Answer:
6.) So 8 of 24 hours is 1/3. So the percent of his time used was <u><em>33.33333 . . %</em></u> (etc)
7.) The easiest way to figure out a percentage is dividing it. So if it was 30 hit out of 75 people, then divide 30 by 75. So <u><em>40%</em></u> of them got hit.
Hope that helps
Answer is 72566.52
77000-5203=71797
3840-571=3269
71797+3269=75066
75066-2500=72566
72566+0.52=72566
Domain is all the possible inputs of an equation. In this example, the only concern is the x + 5 because the denominator cannot equal 0 because we can't divided by 0. So we set x + 5 equal to zero and solve for x.
x + 5 = 0
x = -5
The restriction is that x cannot equal -5.
Answer:
The interest rate for the given investment is 18%.
Step-by-step explanation:
We are given that,
The function representing the investment model is, 
.
It is required to find the interest rate for the investment.
Since, the function can be re-written as,
i.e. 
So, on comparing with the formula for compound interest i.e. 
, where 'r' is the interest rate.
We have that,
The interest rate for the given investment is 0.18 i.e. 18%.
Answer:
There are 1% probability that the last person gets to sit in their assigned seat
Step-by-step explanation:
The probability that the last person gets to sit in their assigned seat, is the same that the probability that not one sit in this seat.
If we use the Combinatorics theory, we know that are 100! possibilities to order the first 99 passenger in the 100 seats.
LIke we one the probability that not one sit in one of the seats, we need the fraction from the total number of possible combinations, of combination that exclude the assigned seat of the last passenger. In other words the amount of combination of 99 passengers in 99 seats: 99!
Now this number of combination of the 99 passenger in the 99 sets, divide for the total number of combination in the 100 setas, is the probability that not one sit in the assigned seat of the last passenger.
P = 99!/100! = 99!/ (100 * 99!) = 1/100
There are 1% probability that the last person gets to sit in their assigned seat
