HEY THERE.
THE CORRECT ANSWER IS 36/63 = 4/7
Hope this helps you
Answer:
w=5
Step-by-step explanation:
two negatives is a positive
4k(3n+2) this is basically just factoring out a common multiple which in this case is a k and a 4
The equation that represents the <em>sinusoidal</em> function is ![x(t) = -8 + 6.5 \cdot \sin \left[\left(\frac{2}{3} \pm \frac{4\cdot i}{3}\right)\cdot t + \left(\frac{2\pi}{3} \pm \frac{7\pi \cdot i}{3} \right)\right]](https://tex.z-dn.net/?f=x%28t%29%20%3D%20-8%20%2B%206.5%20%5Ccdot%20%5Csin%20%5Cleft%5B%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%20%5Cpm%20%5Cfrac%7B4%5Ccdot%20i%7D%7B3%7D%5Cright%29%5Ccdot%20t%20%2B%20%5Cleft%28%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%5Cpm%20%5Cfrac%7B7%5Cpi%20%5Ccdot%20i%7D%7B3%7D%20%20%5Cright%29%5Cright%5D)
, 
.
<h3>Procedure - Determination of an appropriate function based on given information</h3>
In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline (
) and has both a maximum (
) and a minimum (
).
Sinusoidal functions have in most cases the following form:
(1)
Where:
- Angular frequency
- Angular phase, in radians.
If we know that 
, 
, 
, 
and 
, then the sinusoidal function is:
(2)
(3)
The resulting system is:
(2b)
(3b)
By applying <em>inverse trigonometric </em>functions we have that:
, 
(2c)
, (3c)
And we proceed to solve this system:
, 
By (2c):
The equation that represents the <em>sinusoidal</em> function is , .
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372
Answer:
93,749 stores will remain in 2022
Step-by-step explanation:
To do this, we find the percentage decrease from now till 2022
Since we expect a 6% decrease, there would thus be a percentage of 94% stores left each year.
The percentage left this year will be:
94/100 * 112,871 = 106,099
For the year 2021, that will be:
94/100 * 106,099 = 99,733
And finally for the year 2022:
94/100 * 99,733 = 93,749 stores
