What is the equation of a line that passes through the points (3, 6) and (8, 4)?
1 answer:
9514 1404 393
Answer:
y = -2/5x +36/5 . . . . . slope-intercept form
2x +5y = 36 . . . . . . . . standard form
Step-by-step explanation:
You can use the 2-point form of the equation of a line to find it.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (4 -6)/(8 -3)(x -3) +6
y = -2/5(x -3) +6
y = -2/5x +36/5 . . . . slope-intercept form
2x +5y = 36 . . . . . . . standard form
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Answer:
3 hours 8 seconds
Step-by-step explanation:
Juan and Andrés are older adults and marathoners. Today they participated in the international marathon of the Andes. The announcer who covers this sporting event reported that Juan had finished the race with a time of 3¾ hours. Tijuanito the route in ⅔ of hours more than Andrés, how long did Andrés finish the marathon ?.
It is given that,
Juan had finished the race with a time of 3¾ hours.
He takes ⅔ of hours more than Andrés.
We need to find how long did Andrés finish the marathon.
Time taken by Juan = hours
Time taken by Tijuanito is hours more than Andrés.
So, Andrés finish the marathon before.
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