Answer:
After 8 months of internet use both the connection will cost the same.
Step-by-step explanation:
Fast Internet charges $40 for installation and $52.45 per month.
So, the total cost after using x months of the internet in Fast Internet will be
C = 40 + 52.45x
Quick Internet has free installation but charges $57.45 per month.
So, the total cost after using x months of the internet in Quick Internet will be
C = 57.45x
Now, if those two cost are same then
40 + 52.45x = 57.45x
⇒ 5x = 40
⇒ x = 8
Therefore, after 8 months of internet use both the connection will cost the same. (Answer)
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
Answer:
20,820
Step-by-step explanation:
