1. The slope-intercept form of a line is shown below.

You receive two job offers. One offers a straight commission of 6% of sales. The other offers a salary of $500 per week plus 3%

Gnesinka [82]

Answer: $16, 666.67

Step-by-step explanation:

Job 1: 0.06x

Job 2: 0.03x + 500

0.06x > 0.03x + 500

-0.03x -0.03x

0.03x > 500

÷0.03 ÷0.03

$x > \dfrac{50000}{3}$

x > 16,666.67 rounded to the nearest penny

4 0

2 years ago

on day in the fall, mark raked the leaves on 5 peoples lawns in 2.5 hours. one day in the summer, he mowed 6 peoples lawns in 1.

GuDViN [60]

Assuming he works at a constant rate, the daily rate Mark rakes lawns in the fall is 40% of the daily rate he mows lawns in the summer.

<h2>Step-by-step explanation: </h2>

Fall:

5 neighbors' lawns / 2.5 hours = 2 lawns per hour

Summer:

6 neighbours' lawns / 1.2 hours = 5 lawns per hour

2 x 100% / 5 = 40%

2 is 40% of 5

8 0

3 years ago

If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func

nadya68 [22]

Answer:

a) C(1,000)=288,491.11 $

b) c(1,000)=288.49 $/u

c) dC/dx(1,000)=349.74 $/u

d) x=100 u

e) c=220 $/u

Step-by-step explanation:

(a) Find the total cost at a production level of 1000 units.

$C(x) = 2,000 + 160x + 4x^{3/2}\\\\C(1,000)=2,000 + 160(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=2,000+160,000+126,491.11= 288,491.11$

(b) Find the average cost at a production level of 1000 units.

$c(x)=C(x)/x\\\\c(1,000)=C(1,000)/1,000=288,491.11/1,000=288.49$

(c) Find the marginal cost at a production level of 1000 units.

$\frac{dC}{dx} =0+160+4*(3/2)x^{3/2-1}=160+6x^{1/2}\\\\dC/dx|_{1,000}=160+6*(1,000)^{1/2}=160+189.74=349.74$

(d) Find the production level that will minimize the average cost.

$c=2,000x^{-1}+160+4x^{1/2}\\\\dc/dx=2,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\-2,000x^{-2}+2x^{-1/2}=0\\\\2x^{-1/2}=2,000x^{-2}\\\\x^{-1/2+2}=1,000\\\\x^{3/2}=1,000\\\\x=1,000^{2/3}=100$

(e) What is the minimum average cost?

$c(x) = 2,000/x + 160 + 4x^{1/2}\\\\C(100)=2,000/100 + 160 + 4(100)^{1/2}=20+160+40=220$

5 0

2 years ago

Solve : 3x - 3 = 2x if you can show workings that would be great thank you !

Diano4ka-milaya [45]

Answer:

3

Step-by-step explanation:

3x-3=2x

3x-2x=3

x=3

5 0

2 years ago

Read 2 more answers

The height and length of a right rectangular prism are each 12 cm. The surface area of the prism is

RideAnS [48]

Answer:

99

Step-by-step explanation:

8 0

2 years ago