Answer:
$0.75 per song
Step-by-step explanation:
Given that the relationship between variable s and c is a proportional relationship, and is represented by the equation, c = 0.75s.
Where,
c = total costs
s = number of songs
The constant of proportionality, k, = 0.75.
Thus, 0.75 represents the cost per sing downloaded.
The answer is:
✔️$0.75 per song
<span>E[Y] = 0.4·1 + 0.3·2 + 0.2·3 + 0.1·4 = 2
E[1/Y] =0.4·1/1 + 0.3·1/2 + 0.2·1/3 + 0.1·1/4 = 0.4 + 0.15 + 0.0666 + 0.025?0.64
V[Y] =E[Y2]-E[Y]2= (0.4)·12+(0.3)·22+(0.2)·32+(0.1)·42-22= 0.4+1.2+1.8+1.6-4= 5-4 = 1</span>
Answer: Option (c) is correct. Rate of interest = 6% p.a.
Step-by-step explanation:
Given that,
principal amount = $2000(loan)
time period = 284 days
interest amount (SI) = $93.37
we have to calculate the rate of interest (i),
Simple interest(SI) = principal amount × rate of interest (i) × time period
93.37 = 2000 × i × 
i = 
i = 0.06
i = 6%
First you subtract the two equations
x^2-2x+3-6x
You simplify that and get
x^2+4x+3 = 0
Now we solve using the quadratic formula.
We get x = -1 and x = -3.
Now we find the y values by plugging the x values into the equation.
f(x) is the same as y.
y = (-1)^2 - 2(-1) + 3
y = 1+2+3
y = 6
Now for the other x value.
y = (-3)^2 - 2(-3) + 3
y = 9+9
y = 18
So the two ordered pairs are (-1,6) and (-3,18)
