Veronica got a 5/25 balloon mortgage and her initial payments were $995. She decided to refinance her balloon payment with a 30-
2 answers:
Answer:
The right answer is option A.$411,420
Step-by-step explanation:
The 5/25 name means that the loan has a fixed rate for the first five years.
Given is : Veronica's initial payments were $995.
For first 5 years she paid =
dollars
Then she decided to refinance her balloon payment with a 30-year mortgage and her new payments were $977.
So, next payments will be for 30 years. The payments will be =
dollars
So, total financed cost Veronica paid for her house is =
dollars
Therefore, option A is the answer.
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Question:
What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the values of radius and central angle are not given.
However, I'll answer the question using the attached figure.
From the attached figure, the radius is 3 unit and the central angle is 120 degrees
The area of a sector is calculated as thus;
Where represents the central angle and r represents the radius
By substituting and r = 3
becomes
square units
Solving further to leave answer as a decimal; we have to substitute 3.14 for
So, becomes
square units
Hence, the area of the sector in the attached figure is or 9.42 square units
Answer:
Step-by-step explanation:
So in this example we'll be using the difference of squares which essentially states that: or another way to think of it would be:
. So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:
Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:
So completely factored form is:
I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because . and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes:
just something that might be useful in some cases.