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bulgar [2K]
3 years ago
14

Algebra 1

Mathematics
2 answers:
AveGali [126]3 years ago
6 0

Answer:

$416.60

Step-by-step explanation:

In this question the expression is given in the form of a regression line given: profit = 372.6 + 17.2×(advertising dollars)

We have to find the residual value for the advertising dollars spent

= $1,020 and profit  = $17,500

We will calculate the profit for advertising dollars = $1,020

Profit = 372.6 + 17.2×(1020)

= 372.6 + 17544

= $17,916.6

But the profit is $17,500 so the difference in amount will be residual value

Residual value = 17,916.6 - 17,500 = $416.60

The value of residual is $416.60.

yuradex [85]3 years ago
3 0
Given:
Profit = 372.6 + 17.2(advertising dollars)
advertising dollars = 1,020
profit = 17,500

Profit = 372.6 + 17.2(advertising dollars)

We'll just input the amount specified in the equation. 
17,500 = 372.6 + 17.2 (1020)
17,500 = 372.6 + 17,544
17,500 = 17,916.60

As you can see, the values do not equal. Its difference is the residual value.

<span>17,916.60 - 17,500 = 416.60 residual value</span>
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Answer right or brainliest
Westkost [7]
Area of triangle:
1/2 • b • h = 1/2 • 12 • 6 = 36

Area of square:
l • w = 12 • 12 = 144

144 ÷ 36 = 4 squares
3 0
3 years ago
A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material t
Nat2105 [25]

Answer:

Length of the rectangle = 9.58 feet and width = 27.14 foot

Step-by-step explanation:

Let the length of the rectangular area is = x feet

and the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 260

y = \frac{260}{x} -------(1)

Cost to fence the three sides = $3 per foot

Therefore cost to fence one length and two width of the rectangular area

= 3(x + 2y)

Similarly cost to fence the fourth side = $14 per foot

So, the cost of the remaining length = 14x

Total cost to fence = 3(x + 2y) + 14x

Cost (C) = 3(x + 2y) + 14x

C = 3x + 6y + 14x

  = 17x + 6y

From equation (1)

C = 17x+\frac{260\times 6}{x}

Now we take the derivative,

C' = 17 - \frac{1560}{x^{2} }

To minimize the cost of fencing,

C' = 0

17 - \frac{1560}{x^{2} } = 0

\frac{1560}{x^{2} } = 17

x^{2} =\frac{1560}{17}

x=\sqrt{\frac{1560}{17} }

x = 9.58 foot

and y = \frac{260}{9.58}

y = 27.14 foot

4 0
3 years ago
Plz help i need answer ASAP
Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3><u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>
  • The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

  • The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Intercepts</u><u>:</u></h3>

<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.

There are two types of intercepts:

  • x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
  • y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>

Each of their length is equal to their distance from the Origin(0, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation of a line (intercept form):</u></h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

\boxed{ \mathsf{ \frac{x}{a}  +  \frac{y}{b} = 1 }}

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>
  • x-intercept (a) = -1
  • y-intercept (b) = 2

\implies \mathsf{ \frac{x}{( - 1)} +  \frac{y}{2}  = 1 }

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

\implies \mathsf{  - \frac{x}{1} +  \frac{y}{2}  = 1 }

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

\implies \mathsf{  \frac{ - 2x + y}{ 2}   = 1 }

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

\implies \mathsf{  -  2x + y = 2 }

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<em>Isolating</em><em> </em><em>y</em><em>:</em>

<em>\implies \mathsf{  \underline{  y = 2 + 2x }}</em>

That's the equation of the given line!

6 0
3 years ago
George wants to buy a new bike, which costs $280. So far, he has earned $56. What percent of the total price has he already earn
Katarina [22]

Answer:

20%

Step-by-step explanation:

56÷280=0.2

0.2×100=20

<em>Formula: ÷ numerator by denominator. Then multiply what you got by 100.</em>

<em>Can I please have Brainliest?</em>

4 0
3 years ago
Factorise:<br> 3x3-3x2y+xy2-x2y
qaws [65]

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All terms have an x in them, so you factor that out first to get

x(3x^2 -4xy+y^2)

Now the 2nd degree equation will be of the form (3x- ... y)(x- ... y) and by just trying you find that the ... is just 1. So the factorization is:

x(3x - y)(x - y)

5 0
4 years ago
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