The list is long, but here goes:
10/12, 15/18, 20/24, 25/30, 30/36, ... and so on.
Answer:
Present value is $993.47
Step-by-step explanation:
PV = present value
Fv = future value = $1,600
Discount (i) = 10%
N = Years = 5
The formula for this is given by:
PV = FV/(1 + i)^N
PV = $1600/(1 + 0.10)^5
PV = $1600/1.1^5
PV = $1600/1.61051
PV = $993.47
Answer:the number of adult tickets that the movie theatre sold is 63.
the number of child's tickets that the movie theatre sold is 61
Step-by-step explanation:
Let x represent the number of adult tickets that the movie theatre sold.
Let y represent the number of child's tickets that the movie theatre sold.
The total number of tickets sold is 124. It means that
x + y = 124
Movie theater charges $11.00 for an adult ticket and $8.00 for a child's ticket. The total cost of the tickets sold is 1181. It means that
11x + 8y = 1181 - - - - - - - - - - - -1
Substituting x = 124 - y into equation 1, it becomes
11(124 - y) + 8y = 1181
1364 - 11y + 8y = 1181
- 11y + 8y = 1181 - 1364
- 3y = - 183
y = - 183/ - 3
y = 61
x = 124 - y = 124 - 61
x = 63
So if you remember what the normal y = sin(x) function looks like (a wave), y = 2 sin(4x) is just changed a little.
The standard format for sine/cosine function
<span>y = a sin<span>(bx− c)</span> + <span>d
a = amplitude, distance from center of the wave to the highest point. This function a = 2 so the height of the sine wave reaches 2 instead of 1.
"c" and "d" shift the graph left/right and up/down respectively. These equal zero so the sine wave is not shifted.
The range (y-values) is then just the amplitude -2 ≤ y ≤ 2
The domain (x-value) is all real numbers because the wave just keeps going on to infinity in both directions.
2π / |b| = period, distance per wave
this equation b = 4
period is then π/2
this is the distance before a wave repeats.
Graph
x | y
-π/8 -2
0 0
π/8 2
3π/8 -2
5π/8 2
see the pattern? I'm using the amplitude or peaks and bottoms of the wave y = 2 and -2 then using the x-distance between like points is the period so you add π/2
(π/8 , 2)
+ π/2
(5π/8 , 2)
Same for the minumums of the wave (y = -2)
(-π/8 , -2)
+ π/2
(3π/8 , -2)
Hope this helps, otherwise there are youtube videos you can watch or try an online graphing calculator like Desmos.com
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Answer:
8 units
Step-by-step explanation:
Because the y-intercept for both ordered pairs is 4, then all you need to do is subtract X2 from X1, which is 8.
