Answer:
23% increase
Step-by-step explanation:
13 - 10 = 3
3/13 = 0.2307 = 23%
Hope that helped!!! k
Answer:
405 cycles
Step-by-step explanation:
We have the equation:
y = 6*sin(324*π*t)
For the properties of the sin function, we know that the period is 2π.
So between:
Sin(x) and Sin(x + 2*pi)
we have a cycle.
between:
Sin(x) and Sin(x + 6*pi)
we have 3 cycles.
and so on.
Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds
Between these times, the difference in the argument of the sin function is:
324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5
Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5
That number is just the quotient between 324*π*2.5 and 2*π
N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405
There are 405 cycles between 3 seconds and 5.5 seconds.
Answer:
y= - abs(2x)
Step-by-step explanation:
Answer:
$15400
Step-by-step explanation:
Principle amount, P = $14000
Time, T = 1 year
Rate of interest, R = 10%
We know that maturity amount,
where n is number of years
The maturity amount is $15400
Triangle ADE is equilateral so each of its interior angles haves measure 60 degrees. AB is a diameter of the circle because it passes through C. Then AB is perpendicular to ED, which means triangle ABD is a 30-60-90 triangle.
In this triangle, the lengths of BD, AD, and AB occur in a ratio of 1 to 2 to , so that AB has length .
So the circle has diameter 3, or radius 3/2, and its area is and the answer would be C.