Answer:
Below in bold.
Step-by-step explanation:
i) Amount = 15000(1 + 0.10)^2 = 18,150.
Interest = 3,150.
ii) Amount = 15620(1 + 0.08/2)^(3/2*2)
= 15620(1 + 0.04)^3
= 17,570.38.
Interest =1,950.38.
iii) Amount = 100000(1 + 0.04/4)^(3)
= 100000(1 + 0.01)^3
= 103,030.1
Interest = 3030.1.
Answer:
y=7
Step-by-step explanation:
Since they are all congruent angles this means that the sides are equal too.
(1,4) sorry that’s probably not right lmaaoaoo
Answer:
2.86% probability that there are exactly 3 crimes during the next hour
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.
In a city with 40000 people, each person has a 0.00020 probability of committing a crime each hour.
So 
What is the probability that there are exactly 3 crimes during the next hour
This is P(X = 3).


2.86% probability that there are exactly 3 crimes during the next hour
Answer:

Step-by-step explanation:
The formula for arc length is:

Where Θ is measured in degrees.
We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:

Divide both sides by 2π:

Simplify the fraction:

Multiply both sides by 9/2:

So, the radius is 18.
Now, we can find the area of the circle. The formula for the area of a circle is:

Substitute 18 into r:

Simplify:

And we're done!