Answer:
Increment in property per year ;
Slope of a linear function
Kindly check explanation for the rest of the answers.
Step-by-step explanation:
The rate of change is the increment in property value per year ; $220
Thsi corresponds to the gradient or slope of a linear function
If 1980 = x and x = 0
Recall :
y = bx + c
Where, b = slope = 220
x = year
y = property threshold
c = intercept value
In 1980, x = 0
y - intercept.
Put x = 0 into the equation :
4190 = 220x + c
4190 = 220(0) + c
4190 = c
3.)
The linear function becomes :
y = 220x + 4190
Property threshold in 2010:
x = 2010 - 1980 = 30
y = 220(30) + 4190
y = 6600 + 4190
y = 10,790
Property threshold in 2010
Year it will exceed 15000
15000 = 220x + 4190
15000 - 4190 = 220x
10810 = 220x
x = 10810 / 220
x = 49.136
That is, property threshold will exceed 15000 after 50 years
1980 + 50 = 2030
Year 2030
Answer:
91
Step-by-step explanation:
P(1) = 0.25
P(3) = 2P(2) = 3P(4)
P(5) = P(4) + 0.1 = P(6) − 0.1
The probabilities add up to 1:
1 = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)
Write each probability in terms of P(4).
1 = 0.25 + 1.5P(4) + 3P(4) + P(4) + P(4) + 0.1 + P(4) + 0.2
1 = 0.55 + 7.5P(4)
0.45 = 7.5P(4)
P(4) = 0.06
Therefore, P(6) = P(4) + 0.2 = 0.26.
The expected value is the number of trials times the probability.
E = 350 × 0.26
E = 91
Answer:
(- 6, 6 )
Step-by-step explanation:
Assuming the centre of dilatation is the origin, then
The coordinates of the image points are 3 times the original points
B = (- 2, 2 ), then
B' = ( 3 × - 2, 3 × 2 ) = (- 6, 6 )
