Answer:
A:
Step-by-step explanation:
Acceleration is second derivative of position, velocity is first derivative. Therefore, the velocity is the integral of acceleration.
Integrate:
V(0)=-5:
Therefore, v(t):
Note: there is not enough money to be "rolled over" from the old account.
It will be assumed that he "tops up" the monthly payments to maintain a contribution of $3000/quarter to the new account.
Quarterly amount, A = $3000
interest per quarter, i = 0.035/4
Number of quarters over 20 years, n = 20*4=80
Future value (value in 20 years)
=A((1+i)^n-1)/i
=3000((1+.035/4)^60-1)/(.035/4)
=235406.74 (to the nearest cent)
1. y+5=-x-5
2. y=-x-5-5
3.y=-x-10
4. y=x-10
_______________________
1. distribute negative sign
2. move the constant to the right and change the sign
3. -5-5 equals -10, bring everything down
4. change the sign of the x to positive, the equation is in standard form
The movies of 120 min or less than 120 mins are 100
Further explanation:
A histogram is a visual representation of data.
In the given histogram we can see that
5 movies are 0 to 30 minutes, 10 movies are 31 to 60 minutes, 30 movies are 61 to 90 minutes, 55 movies are 91 to 120 minutes, and 15 movies are over 120 minutes.
In order to find the number of movies which are 120 minutes long or less than 120 minutes we will add up all the number of movies with 120 length and less than that
So,
The movies of 120 min or less than 120 mins are 100
Keywords: Histogram, reading histograms
Learn more about histograms at:
#LearnwithBrainly
R=red
blue=b
g=green
r+g+b=33
r=4g
b=g/2
we must convert to a common unit which could be the smallest unit so we must convert to blue
b=g/2 or g=2b
r=4g
r=4(2b)
r=8b
r=8b
g=2b
b=b
r+g+b=33=8b+2b+b=11b
11b=33
divide both sides by 11
b=3
g=2b
g=2(3)
g=6
r=8b
r=8(3)
r=24
r=24
g=6
b=3