Enter the correct number 1/5 of 35 bottles of water =
2 answers:
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It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
.
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
, so that 
. Then
which simplifies to
Now, recall that
. But we want the substitution we made to be reversible, so that
which implies that
. (This is the range of the inverse sine function.)
Under these conditions, we have
, which lets us reduce 
. Finally,
and back-substituting to get this in terms of
yields
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
which simplifies to
Now, recall that
which implies that
Under these conditions, we have
and back-substituting to get this in terms of
Answer:
$871068.25
Step-by-step explanation:
Given the base of starting the business is $54300 and the total sale after the business is $950000.
Therefore, the profit of the business is $(950000-54300) = $895700.
Now, the commission has to be deducted from the profit at the rate of 2.75% of the profit.
Hence, total profit of the business is given by
895700 [1 - ] = $871068.25 (Answer)