Answer:
$20 is the dependent quantity and 30-100 cars is the independent quantity. Domain is all real positive numbers and range is all real positive numbers
Answer:
SIMPLE ONE-TIME INTEREST
I
=
P
0
r
A
=
P
0
+
I
=
P
0
+
P
0
r
=
P
0
(
1
+
r
)
I is the interest
A is the end amount: principal plus interest
P0 is the principal (starting amount)
r is the interest rate (in decimal form. Example: 5% = 0.05
Step-by-step explanation:
Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
![f(n) = 3(2)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%203%282%29%5En)
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in ![f(n) = 3(2)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%203%282%29%5En)
![f(0) = 3(2)^0](https://tex.z-dn.net/?f=f%280%29%20%3D%203%282%29%5E0)
![f(0) = 3*1](https://tex.z-dn.net/?f=f%280%29%20%3D%203%2A1)
![f(0) = 3](https://tex.z-dn.net/?f=f%280%29%20%3D%203)
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
![f(0) = 3](https://tex.z-dn.net/?f=f%280%29%20%3D%203)
Take n = 1
Substitute 1 for n in ![f(n) = 3(2)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%203%282%29%5En)
![f(1) = 3(2)^1](https://tex.z-dn.net/?f=f%281%29%20%3D%203%282%29%5E1)
![f(1) = 3*2](https://tex.z-dn.net/?f=f%281%29%20%3D%203%2A2)
![f(1) = 6](https://tex.z-dn.net/?f=f%281%29%20%3D%206)
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
Problem 1
Answer: Direct variation; k = 1/4
----------------------
Explanation:
We can rewrite the given equation y = x/4 into y = (1/4)x. Then note how it's in the form y = kx. In this case, k = 1/4. In decimal form, this is k = 0.25
All direct variation equations are in the form y = kx. The value of k is the constant of variation.
====================================================
Problem 2
Answer: Inverse variation; k = 9
----------------------
Explanation:
The equation 9/y = x rearranges to xy = 9.
We can then solve for y to get y = 9/x
This is in the form y = k/x, where k = 9
All inverse variation equations are in the form y = k/x, with k as the constant of variation.
Answer:
50%
Step-by-step explanation:
22 is half of 44.
So, this means 50% of 44 is 22.