4z + 3e + 5
4z = z + 3z
3e = 5e - 2e
5 = 13 - 8
Dy/dx=10,15,20,25,30
d2y/dx2=5,5,5,5,5 (there is no "rate of change" that is constant because acceleration is positive meaning that velocity keeps increasing...)
Since d2y/dx2 is constant, acceleration is constant, and this means that it is a quadratic equation of the form y=ax^2+bx+c
There are only three unknowns so we can use just three data points.
9a+3b+c=60
4a+2b+c=40
a+b+c=25 getting differences between these...
5a+b=20
3a+b=15 and again...
2a=5, so a=2.5, making 3a+b=15 become:
7.5+b=15, so b=7.5, making a+b+c=25 become:
2.5+7.5+c=25, so c=15
So the quadratic which produced the table is:
y=2.5x^2+7.5b+15
This is the regular old position function you see with any object moving with constant acceleration (like gravity when simplified).
The acceleration is 2.5 it has an initial velocity of 7.5 and an initial position of 15.
By the Pythagorean theorem we have:
x ^ 2 + y ^ 2 = 100 ^ 2
Then, we have:
"the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at the ground level"
y = 3x
Answer:
The system of equations is:
x ^ 2 + y ^ 2 = 100 ^ 2
y = 3x
Answer:
5x+35
Step-by-step explanation:
In pic
(hope this helps can I pls have brainlist (crown) ☺️)
Answer:
2.4%
Step-by-step explanation:
Total amount of payments:
5 years * 12 months/year * $78.40/month =
= $4704.00
Amount of interest paid in 5 years:
$4704 - $4200 = $504
Amount of interest paid in 1 year:
$504/5 = $100.80
Annual percent rate of interest:
$100.80/$4200 * 100% = 2.4%
Answer: 2.4%