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Triss [41]
3 years ago
5

Chris wants to order blu-rays over the internet. Each Blu-ray cost $29.99 and shipping for

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

4 blu-rays

Step-by-step explanation:

*Note: I'm rounding up to full dollars to make this easier. You will get the same answer, whether you round up or not.

First, get rid of the shipping cost from the budget.

$150 - $10 = <u>$140 left for blu-rays</u>

Then divide $140 by $30, which is the price for a single blu-ray to get the number of blu-rays Chris can get.

$140 ÷ $30 ≈ 4.6 repeating. You can't have a fraction of a movie, so Chris can get 4 blu-rays

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Answer:

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Step-by-step explanation:

Given

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Required

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To do this, we make use of the following notations

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So:

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Where k represents the constant of proportionality

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Multiply both sides by dt/A

\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}

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Integrate both sides

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ln\ A = kt + lnC

Make A, the subject

A = Ce^{kt}

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A = Ce^{kt}

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Substitute C =1000000 in A = Ce^{kt}

A = 1000000e^{kt}

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Take natural logarithm (ln) of both sides

ln(0.5) = ln(e^{k*6})

ln(0.5) = k*6

Solve for k

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k = \frac{-0.693}{6}

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\frac{dA}{dt} = kA

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The rate is:

\frac{dA}{dt} = -0.1155 * 600000

\frac{dA}{dt} = -69300

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

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