Answer:
Option D.The decrease in the value of the car, which is 8%
Step-by-step explanation:
we have a exponential function of the form
where
y is the value of the car
x is the time in years
a is the initial value
b is the base
r is the rate of decrease
b=1+r
In this problem we have
a=$24,000 initial value of the car
b=0.92
so
0.92=1+r
r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease
Hey there! I'm happy to help!
Let's call the hamburgers h and the cheeseburgers c.
h+c=500
c=h-50
Let's plug this value for c into the first equation to solve for h.
h+h-50=500
2h-50=500
Add 50 to both sides.
2h=550
Divide both sides by 2.
h=275
Therefore, 275 hamburgers were sold on Wednesday.
Have a wonderful day! :D
The new slope is 3, but the y-intercept doesn't change.
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
