Answer:

Step-by-step explanation:
Given

Required
The inverse

Replace f(n) with y

Swap positions of y and n

Make y the subject

Replace y with f'(n)

We can eliminate one of the variables to solve for the other variable, as in both equations, y has opposite coefficients. Combine these two equations:

Divide both sides by 2 to get x by itself:

Plug this value into the second equation:

Subtract 123 from both sides to get y by itself:

Malik has
123 domestic stamps and 89 foreign stamps.
If his speed is 43 mph, then it takes him 40/43 of an hour to go 40 miles.
An hour = 60 minutes.
40/43 of 60 minutes = 55.8 minutes. He gets home 55.8 minutes after 6:24 PM.
Answer:
a) $160
b) $116.50
Step-by-step explanation:
a) Let the original price of the yellow bicycle be $x.
Since both has the same original price,
original price of yellow bicycle= 100% x
original price of green bicycle= 100% x
Discounted price of yellow bicycle
= (100% -25%) x
= 75% x
Discounted price of green bicycle
= (100% -30%) x
= 70% x
Difference in cost
= 75%x -70%x
= 5% x -----(1)
From 2nd paragraph:
Discounted price of yellow bicycle
= Kyreen's money +3.50
Discounted price of green bicycle
= Kyreen's money -4.50
Difference in cost
= (Kyreen's money +3.50) -(Kyreen's money -4.50)
= Kyreen's money +3.50 -Kyreen's money +4.50
= 3.50 +4.50
= 8.00 -----(2)
Equating (1) and (2) together:
5% x= 8.00



x= 8 ×20
x= 160
Thus, the original price of the yellow bicycle is $160.
_______
b) Amount Kyreen has at first
= discounted price of yellow bicycle -$3.50
= 75%($160) -$3.50
= $120 -$3.50
= $116.50
Answer:
a(n) = -81(-4/3)^(n - 1)
Step-by-step explanation:
The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.
Thus, the common ratio is -4/3.
The explicit function for this geometric series is
a(n) = -81(-4/3)^(n - 1)