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:
the slope is -3
Step-by-step explanation:
Using an ordered pair is a way of graphing a linear equation on a coordinate plane.
{(-1, 2), (0, 1), (1, 2), (4, 5)}.
Answer: 15 hours and 37 minutes
Step-by-step explanation: 6 and 1/2 hours is 6 hours and 30 mins
8 and 2/3 hours is 8 hours and 67 mins
So 8 hours + 6 hours is 14 hours
Since 67 minutes is over an hour, we're going to take 60 minutes from 67, leaving u with 7 minutes
Add the 60 minutes to the 14 hours and you get 15 hours.
Take the 7 minutes and add it to the 30 minutes and you get 37 minutes.
All together the answer is 15 hours and 37 minutes
I am pretty sure your correct answer is 3380.
