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1 year ago

The cost, in dollars, of shipping x computers to

Mathematics

1 answer:

Masja [62]1 year ago

4 0

The least number of computers that must be shipped is 10.

<h3>What is the least number of computers that must be shipped?</h3>

In order to determine the least number of computers that must be shipped, the equation that represents the cost of shipping should be equal to the selling price of the computers.

3000 + 100x = 400x

In order to determine the value of x, take the following steps:

3000 = 400x - 100x

3000 = 300x

x = 3000 / 300

x = 10

To learn more about profit, please check: brainly.com/question/26181966

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Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4) use slope intercept form

Andrew [12]

Writing the slope-intercept form of a linear equation, we have:

$y=mx+b$

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Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

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10 months ago

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Cerrena [4.2K]

Answer:

Step-by-step explanation:

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Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.

Artyom0805 [142]

A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

B) Find general solution by separating variables and integrating $\int\frac{dT}{T-52} = \alpha \int dt \\ ln (T-52) = \alpha t + C \\ T = C e^{\alpha t} +52$ :

C) Initial condition is t=0, T = 87
$87 = C +52 \\ C = 35$

D) Total time elapsed is 10 minutes, new temperature is 84
$84 = 35 e^{10\alpha} +52$
solve for alpha
$e^{10\alpha} =\frac{32}{35} \\ \alpha = \frac{ln(32/35)}{10} \\ \alpha = -.00896$

E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
solving for t
$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
Plug in T = 98.6
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This is approximately 32 minutes before he arrived or about 1:20 AM

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