Answer:
Sam initially made 45 bread rolls
Step-by-step explanation:
Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =
2x/5 bread rolls to his neighbor.
The remainder would be x - 2x/5 =3x/5
He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45
=4x/15
He has 15 bread rolls left
Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor
x = 15 + 4x/15 + 2x/5
Taking LCM of 15 and cross multiplying
15x= 225+4x + 6x
15x = 225 +10x
15x-10x = 225
5x = 225
x = 225/5 =45
Sam initially made 45 bread rolls
we have been asked to find the sum of the series

As we know that a geometric series has a constant ratio "r" and it is defined as

The first term of the series is 
Geometric series sum formula is

Plugin the values we get

On simplification we get

Hence the sum of the given series is
Option C:

Solution:
Given expression: 2 ln 8 + 2 ln y
Applying log rule
in the above expression.
⇒ 
Applying log rule
in the above expression.
⇒ 
We know that 
⇒
Hence, the expression in single natural logarithm is
.
Answer:
3
Step-by-Step explanation: