Answer:
Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line
is
Step-by-step explanation:
Given:
To Find:
Equation of line passing through ( 16, -7) and is perpendicular to the line
Solution:
...........Given

Comparing with,
Where m =slope
We get
We know that for Perpendicular lines have product slopes = -1.

Substituting m1 we get m2 as

Therefore the slope of the required line passing through (16 , -7) will have the slope,
Now the equation of line in slope point form given by
Substituting the point (16 , -7) and slope m2 we will get the required equation of the line,
Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line
is
Answer:
58.6.....................
Answer:
The coordinates of B' and C' are
and
, respectively.
Step-by-step explanation:
From the Linear Algebra, we define the translation of a given point as:
(1)
Where:
- Original point, dimensionless.
- Translation vector, dimensionless.
- Translated point, dimensionless.
If we know that
and
, then the translation vector is:
(2)


If we know that
,
and
, then the translated points are, respectively:
(3)




The coordinates of B' and C' are
and
, respectively.
A = $ 861.69
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year,
putting time into years for simplicity,
1 quarters ÷ 4 quarters/year = 0.25 years,
then, solving our equation
A = 850(1 + (0.055 × 0.25)) = 861.6875
A = $ 861.69
The total amount accrued, principal plus interest,
from simple interest on a principal of $ 850.00
at a rate of 5.5% per year
for 0.25 years (1 quarters) is $ 861.69.