Recall the formula for determining the interest using simple interest
Convert the rate into decimal form by dividing by 100%
Substitute the following values
P = $1300, r = 0.07, t = 6/12 (12 months in a year, only 6 months has passed)
Therefore, Margo will pay back $45.50 in interest.
The factored form of the considered polynomial is
If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
For the considered polynomial, we've got the quadratic expression as:
Comparing this with , we get:
Therefore, we have : ac = c = 24
Two numbers whose multiplication gives 24 and and whose addition gives 11.
24 =
If we take first three 2s, and 3, then:
Thus, we need to write 11 in the middle in terms of 8 and 3:
Thus, the factored form of the considered polynomial is
Learn more about factors of a quadratic equations here:
Answer:
Binomial probability
Step-by-step explanation:
For each computer, there are only two possible outcomes. Either they fail, or they do not. The probability of a computer failing is independent from the probability of other computers failing. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
To find the probability that exactly 20 of the computers will require repair on a given day, one will use what type of probability distribution