<u>ANSWER</u>
The line that is parallel to
through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line
has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope
.
Let
be the equation of the line parallel to the line

We can substitute
to obtain;

If the line passes through the point
,then this point must satisfy its equation.
We substitute
and
to obtain;

We this equation for
.



We substitute this value of
in to
to get;
.
Hence the equation of the line that is parallel to
through
is
.
Substitute the given values for the parameters in the point-slope form of the equation of a line. That form is
y - k = m(x - h)
for point (h, k) and slope m.
You have (h, k) = (1, 2) and m=-3, so your equation is
y - 2 = -3(x - 1)
63 in 4.5 hours
63 divided by 4.5 is 14 so
14 MPH would be your answer
Answer:1,-10
Step-by-step explanation:
Answer:
He would have $111,050.77 in the IRA.
Step-by-step explanation:
<u>What we know</u>:
The PMT is $1000
Rate of Interest (i in the formula) is 6.4% or 0.064 in decimal form
Number of periods (n) is 12
-
<u>Equation (Future Value Formula)</u>:
FV = PMT ( (1+i)^n -1) / i)
= 1000 ( (1+0.064)^12 -1) / 0.064)
FV = 17,269.22 (rounded)
-
A stands for amount
T stands for time period which is 30
<u>Finding IRA</u>:
A = FV (1+i)^t
= 17,269.22 (1+0.064)^30
= $111,050.77