Answer:
After 2.80 years the price drops to 300 $
Step-by-step explanation:
Ryan bought a new computer for $2,100.
Price of computer = 2100 $
The value of the computer decreases by 50% each year.
Let p(n) be the price of computer after n years.

Now we need to find n when price is 300 $.
0.50ⁿ x 2100 = 300
0.50ⁿ = 0.143
n log (0.5) = log 0.143
n x -0.301 = -0.845
n = 2.80
After 2.80 years the price drops to 300 $
Answer:
1 / 3
Step-by-step explanation:
Bag 1 :
Yellow = 3
Green = 2
Red = 1
Total = 3 + 2 +1 = 6
Bag 2 :
Yellow = 3
Green = 3
Red = 3
Total = 3 + 3 + 3 = 9
P(not yellow from bag 1) = (green + red) / total = 3 /6 = 1/2
P(not yellow from bag 2) = (green + red) / total = 6/9 = 2 /3
P(neither is yellow) = 1/2 * 2/3 = 2 / 6 = 1/3
Answer:
Probability (Roulette ball not landing on red) = 10 / 19
Step-by-step explanation:
Given:
Number of total slots = 38
Number of red slots = 18
Number of black slots = 18
Number of green slots = 2
Find:
Probability (Roulette ball not landing on red)
Computation:
Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)
Probability (Roulette ball not landing on red) = 1 - (18 / 38)
Probability (Roulette ball not landing on red) = 20 / 38
Probability (Roulette ball not landing on red) = 10 / 19
Answer:
11. always
12. always
13. always
14. never
15. never
16. always
17. always
18. sometimes
19. sometimes
20. never
Step-by-step explanation:
11. A line can be defined by at least two points
12. A plane can be defined by at least three points
13. If two planes intersect, then they form a line at the intersection.
14. If two lines intersect, then they form a point at the intersection (not a segment).
15. A line does not have any endpoints (infinite in both ways).
16. If two planes are not parallel they will always intersect.
17. If two lines are not parallel they will always intersect.
18. Two points are sometimes collinear. It depends on where they are.
19. Two points are sometimes coplanar. It depends on where they are.
20. Ray MN and NM are not the same ray because the end points are different.