A salesperson set a goal to earn $3,000 in July. He receives a base salary of $1,200 per month as well as a 10% commission for a
2 answers:
Answer:
$18,000
Step-by-step explanation:
Target is 3000, out of which 1200 will already be earned from salary. So he needs 3000 - 1200 = 1800 from commissions.
As we know, 10% is the commission rate, we need to know <u><em>"Which numbers' 10% will give us 1800??"</em></u>
Thus let total sales be x, so we can write 0.1x=18,000
Solving gives us:
He needs to sell $18,000 worth of merchandise to meet his income target for July.
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Answer:
Step-by-step explanation:
2x³+ 6x² - x - 10 = 0
(1) Possible roots
The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
In your function, the constant term is -10 and the leading coefficient is 2, so
Factors of 10 = ±1, ±2, ±5, ±10
Factors of 2 = ±1, ±2
(2) Synthetic division
Rather than work through all 12 possibilities, I will do one that works.
So, x = -2 is a root, and the quotient is 2x² + 2x - 5.
(3) Check for other rational roots
2x² + 2x - 5 = 0
D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44
√44 = 2√11, which is irrational.
Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.