Answer: 31 is a prime number because only 1 times itself equals 31. no other two factors equal 31 as a product.
Step-by-step explanation:
Answer:
Slope is -2
Step-by-step explanation:
( -3, 7) and ( -2, 5)
Slope:
m=(y2-y1)/(x2-x1)
m=(5-7)/(-2+3)
m = (-2)/1
m = -2
Answer:
-4,-3,0,2
Step-by-step explanation:
The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician and computer pioneer Babbage,[2][3] with the assistance of Ada Lovelace. It was first described in 1837 as the successor to Babbage's difference engine, which was a design for a simpler mechanical computer.
Answer:
First term = a = 125
Step-by-step explanation:
Question: find the number of shoppers on the first day
This is a geometric progression question
The sum of the terms = 671
Sum of a geometric sequence,Sn = (ar^n - 1) / (r - 1)
Where,
n = number of term in the sequence.
a = first term in the sequence.
r = common ratio
r = 1 + 20%
= 1 + 20/100
= 1 + 0.2
= 1.2
n = 4 (first 4 days)
Sn = (ar^n - 1) / (r - 1)
Sn = 671 where n = 4
671 = {a × 1.2^(4) - 1} / 1.2 - 1
671 = {a × 2.0736 - 1} / 0.2
671 = (2.0736a - a) / 0.2
671 = 1.0736a / 0.2
671 = 5.368a
Divide both sides by 5.368
a = 671 / 5.368
a = 125
