Answer:
The multiplicative rate of change is 4
Step-by-step explanation:
The multiplicative rate of change is the common ratio of the exponential growth curve.
The given exponential growth curve is
This function tells us that, when x=0, f(0)=2.
The subsequent terms can be obtained by multiplying by 4 repeatedly.
Therefore the multiplicative rate of change is 4.
The correct answer is option 2
Answer:
0.9662 ;
There is a strong positive relationship between the stocks.
Step-by-step explanation:
Given :
Standard deviation of stock X = 4.668
Standard deviation of stock Y = 8.006
Covariance of sample = 36.109
The Correlation Coefficient, r :
(Covariance of Sample (X, Y)) ÷ (standard deviation of X * Standard deviation of Y)
r = 36.109 / (4.668 * 8.006)
r = 36.109 / 37.372008
r = 0.9662
Given the value of the correlation Coefficient, we can infer that there is a strong positive relationship between the two stocks, (X, Y). That is Stock X increases as stock Y increases and vice versa.
Applying the trig formula: sin a = cos (90 - a)
cos (2x + 8) = sin (x + 37) = cos (90 - x - 37) = cos (53 - x)
Property of the cosine function -->
(
2
x
+
8
)
=
±
(
53
−
x
)
a. 2x + 8 = 53 - x
3x = 45
x
=
15
∘
b. 2x + 8 = - 53 + x
x
=
−
61
∘
For general answers, add
k
360
∘
Check by calculator.
x = 15 --> sin (x + 37) = sin 52 = 0.788
cos (2x + 8) = cos (38) = 0.788. Proved
x = - 61 --> sin (x + 37) = sin (- 24) = - sin 24 = - 0.407
cos (2x + 8) = cos (-122 + 8) = cos (- 114) = - 0.407. Proved