The value of TC(10) is 5300 Dollars
Given function is TC(Q) = 500Q +300 dollars
We need to calculate the value for TC (10)
As we know that the equation given is TC(Q) = 500Q + 300 dollars
Q is the number of TVs produced
Therefore, The value of Q is 10 for TC(10)
Substituting the value of Q
in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,
TC(10) = 500(10)+300 dollars
∴ TC (10) = 5000+300 dollars
∴ TC (10) = 5300 dollars
Hence the value of TC(10) is 5300 Dollars
Learn more about Substitution method here
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Step-by-step explanation:
There is a theorem that says that, two tangent lines onto a circle that start from the same point are equal. For example, if we were to label the polygon ABCD, the tangent lines going from point A are equal, the lines going from point B are equal, etc.
Since we now know this rule, we can see that, for each point of the polygon you are given 1 out of 2 tangent lines for that point. Using this theorem, we can say that the other tangent line is equal to the first.
So, the bottom two tangents are 98 and 98, the right-side are both 22 and 22, the top are both 27 and 27, and the left are 22 and 22. We need to find the perimeter, or the sum of all the sides of the polygon. Seeing as the sides of the polygon are formed by all the tangent lines, we just have to find the sum of all the tangent lines.
98 + 98 + 22 + 22 + 27 + 27 + 22 + 22 =
= 196 + 88 + 54 (or 2*98 + 4*22 + 2+27) =
= 338 inches
I hope this wasnt too confusing.
Answer:
the geometric series is a(n) = -12(3)^(n-1)
Step-by-step explanation:
"Triple" denotes multiplication by 3. Thus, the common factor here is 3.
The general formula for a geometric series is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common ratio.
Here, we have a(n)= (-12)(3)^(n-1) = -972.
We need to solve this for n, which represents the last term.
The first step towards solving for n is to divide both sides by -12:
3^(n-1) = 81
To solve for n-1, rewrite 81 as 3^4. Then we have:
3^(n-1) = 3^4, implying that (n-1) = 4 and that n = 5.
Then we know that it is the 5th term that equals -972.
In summary, the geometric series is a(n) = -12(3)^(n-1).
