Answer:
The size of Harry's loan is $9000.
Step-by-step explanation:
D(t) models Harry's remaining debt, in dollars, as a function of time t, in months that is given by :
We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.
Lets put t = 0, that shows no payments have been made.
This will get the amount of loan, before any payments.
So,
Hence, the size of Harry's loan is $9000.
Answer:
a)P=0.42
b) 
Step-by-step explanation:
We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:
a) we have k=2, n=10 and p=0.01:
b) We have, 
, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.
In this question, the information that Katie has already read 32% of a book that has a total of 80 pages is of great importance. This information is enough to find the required answer to the question.
Total number of pages Katie has to read = 80
Percentage of pages that Cathie read = 32%
Number of pages that Katie read = (32/100) * 80
= 256/10
= 25.6 pages
Then
The number of pages that Katie have left to read = 80 - 25.6
= 54.4 pages
So Katie has 54.4 pages left to read.
Answer:
[6 12 2]
[0 0 0]
[0 6 2]
Step-by-step explanation:
It is 120 ways, surprisingly
