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son4ous [18]
2 years ago
14

Deep Blue, a deep sea fishing company, bought a boat for $250,000. After 9 years, Deep Blue plans to sell it for a scrap value o

f $95,000. Assume linear depreciation.
Mathematics
1 answer:
zhuklara [117]2 years ago
8 0

Answer:

Therefore, we use the  linear depreciation and we get is 17222.22 .

Step-by-step explanation:

From Exercise we have that  is boat  $250,000.

The straight line depreciation for a boat  would be calculated as follows:

Cost  boat is $250,000.  

For  $95,000 Deep Blue plans to sell it after 9 years.

We use the formula and we calculate :

(250000-95000)/9=155000/9=17222.22

Therefore, we use the  linear depreciation and we get is 17222.22 .

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A company produces and sells 211,600 boxes of t-shirts each year. Each production run has a fixed cost of $400 and an additional
Illusion [34]

Answer:x=46

Step-by-step explanation:

Given

Company Produces and sells 211600 boxes of T-shirt each year

Fixed cost =$ 400

Additional cost = $ 3 per box

storage cost =$ 2

let x be the no of production run

therefore

Holding cost per year =holding\ cost\times average\ holding\ items=2\times \frac{211600}{2x}=\frac{211600}{x}

Yearly\ ordering\ cost=cost\ during\ each\ order\times number\ of\ order\ Placed\ per\ year

yearly ordering cost=400x+3\times \frac{211600}{x}

Total cost C(x)=\frac{211600}{x}+400x+3\times \frac{211600}{x}

differentiate C(x) w.r.t to x we get

\frac{\mathrm{d} C(x)}{\mathrm{d} x}=400-\frac{3\times 211600}{x^2}-\frac{1}{211600}

Put \frac{\mathrm{d} C(x)}{\mathrm{d} x}=0 to get max/min value

400-\frac{211600}{x^2}-\frac{3\times 211600}{x^2}=0

x^2=\frac{211600}{100}

x=\sqrt{2116}

x=46

therefore 46 runs must be performed

5 0
2 years ago
Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3? 4 units to the
Mama L [17]
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8 0
2 years ago
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An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and an
Alika [10]
Check the picture below.

so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus

\bf P_s=P_t\implies 4s=3(s+2)\implies 4s=3s+6\implies s=6

6 0
2 years ago
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Holly had $5,000 in her bank account. She withdrew $800 to buy a new bike. What is the percent decrease in the balance of her ac
sweet [91]
The answer is really 16% becouse if you devide $5,000 by .16 you get $800
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2 years ago
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A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o
kap26 [50]

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

-3.5=\dfrac{(-9)+x}{2}

Multiply both sides by 2.

-7=-9+x

Add 9 on both sides.

-7+9=-9+x+9

2=x

Therefore, the other zero of the quadratic function is 2.

8 0
2 years ago
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