Answer:
-5 is the answer
Step-by-step explanation:
c is the answer
Answer:
![D.\ y = 3\sin(2(x + \frac{\pi}{4}))](https://tex.z-dn.net/?f=D.%5C%20y%20%3D%203%5Csin%282%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B4%7D%29%29)
Step-by-step explanation:
Given
--- Amplitude
--- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:
![y = A\sin(B(x + C)) + D](https://tex.z-dn.net/?f=y%20%3D%20A%5Csin%28B%28x%20%2B%20C%29%29%20%2B%20D)
Substitute values for A and C
![y = 3\sin(B(x + \frac{\pi}{4})) + D](https://tex.z-dn.net/?f=y%20%3D%203%5Csin%28B%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B4%7D%29%29%20%2B%20D)
By comparison, only option (D) has the above format where
![y = 3\sin(2(x + \frac{\pi}{4}))](https://tex.z-dn.net/?f=y%20%3D%203%5Csin%282%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B4%7D%29%29)
Hence (D) is correct
Answer:
$25,740
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 23400 × 0.05 × 2 = 2340
I = $ 2,340.00
The simple interest accumulated
on a principal of $ 23,400.00
at a rate of 5% per year
for 2 years is $ 2,340.00.
Answer: 11.4
Step-by-step explanation:
I did part / whole = % / 100
So x / 76 = 15 / 100
76 x 15 = 1140
1140 ÷ 100 = 11.4
Answer:
86.6 feet (3 s.f.)
Step-by-step explanation:
Please see attached picture.
tan60°= height of tower/ 50
Height of tower
= 50tan60°
= 50√3
= 86.6 ft (3 s.f.)
tanѲ= opp/ adj