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.
A late assignment is very much like a late payment on a credit card bill. If you lose 10 points for every day that an assignment is late and you have to pay a fee for however many days you forgot to pay the bill, (you are losing money for having to pay an extra fee). If you start the habits of turning in assignments in late. Those habits will be carried with you into adulthood and you will owe a sum of money since you have failed to pay a bill on time. You will lose points for late work and you will lose money for late bills.
Angles in a triangle add up to 180 degrees.
All angles in an equilateral triangle have equal values
Both angle x and y equal 60 degrees.
I just found 10% of it, which is 14, then found 5% of it through the previous work, which is 7
then i multiplied 7 by 11, because 55/5 is 11, so 55% of 140 is 77
The volume of a sphere = 4πr^3/3<span>
The volume of a half of sphere = 2</span>πr^3/3 = 2 π (27)/3 = 18π<span>
</span>The volume of a cone= π r^2 h/3 = π (9)(8)/ 3 = 24 π
Total volume = 18 π + 24π = 42π = 42 x 3.14 = 131.9 cm^3
