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nikklg [1K]
3 years ago
7

Starr buys Converse shoes from the manufacturer for $25.50 a pair, she sells them for $38.50, what percent is she marking them u

p?
Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer: Approximately 51%

Step-by-Step-Explanation:

<u>Given -</u>

  • Cost - $25.50
  • Selling for - $38.50

<u>We must find:</u>

  • The price Starr is marking up

<u>Profit</u> (<u>Numbers Given</u>)

<u>$38.50 - $25.50 = $13.00</u>

<u>Profit</u>, (<u>In percent)</u>

<u>13/25.50 × 100 ≈ 51%</u>

<u></u>

<u></u>

<u></u>

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ale4655 [162]

Answer:

The choice A) 5.9

Step-by-step explanation:

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2. Travis buys 2 quarts of milk at the store. What would be the equivalent or same as in
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4 pints

Step-by-step explanation:

There are 2 pints in a quart, and there are 2 quarts, so 2 x 2 is 4.

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3 years ago
What is 4.024 as a mixed fraction
Ainat [17]

Answer:

4 3/125

Step-by-step explanation:

You can ignore the 4 for now and find what .024 is as a fraction. (3/125)

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3 years ago
Find the value of x.<br> (x + 30)
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Answer:

x=55

Step-by-step explanation:

The exterior angles of a polygon add to 360.

x+x+x+x+x+x+30 = 360

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3 years ago
Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o
Orlov [11]

Answer:

25.35 grams of C  is formed in 14 minutes

after a long time , the limiting amount of C = 60g ,

A = 0 gram

and  B = 30 grams;           will remain.

Step-by-step explanation:

From the information given;

Let consider x(t) to represent the number of grams of compound C present at time (t)

It is  obvious that x(0) = 0 and x(5) = 10 g;

And for x gram of C;

\dfrac{2}{3}x   grams of A is used ;

also \dfrac{1}{3} x   grams of B is used

Similarly; The amounts of A and B remaining at time (t) are;

40 - \dfrac{2}{3}x   and 50 - \dfrac{1}{3}x

Therefore ; rate of formation of compound C can be said to be illustrated as ;

\dfrac{dx}{dt }\propto (40 - \dfrac{2}{3}x)(50-\dfrac{1}{3}x)

=k \dfrac{2}{3}( 60-x) \dfrac{1}{3}(150-x)

where;

k = proportionality constant.

= \dfrac{2}{9}k (60-x)(150-x)

By applying the  separation of variable;

\dfrac{1}{(60-x)(150-x)}dx= \dfrac{2}{9}k dt \\ \\ \\

Solving by applying partial fraction method; we have:

\{  \dfrac{1}{90(60-x)} - \dfrac{1}{90(150-x)} \}dx = \dfrac{2}{9}kdt

\dfrac{1}{90}(\dfrac{1}{x-150}-\dfrac{1}{x-60})dx =\dfrac{2}{9}kdt

Taking the integral of both sides ; we have:

\dfrac{1}{90}\int\limits(\dfrac{1}{x-150}- \dfrac{1}{x-60})dx= \dfrac{2}{9}\int\limits kdx

\dfrac{1}{90}(In(x-150)-In(x-60))  = \dfrac{2}{9}kt+C

\dfrac{1}{90}(In(\dfrac{x-150}{x-60})) = \dfrac{2}{9}kt+C

In( \dfrac{x-150}{x-60})= 20 kt + C_1  \ \ \ \ \ where  \ \ C_1 = 90 C

\dfrac{x-150}{x-60}= Pe ^{20 kt}  \ \ \ \ \ where  \ \ P= e^{C_1}

Applying the initial condition x(0) =0  to determine the value of P

Replace x= 0 and t =0 in the above equation.

\dfrac{0-150}{0-60}= Pe ^{0}

\dfrac{5}{2}=P

Thus;

\dfrac{x-150}{x-60}=Pe^{20kt} \\ \\  \\ \dfrac{x-150}{x-60}=\dfrac{5}{2}e^{20kt} \\ \\ \\ 2x -300 =5e^{20kt}(x-60)

2x - 300 = 5xe^{20kt} - 300 e^{20kt} \\ \\ 5xe^{20kt} -2x = 300 e^{20kt} -300 \\ \\ x(5e^{20kt} -2) = 300 e^{20kt} -300 \\ \\ x= \dfrac{300 e^{20kt}-300}{5e^{20kt}-2}

Thus;

x(t)= \dfrac{300 e^{20kt}-300}{5e^{20kt}-2}

Applying the initial condition for x(7) = 15 , to find the value of k

Replace t = 7 into x(t)= \dfrac{300 e^{20kt}-300}{5e^{20kt}-2}

x(7)= \dfrac{300 e^{20k(7)}-300}{5e^{20k(7)}-2}

15= \dfrac{300 e^{140k}-300}{5e^{140k}-2}

75e^{140k}-30 ={300 e^{140k}-300}

225e^{140k}=270

e^{140k}=\dfrac{270}{225}

e^{140k}=\dfrac{6}{5}

140  k = In (\dfrac{6}{5})

k = \dfrac{1}{140}In (\dfrac{6}{5})

k = 0.0013

Thus;

x(t)= \dfrac{300 e^{20kt}-300}{5e^{20kt}-2}

x(t)= \dfrac{300 e^{20(0.0013)t}-300}{5e^{20(0.0013)t}-2}

x(t)= \dfrac{300 e^{(0.026)t}-300}{5e^{(0.026)t}-2}

The amount of C formed in 14 minutes is ;

x(14)= \dfrac{300 e^{(0.026)14}-300}{5e^{(0.026)14}-2}

x(14) = 25.35 grams

Thus 25.35 grams of C  is formed in 14 minutes

NOW; The limiting amount of C after a long time is:

\lim_{t \to \infty} =  \lim_{t \to \infty} (\dfrac{300 e^{(0.026)t}-300}{5e^{(0.026)t}-2})

\lim_{t \to \infty} (\dfrac{300- 300 e^{(0.026)t}}{2-5e^{(0.026)t}})

As; \lim_{t \to \infty}  e^{-20kt} = 0

⇒ \dfrac{300}{5}

= 60 grams

Therefore  as t → \infty;   x = 60

and the amount of A that remain = 40 - \dfrac{2}{3}x

=40 - \dfrac{2}{3}(60)

= 40 -40

=0 grams

The amount of B that remains = 50 - \dfrac{1}{3}x

= 50 - \dfrac{1}{3}(60)

= 50 - 20

= 30 grams

Hence; after a long time ; the limiting amount of C = 60g , and 0 g of A , and 30 grams of B will remain.

I Hope That Helps You Alot!.

5 0
4 years ago
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