Answer:
Step-by-step explanation:
Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).
We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).
Now we can find the slope of the line passing through those two points using the slope formula
where
is the slope
are the coordinates of the first point
are the coordinates of the second point
Replacing values:
Now, to complete our model we are using the point slope formula
where
is the slope
are the coordinates of the first point
Replacing values:
We can conclude that the correct linear depreciation model is
Answer:
4.6
Step-by-step explanation:
16y=73
divide by 16 on both sides
y=4.6 %
Answer:
<u>50</u>
Step-by-step explanation:
<u>Changing into complex form:</u>
(6 + 8i) * (3 - 4i)
= 18 - 24i + 24i - 32 (i^2)
= 18 - 32(-1)
= 18 + 32
= <u>50</u>
Answer:
Step-by-step explanation:
Since the number of points per game for a certain basketball player is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = number of points per game
µ = mean
σ = standard deviation
From the information given,
µ = 14 points
σ = 2 points
The probability that in a randomly selected game, the player scored more than 8 points is expressed as
P(x > 8) = 1 - P(x ≤ 8
For x = 8,
z = (8 - 14)/2 = - 3
Looking at the normal distribution table, the probability corresponding to the z score is 0.00135
P(x > 8) = 1 - 0.00135 = 0.9987
Converting to percentage, it becomes
0.9987 × 100 = 99.87%
