Tyler’s brother earns $12 per hour. The store offers him a raise— a 5% increase per hour. After the raise, how much will Tyler’s
2 answers:
Answer: $12.60
Step-by-step explanation:
We are given that , Tyler’s brother earns $12 per hour.
Also, The store offers him a raise— a 5% increase per hour.
it means there is an 5% increase in his earnings.
Now, Increase in earnings per hour = 5% of $12
⇒Increase in earnings per hour = $0.60
Now, After the raise, Tyler’s brother will make per hour= Previous earnings + Increase in earning
= $12 + $0.6= $12.60
Hence, After the raise, Tyler’s brother will make $12.60 per hour.
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Answer:
Proved
Step-by-step explanation:
From the given parameters, we have:
i.e. the length of each security numbers
i.e. 2 security numbers
Required
In 513 security numbers, 2 must have matching zeros
To do this, we make use of Pigeonhole principle.
First, we calculate the number of all security numbers not having matching zeros.
Each of the 9 digits can be selected in 2 ways.
2 ways implies that each digit is either 0 or not
So, total selection is:
Apply Pigeonhole principle
The principle states that: suppose there are n items in m containers, where , then there is at least one container that contains more than 1 item.
This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.