Answer:
$17,321.43
Step-by-step explanation:
The amount of monthly income from commissions would have to be ...
$2100 -975 = $1125
This is 7% of sales over $1250, so the sales (s) would need to be ...
1125 = 0.07(s -1250)
1125 = .07s -87.50 . . eliminate parentheses
1212.50 = 0.07s . . . . add 87.50
17,321.43 = s . . . . . . . divide by 0.07
He would have to sell $17,321.43 in a month if he needed an income of $2100.
Answer:
–√(7) must also be a root of f(x)
Step-by-step explanation:
Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:
f(x) = (x – 3)(x² – 7)
This is because we are dealing with √(7) and what brought about √(7) was x² = 7.
If this is the case, we know that x² = 7 will give
x = ±√(7)
Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).
Answer:
The found values are:
A = 1/3
B = -8/3
Step-by-step explanation:
We know that general equation is given by:
y = mx + c
where m is the slope and c is a constant.
x + 3y = -5
y = -(1/3)x - 1/3(5)
Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:
Ax + By = 3
By = -Ax - 3
By = (1/3)x - 3
Hence, A = 1/3
Substitute point (-7,2) into the equation:
B(2) = (1/3)(-7) -3
B(2) = -7/3 - 3
B(2) = -16/3
B = -16/6
B = -8/3
He will receive $30,641.85 = $30,176 + $465.85 (tax excess payment)
Since his filing status is single, he'll be taxed based on the single tax rate schedule. <span>10% for <span>$1 to $9,325. </span></span><span>15% for <span>$9,326 to $37,950.
9,325 x 10% = 932.50
30,176 - 9325 = 20,851 x 15% = 3,127.65
His total tax is 3,127.65 + 932.50 = 4,060.15; Since he paid 4,526 in federal taxes, 4,526 - 4,060.15 = 465.85 will be reimbursed.
Add his taxable income and the reimbursement to get the total amount he will receive for that year.
$30,176 + $465.85 = $30,641.85</span></span>
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i think-
