Answer:
P = 20000×1.625^(n/4)
Step-by-step explanation:
An exponential equation can be written using the given data:
value = (initial value)×(growth factor in period)^(n/(period))
Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...
P = 20000×1.625^(n/4)
Answer:
It takes 3 seconds over the interval [0,3]
Step-by-step explanation:
To find when the roller coaster reaches the ground, find when d=0.

To solve divide each term by 16 and factor:

Solve for t by setting each factor to 0.
t-3=0 so t=3
t+3=0 so t=-3
This means the car is in the air from 0 to 3 second.
Answer:
The equation of the line is y - 3 = -2(x + 4)
Step-by-step explanation:
* Lets explain how to solve the problem
- The slope of the line which passes through the points (x1 , y1) and
(x2 , y2) is 
- The product of the slopes of the perpendicular lines = -1
- That means if the slope of a line is m then the slope of the
perpendicular line to this line is -1/m
- The point-slope of the equation is 
* lets solve the problem
∵ A given line passes through points (-4 , -3) and (4 , 1)
∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1
∴ The slope of the line 
- The slope of the line perpendicular to this line is -1/m
∵ m = 1/2
∴ The slope of the perpendicular line is -2
- Lets find the equation of the line whose slope is -2 and passes
through point (-4 , 3)
∵ x1 = -4 , y1 = 3
∵ m = -2
∵ y - y1 = m(x - x1)
∴ y - 3 = -2(x - (-4))
∴ y - 3 = -2(x + 4)
* The equation of the line is y - 3 = -2(x + 4)
Add the ratios together: 3+7=10. The ratio means that there are 3/10×40=12 orange seashells and 7/10×40=28 pink seashells.
Answer:
21 goes into 189 9 times
Step-by-step explanation:
189
------- = 9
21