Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Answer: 1. X+2
2. 6x-3
3. -2x-1
4. 9x5
Step-by-step explanation:
1. X+4-3+1 There is only one variable, so you don’t need to worry about that. Just do all of the numerical operations. 4-3+1= 2. So it would be x+2
2. X-5+5x+2. Again, do the numerical operations first. -5+2=-3. X+5x=6x. So it would be 6x-3.
3. 2x+7-4x-8. 7-8=-1. 2x-4x=-2x. So it would be -2x-1.
4. (4+3)x+2x-5. Do the operation in the parenthesis first. Then it would be (7)x or just 7x+2x-5. Simplify to 9x-5.
2 and the 4 needs to add subtract too much
Answer:
V = 54π cm³ ⇒ answer (C)
Step-by-step explanation:
∵ V = (πd²h)/8
∵ d = 6 cm
∵ h = 12 cm
∴ V = (π × 6² × 12) ÷ 8 = 54π cm³
Answer:
$25.80
Step-by-step explanation:
40% = 40/ 100 = 4/10 = 0,4
There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!
So you need to subtract the 40%, so (1 - 0.4 =) 0.6
The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).
The amount the item actually cost after the discount is $25.80
