Answer:
Option D.
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Answer:
a) p=0.021
b) p=0.029
c) Exactly one audit: P=0.0965
More than one audit: P=0.0042
Step-by-step explanation:
a) If the income is less than $100,000, there is a probability of 21 in 1,000 of being audited. This is:
If the income is equal or more than $100,000, there is a probability of 29 in 1,000 of being audited. This is:
b) If we have 5 taxpayers with incomes under $100,000, and we want to know the probability that exactly one will be audited, we can model this a binomial randome variable, with p=0.021 and n=5:
There is a probability of 0.0965 that exactly one out of a sample of five taxpayers with incomes under $100,000 will be audited.
To calculate the probability that more than one will be audited, we use the same distribution:
There is a probability of 0.0042 that more than one out of a sample of five taxpayers with incomes under $100,000 will be audited.
Answer:
10√2 inches (second option)
Explanation:
visualise a square in your head. then, imagine a diagonal running through it. that diagonal would separate the square into two triangles. so to find the diagonal, we first need to find the length of the square (which would serve as the base and height of the triangle).
we can simply divide the perimeter by 4 to get the length of each side, which would then be 40 ÷ 4 = 10.
next, we can use the formula of the pythagorus theorum! it states that a² + b² = c², where a, b and c are represented by the following image:
for our equation, this would translate to 10² + 10² = c², and c would be the length of the diagonal.
100 + 100 = c²
200 = c²
in radical form, the square root of 200 would be 10√2. therefore, the length of the diagonal is 10√2 inches, which is the second option.
i hope this helps! :D
