Answer:
the 19th term of the arithmetic sequence is 73.
Step-by-step explanation:
Given:
The arithmetic sequence whose common difference is
And first term is

Find the 19th term of the arithmetic sequence

Now we know that,

Put all the value in above AP.




So,
term of the sequence is 73.
Answer:
x=12
a=48
b=82
c=50
Step-by-step explanation:
It is a parallelogram because the opposite sides, 100 and 80, add up to 180.
Answer:
5 chairs at each table and Yes there will be 4 chairs left over
Step-by-step explanation:
5*8= 40
44-40= 4
Sentence: 5 chairs will be placed at each table and there will be 4 chairs left over .
Answer:
16 years
Step-by-step explanation:
Given

Required
Year they made loss

Start by differentiating P w.r.t t
Using first principle:

Equate to 0, in order to solve for t

So, we have:

Solve using quadratic equation

Where
a = 3, b = -48 and c = 20
So, we have:




Split:
or 
or 
or 
Approximate to whole numbers
or 
<em>Hence, they made loss 16 years after they took over</em>