Answer:
c
Step-by-step explanation:
Answer:
4/6= 2/3
Step-by-step explanation:
5/6 - 1/6 = 4/6
lowest form : 2/3
Answer:
a)
b)
c)
Step-by-step explanation:
For this case we have a total of 1254 people. 672 are women and 582 are female.
We know that 124 women wnat on to graduate school.
And 198 male want on to graduate school
We can define the following events:
F = The alumnus selected is female
M= The alumnus selected is male
A= Female and attend graduate school
And we can find the probabilities required using the empirical definition of probability like this:
Part a
Part b
Part c
For this case we find the probability for the event A: The student selected is female and did attend graduate school
And using the complement rule we find P(A') representing the probability that the female selected did not attend graduate school like this:
Given:
Initial investment 450
annual simple interest rate of 5%
Simple interest = Principal * interest rate * term
Simple interest = 450 x 0.05 x 14
Simple Interest = 315
Balance after 14 years: 450 + 315 = $765
We can use compounding interest, compounded once a year.
Total balance = Principal * (1 + interest rate / number of compounding)^(# compounding * term)
Total balance = 450 * (1.05)¹⁴
Total balance = 450 * 1.98
Total balance = 891
Based on these scenarios, the formula that will be used is the second formula, compounding interest formula. The balance at the beginning of year 15 is $891.
I used 14 as the number of years because the problem states at the beginning of year 15. This means 15 has not yet begun and interest is not yet earned.
Answer:
Step-by-step explanation:
Midpoint theorem : The line joining midpoint of any two side of a triangle is parallel to third side and is half of it.
1) AI = 10.5
MC = 2*AI = 2*10.5
MC = 21
I solved for MC using midpoint theorem.
2) MC = 32
AI =
AI = 16
I solved for AI using midpoint theorem.