Answer:
Rewrite the function as an equation.y=−x/ 3+ 8
y=-x3+8
Rewrite in slope-intercept form. y = −1/3x+8. Use the slope-intercept form to find the slopeand y-intercept. Slope: −1/3 intercept: (0,8)(0,8) Find the values of mm and bb using the form y=mx+b
Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values. Graph the line using the slope and the y-intercept, or the points.Slope: −1/3
y-intercept: (0,8)
Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°
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>
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let 
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 
. From this information we can gather that the cost function for this factory is,
On the other hand, if we let be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,
Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that
The company has to sell 134 750 units to break even.
