Answer: a) An = An-1 + An-2
b) 55ways
Step-by-step explanation:
a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.
Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that
An = 5n cents
Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;
An-1 = 5( n-1)
Case 2: using a dime which is two 5 cents, the number of ways is given as;
An-2 = 5(n-2)
Summing up the number of ways, we have
An = An-1 + An-2
From the relation,
If n= 0, Ao= 1
n =1, A1= 1
b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)
From the relation, we have that
Ao = 1
A1 = 1
An =An-1 + An-2
Ao = 1
A1 = 1
A2 = A1+Ao = 1+1= 2
A3 = A2 + A1 = 3
A4 = A3+A2=5
A5=A4+A3=8
A6=A5+A4=13
A7 =A6+A5 = 21
A8= A7+A6= 34
A9= A8+A7= 55
So there are 55ways to pay 45cents.
Answer: a.This is the average number of days the house stayed on the market before being sold for $150,000.
Step-by-step explanation:
Given: f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.
To find the meaning f(150),
here p= 150 which means f(150) is the average number of days a house stays on the market before being sold for price 150 in $1,000s.
And 150 in $ 1,000= $150,000
Therefore, f(150) is the average number of days a house stays on the market before being sold for price $150,000.
Answer:
its A
Step-by-step explanation:
If you subtract x from each side, it says Y = -x .
That tells you that the slope of the graph is -1, and the y-intercept is zero.
The graph is a straight line, passing through the origin.
It slopes DOWN from left to right, at an angle of 45 degrees.
Answer:
isnt it 24 LOL
Step-by-step explanation:
