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Novay_Z [31]
3 years ago
11

The latest demand equation for your Yoda vs. Alien T-shirts is given by: q = −40x + 800 where q is the number of shirts you can

sell in one week if you charge $x per shirt. The Student Council charges you $400 per week for use of their facilities, and the T-shirts cost you $4 each. Find the weekly cost as a function of the unit price x. ...?
Mathematics
1 answer:
baherus [9]3 years ago
5 0
Cost function=fixed cost + variable cost =400+(something)
okay let's think we can only sell q shirts per week and each shirt cost us 4 dollars so i think the Cost function =400+4q =400+4(-40x+800) =400-160x+3200 =-160x+3600
but i'm not sure of the this terminology
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3 inches is what fraction of a foot
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diamong [38]

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

1.

(x + 2 =  \sqrt{3x + 10}

Square both sides

(x + 2) {}^{2}  = 3x + 10

Remeber perfect square Rule

(x + y) {}^{2}  =  {x}^{2}  + 2xy +  {y}^{2}

So now we got

x {}^{2}  + 4x + 4 = 3x + 10

{x}^{2}  + x + 4 = 10

{x}^{2}  + x - 6 = 0

Factor into binomial.

(x + 3)(x - 2) = 0

So our solution is 3 or 2. However, let's check our work.

- 3 + 2 =  \sqrt{3( - 3) + 10}

- 1 =  \sqrt{1}

However square root of 1 is 1. It could be 1 but in Math, <em>We</em><em> </em><em>only</em><em> </em><em>take</em><em> </em><em>the</em><em> </em><em>principal</em><em> </em><em>square</em><em> </em><em>root</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em> </em><em>positive</em><em> </em><em>always</em><em>.</em><em> </em><em>So</em><em> </em><em>-3</em><em> </em><em>isn't</em><em> </em><em>a</em><em> </em><em>solution</em><em>.</em>

<em>So</em><em> </em><em>let</em><em> </em><em>try</em><em> </em><em>2</em><em>.</em>

<em>2 + 2 =  \sqrt{3(2) + 10}  = 4 =  \sqrt{16}  = 4 = 4</em>

<em>So</em><em> </em><em>this</em><em> </em><em>is</em><em> </em><em>indeed</em><em> </em><em>the</em><em> </em><em>solution</em><em>.</em>

<em>Make</em><em> </em><em>up</em><em> </em><em>equation</em><em> </em><em>for</em><em> </em><em>2</em><em> </em><em>and</em><em> </em><em>3</em><em>.</em><em> </em><em>Ask</em><em> </em><em>me</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>need</em><em> </em><em>help</em><em>.</em>

5 0
2 years ago
The Management of a private investment club has a fund of $200,000 earmarked for investment in stocks. To arrive at an acceptabl
miv72 [106K]

Answer:

In order to obtain a return of 9% per year, we need to invest $133,333.333 in low risk investments, $0 in mid risk investment and $66,666.666 in high risk investment.

Step-by-step explanation:

2/3 of the $200,000 for investment should go to low risk, and the other third to mid risk and high risk. Lets call X the amount that goes into high risk, then the amount that goes to mid risk is 200,000/3 - X.

If we want a 9% of return for the total investment, then we should end with $200,000 * 1.09 = $218,000. We can compute what money we expect to end the year with in terms of X and then obtain the value of X.

We end the year with

200,000 * 1.06 * 2/3 + (200,000/3 - X) * 1.09 + X * 1.15 = 214000 + X * (1.15 - 1.09) = 214000 + X * 0.06

Since we want this amount to be equal to 218000, then

214000+X * 0.06 = 218000

X*0.06 = 218000-214000 = 4000

X = 4000/0.06 = 66,666.666 = 200,000/3

Thus, we are not investing in the mid risk category.

In order to obtain a return of 9% per year, we need to invest $200,000/3 = $133,333.333 in low risk investments, $0 in mid risk investment and $66,666.666 in high risk investment.

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A hot air ballon ascended at the rate of 400 dreams per hot for 3 hours and 15 min. What was the total distance that the ballon
alexandr1967 [171]
If it is 400 m/s then it's the answer

v= s/t
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s= 400 × 11700
s= 4,680,000 m/s ^2

11,700×400=4,680,000
4 0
3 years ago
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