A swimming pool can be filled by either or both of two pipes of different diameters. it takes the smaller pipe twice the time th
2 answers:
<h2>By large pipe only it will take 319.5 hours to fill the pool. </h2>
Step-by-step explanation:
Let r₁ be the rate of filling of small pipe, r₂ be the rate of filling of large pipe and V be the volume of swimming pool.
If both pipes are combined it takes 213 hours, that is
Now we need to find how much time it takes to fill the pool by large pipe,
That is
By large pipe only it will take 319.5 hours to fill the pool.
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Answer:
Yes, it is invertible
Step-by-step explanation:
We need to find in the matrix determinant is different from zero, since iif it is, that the matrix is invertible.
Let's use co-factor expansion to find the determinant of this 4x4 matrix, using the column that has more zeroes in it as the co-factor, so we reduce the number of determinant calculations for the obtained sub-matrices.We pick the first column for that since it has three zeros!
Then the determinant of this matrix becomes:
And the determinant of these 3x3 matrix is very simple because most of the cross multiplications render zero:
Therefore, the Det of the initial matrix is : 4 * 3 = 12
and then the matrix is invertible
An income is taxable is such income falls into a category where a proportion of the income is removed, as tax. To have an extra $5000 after tax, Tara must save $6173.
Given that:
--- normal earnings
---- the amount needed
From the complete question, the tax rate for earnings between $18201 and $37000 is 19%.
Let the additional amount be x.
So, the equation that calculates the amount needed (after tax) is:
Express as decimal
Make x the subject
Hence, she needs to make an extra of $6173 to save $5000
Read more about taxable income at: