Answer:
y = -7/2x + 17/2
Step-by-step explanation:
Slope = (-9 - - 2)/(5 - 3)
= -7/2
y-intercept: -2 - (-7/2)(3)
= -2 + 21/2 (-2*2+21)/2
= 17/2
<span>$628,119.20
The formula for calculating the periodic payment on a loan is:
P = r(PV)/(1-(1+r)^(-n))
where
P = Payment
PV = Present Value
r = Interest rate per period
n = number of periods
So for this loan, assuming that payments are made monthly, the value r will be 0.05575/12 = 0.004645833, the value n will be 30*12 = 360, and PV is 592000. So let's substitute these values into the equation and calculate:
P = r(PV)/(1-(1+r)^(-n))
P = 0.004645833(592000)/(1-(1+0.004645833)^(-360))
P = 2750.333333/(1-(1.004645833)^(-360))
P = 2750.333333/(1-0.188505723)
P = 2750.333333/0.811494277
P = 3389.220861
So each payment will be $3389.22
Arnold will make a total of 360 payments, so will spend
360 * $3,389.22 = $1,220,119.20
Since his loan was for only $592,000; let's subtract that from his total payments to get the interest.
$1,220,119.20 - $592,000 = $628,119.20
Therefore his total interest is $628,119.20</span>
Answer:
The center of the circle is at;
The radius of the circle is;
Explanation:
Given the equation of circle;
we want to re-write it in the form;
where;
Applying Completing the square method;
comparing the derived equation to the general form we have;
Therefore;
The center of the circle is at;
The radius of the circle is;
Y2-y1/ x2-x1 is the formula for slope
First of all, your second term is already wrong. When you divided 8x² by 4 ,
you should have written 2x² , not 4x² .
Make that correction, and then divide the whole thing by 'x'.
Then you'll have x² - 2x + 1 = 0 .
You should have no trouble solving that one,
(especially since it's a perfect square)
That gives you two (equal) solutions. But you should also ask yourself:
"Self ! Where is the third solution ? A cubic equation like the original
one needs three solutions."
I'll give you that one:
Look over the original equation, and look at what happens to it when x = 0 .
Then the left side becomes zero, and the equation is 0 = 0 . Since that's a
true statement, " x = 0 " is another solution of the cubic equation, and now
you have all three of them.