Answer: the number of shoppers on the first day is 125
Step-by-step explanation:
The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1 + 20/100 = 1.2
n = 4(first 4 days)
S4 = 671
Therefore, the expression for the first 4 days is
671 = (a × 1.2^(4) - 1)/1.2 - 1
671 = (a × 1.2^(4) - 1)/0.2
671 = 1.0736a/0.2
671 = 5.368a
a = 671/5.368
a = 125
Answer:
Step-by-step explanation:
we have
solve for x
That means ----> isolate the variable x
Divide by k both sides
Adds 7 both sides
Rewrite
we can see that
upper part is cone
bottom part is cylinder
Volume of cone:
we are given
now, we can use volume formula
now, we can plug values
and we get
Volume of cylinder:
we are given
now, we can use volume formula
now, we can plug values
and we get
now, we can add both volumes
we get
..............Answer
Answer:
192 students are at the school
Step-by-step explanation:
120 / 5 = 24
24 x 3 = 72
72 + 120 = 192
The answer would be 4 and 2 over 3