Answer:
The correct answer is the linear model would be y = 500x - 390 where x is the number of swords sold in a month and y is the net monthly profit; B. 4.96 ≈ 5 swords monthly.
Step-by-step explanation:
Let x number of swords are sold per month.
Cost price of the swords per month is $ 195x.
Fixed cost to maintain the website per month is $390.
Total cost incurred per month is $ (195x + 390).
Selling price per katana is $695.
Total selling price of x swords per month is $695x.
Therefore, Net monthly profit y =695x - (195x + 390)
⇒ y = 695x - 195x - 390
⇒ y = 500x - 390
Thus the linear model would look like y = 500x - 390 where x is the number of swords sold in a month and y is the net monthly profit.
B. Now, given monthly profit y = $2090.
Thus the number of swords needed to be sold is
2090 = 500x - 390
⇒ 2480 = 500x
⇒ x = 4.96
A minimum of 5 swords need to be sold to get a monthly profit of more than $2090.
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The length of the altitude AD is 12 units.
<h3>How to find the height of a triangle?</h3>
The height of the triangle can be found as follows:
We have to find an angle using cosine law before we can find the height.
Therefore,
20² = 13² + 21² - 2 × 21 × 13 cos B
400 = 169 + 441 - 546 cos B
400 - 610 = - 546 cos B
-210 = - 546 cos B
cos B = -210 / -546
cos B = 0.38461538461
B = cos⁻¹ 0.38461538461
B = 67.3810899783
B = 67.38°
Hence,
sin 67.38° = opposite / hypotenuse
sin 67.38° = AD / 13
cross multiply
AD = 13 sin 67.38°
AD = 11.9999882145
AD = 12 units
learn more on triangle here: brainly.com/question/13387814
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Answer:yes
Step-by-step explanation: