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k0ka [10]
3 years ago
9

My question is in the picture

Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

9514 1404 393

Answer:

  $1250

Step-by-step explanation:

The revenue from sales for 1000 units is given as $20,000, so the revenue per unit is $20. If we assume that rate remains the same, then the revenue from sales of 1250 units will be $20 × 1250 = $25,000.

The variable expenses for 1000 units are shown as $12,000, so are $12 per unit. If those go up by $1 per unit, the variable expenses for 1250 units will be $13 × 1250 = $16,250.

The contribution margin at these new rates will be ...

  $25,000 -16,250 = $8750

The increase in advertising will raise fixed expenses to $6000 +1500 = $7500. The difference from contribution margin is the operating income:

  operating income = $8750 -7500 = $1250

_____

<em>Alternate solution</em>

The contribution margin is given as $8000 for sales of 1000 units, or $8 per unit. If the variable cost increases by $1 per unit, this goes down to $7 per unit. Then the contribution margin from sale of 1250 units is $7 × 1250 = $8750, same as above. The rest of the the operating income calculation is the same.

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quester [9]

Answer:

Step-by-step explanation:

a1 = 6

a2 = 10

a3 = 14

The next member of the sequence is 4 more than the current sequence. Therefore d = 4

a1 = 6

d = 4

n = 13

an = a1 + (n - 1)*d

an = 6 + (n - 1)*4

a_13 = 6 + 12*4

a_13 = 6 + 48

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8 0
2 years ago
Graph the function.<br> y=-x-6 ifx&lt;-6<br> y = 2x + 12 if x&gt;-6
Naddik [55]

Answer:

  see attached

Step-by-step explanation:

For x < -6, the function has a slope of -1 and an x-intercept of -6.

For x > -6, the function has a slope of 2 and an x-intercept of -6.

The function given here is not defined at x=6, so there is a hole at (-6, 0).

7 0
3 years ago
50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
Tresset [83]

Answer:

<em>4a ) Difference ⇒ $ 63.24,</em>

<em>4b ) 4 children</em>

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,

y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

<em>Solution; Difference ⇒ $ 63.24</em>

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

<em>Solution; 4 children</em>

7 0
3 years ago
Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts early and is alread
BARSIC [14]

Answer:

The word per indicates the slope (m) of a linear function, y=mx +b.Using d for x and p for y , the equation representing Ashely's reading is p = 10d. Carly begins on page  40 which represents b, the y intercept of a linear function which indicates an initial amount.  So the equation representing Carly's reading is p=8d + 40.

3 0
3 years ago
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IgorC [24]
Multiply by the inverse of the coefficient of h.

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