Perfect cubes between 1000 and 6000
1 answer:
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Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are equal
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
----> equation A
isolate the variable y
Divide by 7 both sides
The slope of the line A is
----> equation B
isolate the variable y
Divide by 3 both sides
The slope of the line B is
Compare the slope of both lines
so
----> the lines are not parallel
Find the product of the slopes
----> the lines are perpendicular
Answer:
$132.93
Step-by-step explanation:
We will use annuity formula, which is:
Where P is the loan amount
C is the monthly payment
r is the rate of interest [monthly]
n is the time period [in months]
Firstly, let's calculate her normal monthly payment (without purchasing points):
P is 105,000
C is what we need to find
r is the 0.045/12 = 0.00375
n is 12*30 = 360
Now, we have:
So <u>monthly payment would be around $532.02</u>
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Now,
With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%
Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.
Now, putting these values into the annuity formula we have:
The <u>monthly payment would be around $399.09</u>
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The amount that is lower is 532.02 - 399.09 = $132.93