A random sample of 100 college students is taken from the student body of a large university Assume that, in fact, a population
1 answer:
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Answer:
The fee was <u>$474</u>.
Step-by-step explanation:
Given:
A property had a list price of $164,000, an actual sale price of $158,000 and a $124,000 loan.
If the transfer fee was $3 per $1,000.
Now, to find the fee.
The list price of the property = $164,000.
The sale price of the property = $158,000.
And the amount of loan = $124,000.
<u><em>As, the transfer fee is based on the sale price of the property.</em></u>
The transfer fee was $3 per $1,000.
So, let transfer fee be for $158,000.
If, 3 is equivalent to
Then, is equivalent to 158,000.
Now, to get the fee by using cross multiplication method:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 1000 we get:</em>
<em>The transfer fee = $474.</em>
Therefore, the fee was $474.
Answer:
Step-by-step explanation:
Use Newton's Law of Cooling here:
where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:
which can simplify a bit to
and
Take the natural log of both sides:
Taking the natural log allows us to pull that exponent down out front:
and now we can divide both sides by ln(38) to get
-35k = .794585 so
k = -.023
Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:
and
and
and
T(t) = 35 F, basically the temp of the fridge, which is not surprising!