The transformation from the first equation to the second one can be found by finding
a
a
,
h
h
, and
k
k
for each equation.
y
=
a
|
x
−
h
|
+
k
y
=
a
|
x
-
h
|
+
k
Factor a
1
1
out of the absolute value to make the coefficient of
x
x
equal to
1
1
.
y
=
|
x
|
y
=
|
x
|
Factor a
1
1
out of the absolute value to make the coefficient of
x
x
equal to
1
1
.
y
=
|
x
|
−
4
y
=
|
x
|
-
4
Find
a
a
,
h
h
, and
k
k
for
y
=
|
x
|
−
4
y
=
|
x
|
-
4
.
a
=
1
a
=
1
h
=
0
h
=
0
k
=
−
4
k
=
-
4
The horizontal shift depends on the value of
h
h
. When
h
>
0
h
>
0
, the horizontal shift is described as:
g
(
x
)
=
f
(
x
+
h
)
g
(
x
)
=
f
(
x
+
h
)
- The graph is shifted to the left
h
h
units.
g
(
x
)
=
f
(
x
−
h
)
g
(
x
)
=
f
(
x
-
h
)
- The graph is shifted to the right
h
h
units.
Horizontal Shift: None
The payments are ...
A = P(r/n)/(1 -(1+r/n)^(-nt))
where P is the principal amount, $699,000*0.80 = $559,200
r is the annual interest rate, 0.05
n is the number of compoundings per year, 12
t is the number of years.
Then
A = 559,200*(0.05/12)/(1 -(1 +0.05/12)^(-12*35)) = 2822.21
The total of 420 of these payments is $1,185,328.20, which is $626,128.20 more than the loan amount.
Jamie's total finance charge is about $626,128.20.
_____
There is always some minor adustment required in the amount of the last payment. That has not been taken into account here.
Answer:
Step-by-step explanation:
Collect like terms
⇒
⇒
Add the numbers
⇒
Hope I helped!
Best regards!!
Answer:
Its 2
Step-by-step explanation:
Answer:
60°
Step-by-step explanation:
they are equal.....
