Answer:
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The one time investment of $1000 would worth $10285.72 after 40 years at 6% rate of return
What is annual compounding?
Annual compounding means that the number of times interest is compounded annually is once, compared to semiannual compounding where the interest on the investment is calculated twice a year.
The worth of the investment after 40 years means its future value after having invested $1000 for 40 years using the below formula for future value of a single cash flow:
FV=PV*(1+r)^N
FV=future worth of investment=unknown
PV=initial investment=$1000
r=rate of return=6%
N=number of years of investment=40
FV=$1000*(1+6%)^40
FV=$1000*1.06^40
FV=$1000* 10.2857179371259
FV=$10285.72
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= 3 - 3cos x - 2(1- cos^2 x)
= 2cos^2 x - 3cos x + 1
=(cos x -1)(cosx - 1/2)
now cos x = 1 or cos x= 1/2
draw a graph we get = + ve values
hence .. 0 ,180,360 and 60,240, degrees in range x<2pi
Answer: 71
Step-by-step explanation: A triangle adds up to 180 so you subtract 28 and 81 from 180 to get your answer
Formula to find mean and standard deviation is,
Means = np and standard deviation =
.
Where n= sample size, p = probability.
According to the given problem, the probability that an individual has 20 vision is 0.19 in a class of 70 students. So,
p = 0.19 and n = 70.
Hence, the first step is to plug in these values in the above formula to get mean and standard deviation. Therefore,
Mean = np
= 70* 0.19
= 13.3
= 13.300 (Rounded to nearest thousandth.
Standard deviation = 
=
=
=√10.773
=3.282224855
= 3.282 (Rounded to nearest thousandth).
