Answer:
Line f has the same slope, -4/3
Step-by-step explanation:
First find the the slope of line e
m = (y2-y1)/(x2-x1)
= (2-6)/(10-7)
= -4/3
Since the lines are parallel, they have the same slope
Line f has the same slope, -4/3
Answer:
£90
Step-by-step explanation:
Let M = Malachy's share
and P = Paul's share
and B = Brian's share.
We have three conditions:
(1) M = 2P
(2) P = 3B
(3) M + P + B = 150
Solve for B:
Substitute (2) into (3) (4) M + 3B + B = 150
(5) M + 4B = 150
Substitute (2) into (1) M = 2(3B)
(6) M = 6B
Substitute (6) into (5) 6B + 3B + B = 1 50
(7) B = 15
Solve for P:
Substitute (7) into (2) P = 3×15
(8) P = 45
Solve for M:
Substitute (8) into (1) M = 2×45
M = 90
Malachy gets £90.
It has four intersecting line segments lol
Answer:
Step-by-step explanation:
The population P of a certain city can be modeled by
P=19000e0.0215t
where T represent the number of years since 2000.
When t=1 the year is 2001
when t =2 the year is 2002. This means that
When t=0 the year is 2000
To determine the year when the population will be 40,000 , we will substitute P = 40,000 and solve for t. It becomes
40000 = 19000e^0.0215t
40000 / 19000 = e^0.0215t
2.105 = e^0.0215t
Take ln of both sides
0.7443 = 0.0215t
t = 0.7443/0.0215
t = 34.62
Approximately 35 years
So the year will be 2035
