Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
Surface area decreases at a rate of 3 cm2/min
This means that 
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is 
when 
. So
The diameter decreases at a rate of 0.053 cm/min.
Answer:
Colin gets 
of the total money
Step-by-step explanation:
If we let the total amount be "90" (or any multiple of 9), then the solution gets much easy.
Let total money be 90.
Caroline gets 1/9, so that is:
1/9 * 90 = 10
Remaining is 90 - 10 = 80
This 80 is divided in the ratio 1:3, that means Colin gets 1 part and Sarah gets 3 part. That is 1 + 3 = 4 parts altogether.
80 divided in 4 parts is 80/4 = 20 each part.
Colin gets 1 part, that is 1 * 20 = 20
Colin gets 20 OUT OF 90 (total initial).
<em>What proportion is that? We simply divide and reduce!!</em>
<em />
20/90 = 2/9
Colin gets of the total money
The correct conclusion from the table shows <u>C. The more</u> he chooses to pay off each month, the less total interest he will pay.
<h3>How is interest determined?</h3>
The interest amount is calculated based on the outstanding balance.
When a cardholder makes more monthly payments, the interest amount reduces because of the reduction in the outstanding balance.
<h3>Data and Calculations: </h3>
Number of Months Monthly Payments Total Interest Paid
to Pay Off 21
$150
21 $314.68
$250
12 $184.41
$500
6 $95.84
Thus, the correct conclusion from the table shows <u>C. The more</u> he chooses to pay off each month, the less total interest he will pay.
Learn more about interest calculations at brainly.com/question/25545513
The answer is 4.
Hoped this helped
Answer:
16
Step-by-step explanation:
