Answer:
$5151.42
Step-by-step explanation:
The formula you need is
where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate in decimal form, n is the number of compoundings per year, and t is time in years. The info we have is
A(t) = 8000
P = ?
r = .09
t = 5
Filling in we have
Simplifying a bit and we have
Now we will add inside the parenthesis and raise 1.045 to the 10th power to get
8000 = P(1.552969422)
Divide away the 155... on both sides to solve for P.
P = $5151.42
Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
- 18 juniors
- 10 seniors
- 6 female seniors
- 10-6 = 4 male seniors
- 12 junior males
- 18-12 = 6 junior female
- 6+6 = 12 female
- 4+12 = 16 male
- A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
- P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
- P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
- P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
Answer:
(-7,14,21,42)
Step-by-step explanation:
(-7,-4,2,14,21,34,42)
-7 = 7*-1 yes
14 = 7*2 yes
21 = 7 *3 yes
42 = 7*6 yes
Answer: you will make 2'190'000 in a year
Step-by-step explanation: 6k times 365 is 2.19 mil
