Step-by-step explanation:
Inverse of
y
=
x
+
3
x
−
2
is
y
=
2
x
+
3
x
−
1
Explanation:
As
y
=
x
+
3
x
−
2
x
y
−
2
y
=
x
+
3
or
x
y
−
x
=
2
y
+
3
or
x
(
y
−
1
)
=
2
y
+
3
or
x
=
2
y
+
3
y
−
1
Hence inverse of
y
=
x
+
3
x
−
2
is
y
=
2
x
+
3
x
−
1
Observe that each of the function is a reflection of the other in the line
x
=
y
.
graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}
Answer:
FV= $34,222.33
Step-by-step explanation:
<u>First, we need to calculate the weekly interest rate:</u>
Weekly interest rate= 0.0289/52= 0.00056
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= weekly deposit
n= 15*52= 780
A= $35
FV= {35*[(1.00056^780) - 1]} / 0.00056
FV= $34,222.33
Answer:
2000? ... assume $2000
Resale Value = $2000*(1 - 0.25)t/yr
where: t = number of year after purchase
at t = 3 yr
Resale Value = $2000*(1 - 0.25)3 = $843.75
checking: at t = 0 $2000 (purchase price)
at t = 1 yr $2000 - 0.25*$2000 = $2000 - $500 = $1500
at t = 2 yr $1500 - 0.25*$1500 = $1500 - $375 = $1125
at t = 3 yr $1125 - 0.25*$1125 = $1125 - $281.25 = $843.75
