10=x square root plus 2x minus 15
1 answer:
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This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
Answer:
$1529.8
Step-by-step explanation:
Given:
Tammy has a job that has a weekly salary of $1,200.
But wants to switch a job that has a monthly salary of $11,700
Question asked:
How much more will she make per week if she switch to the new job?
Solution:
Monthly salary of a new job, she wants to switch = $11,700
Weekly salary of a new job, she wants to switch = ?
As we know : 1 month = 4.286 Weeks
Salary of 1 month for a new job, she wants to switch = $11,700
Salary of 4.286 Weeks for a new job, she wants to switch = $11,700
Salary of 1 Week for a new job, she wants to switch =
Now, we have to find that How much more she will make per week, if she switch to the new job.
More money she will make for a new job she wants o switch = Weekly salary for a new job, she wants to switch - Weekly salary of current job
More money she will make, for a new job = $2729.8 - $1200 = $1529.8
Therefore, she will make $1529.8 more per week if she switch to the new job.