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seraphim [82]
3 years ago
10

. Duke's photography pays $9 for a 5x7 photograph.

Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

the markup percentage is 66.67%

Step-by-step explanation:

The computation of the percent of markup based on cost is shown below:

= (Selling price - paid price) ÷ (paid price)

= ($15 - $9) ÷ ($9)

= 66.67%

By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup

Hence, the markup percentage is 66.67%

You might be interested in
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_3%7Bx%5E%7B2%7D-x%20%7D%20%5C%2C%20dx" id="TexFormula1" title="\int\limits
melisa1 [442]

Answer:

\frac{53}{6}

Step-by-step explanation:

\int\limits^4_3 {x^2-x} \, dx

= [ \frac{x^3}{3} - \frac{x^2}{2} ] ← evaluate for upper limit - lower limit

= ( \frac{64}{3} - \frac{16}{2} ) - ( \frac{27}{3} - \frac{9}{2} )

= \frac{64}{3} - 8 - 9 + \frac{9}{2}

= \frac{155}{6} - 17

= \frac{53}{6}

5 0
3 years ago
6. Which is a unit rate?
Taya2010 [7]

it's A

Step-by-step explanation:

describes 55 per unit/the hour

3 0
3 years ago
Calculate the percent error. Jerri estimated that 30 people would attend the
kipiarov [429]

Answer:she errored

Step-by-step explanation:

3 0
3 years ago
There are 325 seventh graders in 12 classes. Determine the unit rate
tekilochka [14]

Answer:27

Step27-by-step explanation:

4 0
3 years ago
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