Answer:
Explanation:
We must write this equation in the form
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
Where
(
a
,
b
)
are the co ordinates of the center of the circle and the radius is
r
.
So the equation is
x
2
+
y
2
−
10
x
+
6
y
+
18
=
0
Complete the squares so add 25 on both sides of the equation
x
2
+
y
2
−
10
x
+
25
+
6
y
+
18
=
0
+
25
=
(
x
−
5
)
2
+
y
2
+
6
y
+
18
=
0
+
25
Now add 9 on both sides
(
x
−
5
)
2
+
y
2
+
6
y
+
18
+
9
=
0
+
25
+
9
=
(
x
−
5
)
2
+
(
y
+
3
)
2
+
18
=
0
+
25
+
9
This becomes
(
x
−
5
)
2
+
(
y
+
3
)
2
=
16
So we can see that the centre is
(
5
,
−
3
)
and the radius is
√
16
or 4
A) The amount financed is the purchase amount less the down payment.
$2,574.54 -574.54 = $2000.00
B) The finance charge is the total of payments less the amount financed.
18*$121.00 -2000.00 = $178.00
C) The APR is calculated by a financial calculator to be 10.96%.
Let us say that the variables for flight is designated by
1, while the return flight by 2, since the distance travelled are equal, therefore:
v1 t1 = v2 t2
or
460 t1 = 500 t2
Since t1 + t2 = 4.8, therefore: t1 = 4.8 – t2
460 (4.8 – t2) = 500 t2
2208 – 460 t2 = 500 t2
960 t2 = 2208
t2 = 2.3
t1= 4.8 – t2 = 4.8 – 2.3
t1 = 2.5
Answer:
The flight took 2.5 hours while the return flight took
2.3 hours.
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