Answer:
C(x) = 100 + 12x
L(x) = 275 + 10x
Step-by-step explanation:
Let x = no. of hours
C(x) = 100 + 12x
L(x) = 275 + 10x

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

Now that the fraction in the denominator is taken care of, we can reduce the denominator.
. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

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Define x:
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Let the tie be x
Tie = x
Shirt = x - 4.02
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Construct equation :
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The sum of the shirt and tie is $75.62
x + x -4.02 = 75.62
2x - 4.02 = 75.62
2x = 79.64
x = $39.82
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Find the cost of tie and shirt :
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Tie = x = $39.82
Shirt = x - $4.02 = $39.82 - $4.02 = $35.80
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Answer: The price of the short is $35.80
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Newton's Law of Cooling states that the change
of the temperature of an object is proportional to the difference between its
own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent
to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the
temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF