Step-by-step explanation:
Using synthetic division of polynomials 3x⁴-2x²+4x+9÷x+2. Rewrite the dividend as 3x⁴+0x³-2x²+4x+9
2 | 3 0 -2 4 9
| 6 -12 20 -32
3 -6 10 -16 41
So the quotient is 3x³-6x²+10x-16 with a remainder of 41
Therefore, 3x³-6x²+10x-16+(41/x+2)
When the base salary was $400 with 5% commission gross pay was $893.00
When the base salary increased by 6% with 5% commission gross pay was $917.00
When base salary was $400 and the commission increased to 15% gross pay was $1,879.00
What is the gross pay of Nick Antonelli?
The gross pay is the base salary of $400 plus 5% of all his sales
base salary=$400
sales revenue=$9,860
5% of all sales=5%*$9,860
5% of all sales=$493.00
gross pay=$400.00+$493.00
gross pay=$893.00
What is the new base salary with a 6% increase?
new base salary=$400*(1+6%)
new base salary=$424.00
5% of all sales=$493.00
gross pay=$424.00+$493.00
gross pay=$917.00
What is the new commission rate with a 10% increase?
The new commission rate is 15%(10%+5%)
new commission=15%*$9860
new commission=$1,479
gross pay=$400+$1479
gross pay=$1,879.00
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The answer would just be 50/1 or just 50
Answer:
1. -8x² - 16x - 6 a = -8, b = -16, c = -6
1. 4x² - 1 a = 4, b = 0, c = -1
Step-by-step explanation:
use the 'foil' method:
(4x + 2)(-2x - 3)
F: -8x² O: -12x I: -4x L: -6
-8x² - 16x - 6
(2x + 1)(2x - 1)
F: 4x² O: -2x I: 2x L: -1
4x² - 1
Answer: The answer is 381.85 feet.
Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.
This situation is framed very nicely in the attached figure, where
BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?
From the right-angled triangle WGB, we have
and from the right-angled triangle WAB, we have'
Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.
Thus, the height of the building across the street is 381.85 feet.
