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1 year ago

8

Need help please its a missing assignment and i need to turn it in at midnight

1 answer:

dimaraw [331]1 year ago

8 0

C=pi*d

Where pi is 3.14 and d is the diameter, in this case is 14ft. Find the circumference

$\begin{gathered} C=\pi\cdot d \\ C=3.14\cdot14ft \\ C=43.96ft \end{gathered}$

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Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

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Required

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So:

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$\frac{dA}{dt} = kA$

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$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

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So, we have:

$A = Ce^{kt}$

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$1000000 = Ce^{0}$

$1000000 = C*1$

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

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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

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

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$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

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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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