Answer:
Step-by-step explanation:
The savings for each month is increasing by 20%. It means that it 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 terms(months) in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = $125
r = 1 + 20/100 = 1.2
From March to August, it is 5 months. Thus,
n = 5 months
Therefore, the sum of the first 8
5 terms(months), S5 is
S5 = (125 × 1.2^(5) - 1)/1.2 - 1
S5 = (125 × 1.48832)/0.2
S5 = 186.04/0.2
S5 = $930.2
They won't have enough money for the trip.
The additional amount of money that they need is
1370 - 930.2 = $439.8
Answer:
V = 15 in.³
Step-by-step explanation:
The original cylinder has radius r and height h.
V = πr²h
Its volume is 30 in.³, so
πr²h = 30 in.³
The new cylinder has radius (1/2)r and height 2h.
Its volume is
V = π(r/2)²(2h)
V = πr² × 2h/4
V = πr²h/2
πr²h is the volume of the original cylinder, and it is 30 in.³.
V = 30 in.³/2
V = 15 in.³
9pi trust me is the answer
Answer:
x = ± 10
Step-by-step explanation:
- 5x² = - 500 ( divide both sides by - 5 )
x² = 100 ( take square root of both sides )
x = ± 
= ± 10
That is x = - 10 or x = 10
