Answer:
He sold 100 rackets for $ 20
Step-by-step explanation:
To start, we have to make 2 equations, one that represents the number of rackets and the other the money
x + y = 500
x * 20 + y * 45 = 20000
we clear x in the first equation
x + y = 500
x = 500 - y
we replace x in the second equation with (500 - y)
x * 20 + y * 45 = 20000
(500 - y) * 20 + y * 45 = 20000
10000 - 20y + 45y = 20000
-20y + 45y = 20000 - 10000
25y = 10000
y = 10000/25
y = 400
we replace x in the first equation with the value obtained
x = 500 - y
x = 500 - 400
x = 100
He sold 100 rackets for $ 20
Answer:the car was traveling at a speed of 80 ft/s when the brakes were first applied.
Step-by-step explanation:
The car braked with a constant deceleration of 16ft/s^2. This is a negative acceleration. Therefore,
a = - 16ft/s^2
While decelerating, the car produced skid marks measuring 200 feet before coming to a stop.
This means that it travelled a distance,
s = 200 feet
We want to determine how fast the car was traveling (in ft/s) when the brakes were first applied. This is the car's initial velocity, u.
Since the car came to a stop, its final velocity, v = 0
Applying Newton's equation of motion,
v^2 = u^2 + 2as
0 = u^2 - 2 × 16 × 200
u^2 = 6400
u = √6400
u = 80 ft/s
Answer:
h(0) = 6
Step-by-step explanation:
Plug x = 0 to find h(0)
h(0) = -10.0 + 6 = 6
It should be this y=1/2x+3
Answer:
<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>
Step-by-step explanation:
The Empirical Rule (68-95-99.7%)-
According to this around 95% of the data will fall within two standard deviations of the mean.
As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.
As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.
i.e 
We know that,
where,
X = raw score = 14,000
μ = 10,000
σ = 4,000
Putting the values,
Now, calculating the value from the z score table,
As the probability at 
is the area below that, so 84% of the wage earners earn less than $14,000 each.
