Stokes' theorem allows for any choice of with as its boundary. The simplest region would be the disk in the plane , which can be parameterized using polar coordinates by
with and . Take the normal vector to to be
Then by Stokes' theorem,
where denotes the curl of . The curl is
so the line integral has a value of
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 150
R interest rate 0.025
T time?
3000=150 (1+0.025/12)^12t
Solve for t
3000/150=(1+0.025/12)^12t
Take the log
Log (3000/150)=log (1+0.025/12)×12t
12t=Log (3000/150)÷log (1+0.025/12)
T=(log(3,000÷150)÷log(1+0.025÷12))÷12
T=119.95 years
Answer:
I think it’s D
Step-by-step explanation:
Answer:
0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval
Mean of 0.5
7-day week, so
What is the probability that, in any seven-day week, the computer will crash less than 3 times?
In which
0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times
Step-by-step explanation:
f(x) =2x - 5
f(k-2) = 2(k-2) - 5
= 2k -4-5
= 2k - 9