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tankabanditka [31]
3 years ago
8

a six-foot-tall tent standing next to a cardboard box cast a nine foot Shadow if the cardboard box cast a shadow that is 6 foot

long and how tall is it
Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0
I think it's 3 foot long but I'm not sure...
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6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
2 years ago
If three slugs have six eye-stalks, then two will have __ eye-stalks
blondinia [14]

Answer:

two

Step-by-step explanation:

3 0
2 years ago
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245 500 1,010 2,030<br> The sequence above can be expressed
erma4kov [3.2K]

Answer:

12

Step by Step Explanation:

f(n+1) = 2f(n) + 10

a = 2, k = 10

a + k = 2 + 10 = 12

7 0
3 years ago
Read 2 more answers
How are two figures congruent?
Sedbober [7]

When angles and sides are all equal

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3 years ago
Write the next three terms of the arithmetic sequence.<br> First term: 2<br> Common difference: 13
IRINA_888 [86]
15, 28, 41.

add the common difference to each consecutive term to find the next term in the sequence.

2+ 13= 15
15+ 13= 28
28+ 13= 41
4 0
3 years ago
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