Answer:
117.88
Step-by-step explanation:
51.48*1.15=59.202
51.48+59.202=110.682
110.682*.065=7.19433
110.682+7.19433=117.87633
Rounded: $117.88
36; 12*3 is 36 and 9* 4 is 36 hope i helped :)
<u>Given</u>:
The arithmetic sequence is represented in the table.
The general form of the arithmetic sequence is given by

We need to determine the value of the missing term.
<u>First term:</u>
From the table, we need to determine the first term of the arithmetic sequence.
From the table, the value of the first term is 3.
Thus, 
Hence, the first term is 3.
<u>Common difference:</u>
From the table, we can determine the common difference of the arithmetic sequence.
Thus, we have;
12 - 3 = 9
Hence, the common difference is 
<u>Value of the missing term:</u>
The value of the term 45 can be determined by substituting n = 45 in the general form 
Thus, we have;




Hence, the value of the term 45 is 399.
Thus, the value of the missing term is 399.
They are tangent to eachother as they intersect at one place and one place only.
From 14 to 24 is 10; from 24 to 34 is 10, and so on, so the common difference is 10.
f(1) = 14
f(2) = 24 = 14 + (2-1)(10) = 14 + (n-1)(10)
So f(n) = 14 + (n-1)(10)
Check: Does f(4) come out to 44, as we expected?
Does 14 + (4-1)(10) = 44? Yes.