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2 years ago

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A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling

price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?

1 answer:

ruslelena [56]2 years ago

7 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost price = $5 per T - shirt

Markup = 150% or cost price

Every month which shirt doesn't sell, selling price drops by 25%

Selling price of Tshirt = (150% * $5) = $7.5

Price after 1 month = (100% - 25%) * $7.5 = $5.625

Hence, the equation could be expressed as :

Price after one month:

(1.5 * $5) - 0.75 * (1.5 * $5)

7.5 - 0.75(7.5)

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Answer:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

$\hat p=\frac{21}{100}=0.21$ estimated proportion of overfilled bags

$p_o=0.15$ is the value that we want to test

z would represent the statistic

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We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:

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Alternative hypothesis: $p > 0.15$

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And replacing the info given we got:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

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2 years ago

Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian

777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

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Applying the law of sines

Find the measure of angle A

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substitute the given values

$\frac{4}{sin(A)}=\frac{2}{sin(30^o)}$

$sin(A)=1$

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Find the measure of angle C

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we know that

$B+C=90^o$ ----> by complementary angles

$B=30^o$

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Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}$

$c=2\sqrt{3}\ units$

therefore

The dimensions of the triangle are

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<em>Second case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

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using a calculator

$B=14.48^o$

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The sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

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therefore

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Find the length side c

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substitute the given values

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therefore

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$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

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Answer:

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Answer:

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over the course of numbering every page in a book, a mechanical stamp printed 2929 individual digits. How many pages does the bo

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