The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
8 percent of 84000 is 6720 add 2500 equals 9220
Answer:
x = 7 and y = 17
Step-by-step explanation:
16x + 9x + 5 = 180 cuz they are supplementary
25x = 175
x = 7
We also know that 16x + 4y = 180
so 16(7) + 4y = 180, so 4y = 180 - 112, so 4y = 68. y = 17
hope this makes sense
200-50= 150
So you need to get 150 dollars in a month. If you get 20 dollars a week, then 150/20 will give you 7.5. So it will take you 7.5 weeks to get 150 dollars
The final price is the cost plus the tax.
Since we know the tax and a percent, we can write this as
T = C(1+r)
T = what Graham paid = $87.45
C = cost before tax
r = tax rate expressed as a decimal = .40
Plugging in what we know
87.45 = C (1+.4)
87.45 = C(1.4)
Divide both sides by 1.4
C = $62.46