Answer:
$100,700
Step-by-step explanation:
Given data
Principal= $38,000
rate= 8.25%
Time= 20 years
Applying the simple interest
A=P(1+rt)
substitute
A=38000(1+0.0825*20)
A=38000(1+1.65)
A=38000*(2.65)
A=$100,700
Hence in 20 years she will pay $100,700
Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.
<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.
The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

More can be learned about the uniform distribution at brainly.com/question/13889040
The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
a / 75 = 15 / 100
100a = 75 * 15 [cross multiplication]
a = 11.25
i hope this helps!!! :D
Answer:
y-6
Step-by-step explanation: