4/5 x 1/2 = 2/5 <--- By not using any calculator or math, we already know that 4/5 is greater than 2/5 and that 2/5 is less than 4/5. This is not the correct answer because it's less than 4/5.

C: 4/5 x 5/4 = 1. This could be a correct answer choice because one is greater than 4/5. If your confused, think of it like this, 5/5 is equal to one and then there's 4/5. Then you compare and contrast and see that 5/5 is greater than 4/5 so this is a correct answer choice.

D: 4/5 x 4/5 is equal to 16/25. In my opinion, I wouldn't choose this answer choice because though the numbers are bigger than 4/5, 4/5 IS equal to 16/25, so it wouldn't really be a correct answer choice.

Hope this helped!

Solution :

a).

1. The domain of C(x)

   [tex]$x \in [0, \infty)$[/tex]

Range of c(x) is [tex]$[0, \infty)$[/tex]

Since the negative value do not make any sense.

2. C(x) =  Ax + b

  Intercept here denotes the fixed cost (that is when x = 0)

  The slope indicates the marginal cost (that is increase in cost per unit of quantity)

3. Revenue is maximum marginal revenue = 0

(that is when at the top of the parabola)

4. Profit = R(x) -C(x)

5. Range of P(x) is important so that we have the idea in mind about the maximum loss and the maximum profit for a particular quantity.

6 and 7 -- insufficient data.

Answer:

x = 3

Step-by-step explanation:

Add 1 on both sides.

We get:

-2x = -6

Now divide -6 by -2...

-6/-2 = 3

-2x -1 = -7

add the "-1" on both sides, -2x -1 +1 = -7 +1

-2x = -6

divide "-2" on both sides, -2x/-2 = -6/-2

x = 3

Step-by-step explanation:

[tex]x = 2[/tex]

[tex]y = - 2[/tex]

[tex]z = 4[/tex]

[tex] \: [/tex]

[tex] = 2xy + 3yz - xyz[/tex]

[tex] = y.(2x + 3z - xz)[/tex]

[tex] = y.(2x + z.(3 - x))[/tex]

[tex] = - 2.(2.2 + 4.(3 - 2))[/tex]

[tex] = - 2.(4 + 4.1)[/tex]

[tex] = - 2.(4 + 4)[/tex]

[tex] = - 2.8[/tex]

[tex] = - 16[/tex]

Answer:

C

Step-by-step explanation:

Answer:

The answer would be 8 people attended in the second meeting.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Answer: Derivative or y = mx + b

Step-by-step explanation:

Take the m value from the standard form equation:

y = mx + b

Or, the second way, is to take the derivative of the function and plug in your x value for your slope.

The derivative of a linear function is very easy to take, so it boils to preference

Answer:

Step-by-step explanation:

7/8-1/3=13/24

Answer:

13/24

Step-by-step explanation:

7/8 = 21/24

1/3 = 8/24

21/24 - 8/24 = 13/24

Answer:

f = 81.5

Step-by-step explanation:

hello!

to be able to find the score she needs to have a final grade of at least 80, we use the following equation:

[tex]\frac{72+90+75+2f}{5}=80[/tex]

To get rid of the denominator, we multiply both sides of the equation by 5. Once we do, 5 gets canceled and 80 * 5 = 400. Therefore:

237 + 2f = 400.

Transpose, then simplify.

2f = 400 - 237

2f = 163

Divide both sides by 2 to isolate f:

f = 81.5

Answer:

=2x5+3x4 plus brainliest please

Step-by-step explanation:

=(x4)(2x+3)

=(x4)(2x)+(x4)(3)

=2x5+3x4

Answer:

You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct

Step-by-step explanation:

4 x 2x = 8x

4 x 3 = 12

8x + 12

I still haven't reached that exercise, sorry

Answer:

8

Step-by-step explanation:

121 is 11^2, 100 is 10^2, 81 is 9^2, 49 is 7^2, and 36 is 6^2. 64 is missing in the pattern, and since each number is a perfect square, the number you'd need to square is 8.

Answer:

6. Not similar.

7. Not similar.

8. Not similar.

Step-by-step explanation:

6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.  

7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.

8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.

PS. It would mean the world to me if you could mark me brainliest!

Side note- I am not a professional, I just have done this a few months in the past! Best of luck!

Answer:

$67.49 and 1/4 of a cent

Step-by-step explanation:

25% of 89.99 = 224975

89.99-22.4975=67.4925

Answer:

25%=1/4  1/4 of 90= 22.5  90-22.5=67.5

Step-by-step explanation:

Answer:

200 miles

Step-by-step explanation:

63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96

Answer:

your the one

Step-by-step explanation:

ajhayajsjsusudhdhdhxdhfd

Solution :

Drug : Drug user

T : Test positive

a). [tex]P(D) =0.36[/tex]

    [tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]

    [tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]

b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]

               [tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]

               = 0.5904

c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]

                  [tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]

                 [tex]$=0.15625$[/tex]

Hi there!

[tex]81*20=4\frac{1}{20}[/tex]

Let see how much 20 goes into 80:

[tex]20,40,60,80[/tex]

That would be 4 time...

Subtract terms with terms:

[tex]81-80=1[/tex]

Remainder would be 1.

Convert term into fraction:

[tex]\frac{1}{20}[/tex]

Final Result:

[tex]4\frac{1}{20}[/tex]

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

Answer:

A polynomial is writen as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀

So we can only have positive integer exponents of x.

the coefficients "a" can be any real number.

Let's analyze the options:

1) Here we can see a term with "√x", remember that:

√x = (x)^(1/2)

This is not an integer exponent, then this is not a polynomial.

2) This is a polynomial.

3) Here we have the term "4/x"

This can be written as:

4/x = 4*x^(-1)

Then this is not a polynomial.

4) Here we have the term "5^x"

In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.

5) This is a polynomial.

6) Here we have the term " 2/x^2"

This can be written as:

2/x^2 = 2*x^(-2)

We have a negative exponent of x, then this is not a polynomial.

Answer:

45°

Step-by-step explanation:

divide 90 by 2 see there is a right angle between them

Answer:

x=-30

Step-by-step explanation:

25x+15-5x+5=-50

20x+10=-50

20x+10-10=-50-10

2x=-60

x=60/2

x=-30

Hope it helps!

(I tired hard:))

Answer:

Step-by-step explanation:

g=800(0.35)=280

a. 280/800=7/25

b. 520/800=13/20

Answer: 45 apples will be needed to fill 3 boxes

Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.

Answer:45 apples

Step-by-step explanation:

Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes

Answer:

it can't be simplified

Step-by-step explanation: