Traveling on the express train from New York to Baltimore takes approximately 2 hours and 45 minutes. The local train travels th
2 answers:
Answer:
The local train's journey time is 1.3 times as long as the journey time of the express train.
Step-by-step explanation:
Given that:
Travelling time of express train = 2 hours and 45 minutes
We will convert this time into minutes
Travelling time of express train = 2*60 + 45 = 120+45 = 165 minutes
Travelling time of local train = 3 hours and 40 minutes = 220 minutes
Let,
n be the number of times.
Local train travelling time = Number of times * Express train travelling time
220 = n * 165
Dividing both sides by 165
Hence,
The local train's journey time is 1.3 times as long as the journey time of the express train.
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35.A
36.C
37.B
38.B
39.D
Step-by-step explanation:
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This is a growth exponential equation.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.
The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.
Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L
= 100 + (n - 1)*0.02*100
L
= 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.
The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.
Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L
L
By compounding she makes a whole 0.87$ more.
You can take x = a, 2y = b and then can apply the binomial theorem.
The expansion of given expression is given by:
Option D: is
It provides algebraic expansion of exponentiated(integer) binomial.
According to binomial theorem,
Taking a = x, and b =2y, we have n = 7, thus:
Thus, Option D: is correct.
Learn more about binomial theorem here: