Answer: the monthly payment is $1530.1
Step-by-step explanation:
The cost of the house is $319,000.
The down payment made is 20%. This means that the amount paid as down payment is
20/100 × 319000 = 63800
The balance to be paid would be
319000 - 63800 = $255200
We would apply the periodic interest rate formula which is expressed as
P = a/{[(1+r)^n]-1}/[r(1+r)^n]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $255200
r = 0.06/12 = 0.005
n = 12 × 30 = 360
Therefore,
P = 255200/{6.0226 -1}/[0.005(6.0226)]
P = 255200/166.79
P = 1530.1
Vertex=(0,0)
directrix is x=2.5
or x-2.5=0
so focus S is (-2.5,0)
let P(x,y)be any point on the parabola.
Let M be the foot of perpendicular from P(x,y) on the directrix.
then SP=PM
It would be 1/6a-1/6
You need to find the common denominator which is six
-2/3a+5/6a
-4/6a+5/6a=1/6a
Answer: -2x+3y = 21 which is choice C
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Work Shown:
The slope of the original line is -3/2. The perpendicular slope is 2/3. We flip the fraction and flip the sign. Multiplying the original slope (-3/2) and the perpendicular slope (2/3) will result in -1. Let's use this perpendicular slope and the point to find the equation of the perpendicular line in slope intercept form.
y = m+b
y = (2/3)x+b .... plug in the perpendicular slope
9 = (2/3)(3)+b .... plug in the point (x,y) = (3,9)
9 = 2+b
9-2 = 2+b-2 ... subtract 2 from both sides
b = 7
So y = (2/3)x+b turns into y = (2/3)x+7.
This equation is in slope intercept form.
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Let's convert to standard form
y = (2/3)x+7
3*y = 3*((2/3)x+7) ... multiply both sides by 3 to clear out the fraction
3*y = 3*(2/3)x+3*7 ... distribute
3y = 2x+21
-2x+3y = 21 .... get the x term to the other side (subtract 2x from both sides)
