It is a good idea to check to see if your answer is reasonable because a. if your answer is reasonable, you have probably done the problem correctly.
To determine the sum of the arithmetic series, simply remember that i is the pattern that you are going by which is 1,2,3.
The top value on the sigma sign tells you the final value that you must go to.
So use the equation to go from 1 to 18. So it would be 2(1) + 9 + 2(2) + 9 etc.
The first one is a square I’m like 99% sure
The <em><u>correct answer</u></em> is:
$54.75.
Explanation:
We only receive the discount if the majority of our usage occurs between 7 pm to 9 am. However, in the month of March we used 450 KWH between these hours and 465 KWH between 9 am to 7 pm; this means we lose our discount.
The rate per KWH is $0.05432; this means we pay
450(0.05432) = 24.444 for the hours of 7 pm to 9 am.
We also pay $0.05432/kwh for the hours of 9 am to 7 pm, but we have an additional 20% premium for the usage between these hours; this means we pay
465(0.05432)(1.2) = 30.31056, for a total of
24.444+30.31056 = 54.75456 ≈ 54.75
Answer:
Both angles B and C are equal to 40°
Step-by-step explanation:
The diagram tells you that the triangle is an isosceles triangle. From this we know that angles B and C will be equal to each other. To find what the angle measures are, we are going to set the two given expressions equal to each other, solve for x, and the plug x back in to get the two angle measures.

Now we are going to plug x back into each expression to solve for angles B and C.
Angle B
⇒ 
Angle C
⇒ 
Both angles B and C are equal to 40°