Answer:
38
Step-by-step explanation:
Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!
Answer:
A
Step-by-step explanation:
Answer:
The initial amount, A is approximately $19,991.1.
Step-by-step explanation:
The initial amount the man invests in the bank = A
The amount the man deposits after 15 years = $10,000
The amount in the account after 50 years = $251,894.21
The amount of money after every 15 years = 2 × Initial amount
Therefore, we have;
The amount in the account 15 years after when the man deposits another $10,000 = 2 × A
Therefore the initial amount at the 15th year = 2·A + 10000
The
We have;
2·A = A·(1 + r)¹⁵
(1 + r)¹⁵ = 2
1 + r = 2^(1/15)
r = 1 - 2^(1/15) = 0.04729412282
Therefore, we have;
On the 50th year, 50 - 15 = 35 year
$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵
A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1
The initial amount, A ≈ $19991.1.
Answer:
The probability that the first subject to be a universal blood donor is the seventh person selected is 0.0511
Step-by-step explanation:
Let's start defining the random variable X.
X : ''The first success is on the xth trial''
X can be modeled as a geometric random variable with the following probability function :
Where 
is the probability of the random variable X to assumes the value ''x''.
The variable p is the success probability.
For this exercise, we define a success as someone randomly selected is a universal donor and that probability is 
We are looking for : 
The probability function is :
3,500(1.8%) = 63
Jerome will earn 63 more dollars in the next year.
$3,563
