They are both examples of <span>equivalent fractions. :)
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Answer:
$8.50
Step-by-step explanation:
let the price before tax be $x
given that the sales tax rate is 4%, hence the amount she paid in taxes
= 4% of x
= (4/100)x
= 0.04x
We can now build an equation for what she paid:
Amount Paid = price before tax + amount paid in taxes
8.84 = x + 0.04x
8.84 = 1.04x (divide both sides by 1.04 and rearranging)
x = 8.84 / 1.04
x = $8.50
Answer:
60.63% probability that one or more of these mortgages is delinquent
Step-by-step explanation:
For each mortgage, there are only two possible outcomes. Either it is delinquent, or it is not. The probability of a mortgage being delinquent is independent of other mortgages. So we use the binomial probability distribution to solve this question.
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.
11% of U.S. mortgages were delinquent last year.
This means that
A random sample of eight mortgages was selected.
This means that
What is the probability that one or more of these mortgages is delinquent?
Either no mortgages are delinquent, or at least one is. The sum of the probabilities of these events is decimal 1. So
We want
So
In which
Then
60.63% probability that one or more of these mortgages is delinquent
First lets start with number six. The only way to solve this is if you determine what "a" and "b" are using the first log they have given to you.
The first variable that I solved for was "a" and }
The same is also true for "b", but when you put both "a" and "b" together the only combination that I have found to work is
Next you plug these numbers in for "a" and "b" on the second equation to get something that looks like this: and the picture below shows where the answer becomes a negative fraction.
https://www.symbolab.com/solver/logarithms-calculator/%20%5Clog_%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cfrac%7B1%7D%7B4%7D%7D%5Cleft(%5Cfrac%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%5Cright)
If you paste that link in your search bar it will give you a even more in depth understanding of how to get this answer
Next is #7, the easier of the two.There are two ways to solve for your answers. According to the graph of this equation there are four possible real solutions. . (This does not account for any complex solutions)
Notice that the bases are conjugates which is why the answers are so "nice"
The key is in the exponents
if then the sum on the conjugates will be 10 so
so
Now for the other two
the solution is also true if
so
the four real solutions are
Step-by-step explanation:
• Find S7.
The answer is B.