Answer:

Step-by-step explanation:
Collect like terms and calculate the sum
This cash flow is a perpetuity. To find the present value of perpetuity, we use the equation of
Pv=C÷r
Pv=39,000÷0.058
Pv=672,413.79
Standard error of the mean is computed by:
Standard error = SD/ sqrt N
Where:
N is the sample size
SD is the standard deviation
To get the standard deviation, you need to get the sqrt of
the variance = sqrt 9 = 3
So plugging in our data:
Standard error = 3 / sqrt (16)
= 0.75
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x