Answer:
B. Fₙ₊₁ = Fₙ - 0.15Fₙ + 5
Step-by-step explanation:
The options above are examples of recurrence relations where the present state Fₙ₊₁ is dependent on the previous state Fₙ.
For each year that a customer does not file a claim, their rate is reduced by 15%
Fₙ-(15% of Fₙ)= Fₙ-0.15Fₙ
A credit of $5 is also awarded, therefore:
Fₙ - 0.15Fₙ + $5
Therefore If a customer did not file a claim in the nth year, the customer's rate in the (n + 1)th year as a function of their rate in the nth year is given by:
Fₙ₊₁ = Fₙ - 0.15Fₙ + 5
Answer:
x=3
Step-by-step explanation:
9x+5+2x = 38
Combine like terms
9x+2x +5 = 38
11x+5 = 38
Subtract 5 from each side
11x+5-5 = 38-5
11x = 33
Divide each side by 11
11x/11 = 33/11
x = 3
Tape diagrams are useful for visualizing ratio relationships between two (or more) quantities that have the same units. They can be used to highlight the multiplicative relationship between the quantities.
Answer:
144 carrots
Step-by-step explanation:
Let C stand for the number of carrots that a student can plant.
We are told that carrots may be planted at a density of 9 carrots/ft^2.
Let A be the area, in ft^2, that can be planted with carrots. The area of a rectangle is Base x Length (in feet).
We can therefore write:
C = (9 carrots/ft^2)*A
In the garden shown, the area is A = (4 ft) x (4 ft) = 16 ft^2
C = 9 carrots/ft^2)*(16 ft^2)
C = 144 carrots
Answer:
9p−18
Step-by-step explanation:
Expand by distributing terms
(−9×2 ) (−9×−p)
Simplify
−18−9×−p
Regroup terms
−18−(−9p)
Remove parentheses
9p−18
