Last Choice is the answer
Answer:
<em>(-6, 0) and (0, 1.5)</em>
<em></em>
Step-by-step explanation:
The equation of the line in pint slope form is expressed as;
y-y0= m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given
m = 1/4
(x0, y0) = (6,3)
Substitute into the formula;
y - 3 = 1/4(x-6)
4(y-3) = x - 6
4y - 12 = x-6
4y - x = -6+12
4y - x = 6
x = 4y - 6
To get the points to plot, we will find the x and y-intercept of the resulting expression.
For the x-intercept,
at y = 0
x = 4(0) - 6
x = -6
Hence the x-intercept is at (-6, 0)
For the y-intercept,
at x = 0
0 = 4y - 6
4y = 6
y = 6/4
y = 3/2
y = 1.5
Hence the y-intercept is at (0, 1.5)
<em>Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)</em>
<em></em>
Given:


To find:
The value of
.
Solution:
We have,


Using properties of log, we get
![\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_a%5Cdfrac%7Bm%7D%7Bn%7D%3D%5Clog_am-%5Clog_an%5Cright%5D)
![[\log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Clog%20x%5En%3Dn%5Clog%20x%5D)
Substitute
and
.



Therefore, the value of
is
.
Answer:$728
Step-by-step explanation:
$156,000 less 20% is $124,800.
That is the amount that is being financed. If the rate is7% per year the first months interest is:
124,800*.07/12 = $728
You didn't ask but if the mortgage is like most conventional mortgages the 30 * 12 = 360 payments are all approximately equal, with less money expended on paying down the principal at first. Their equal payment would be: $830.30