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Molodets [167]
3 years ago
15

A salesperson earns $300.50 per week plus 7% of her weekly sales. Which of the following describes the sales necessary for the s

alesperson to earn at least $900.85 in one week?
A. x is greater then or equal to 900.85
B. x is greater then or equal to 8576.43
C. x is greater then or equal to 600.35
D. x is greater then or equal to 17162.14
Mathematics
2 answers:
lys-0071 [83]3 years ago
6 0
300.50 + 0.07(8576.43) > = 900.85
300.50 + 600.35 > = 900.85
900.85 > = 900.85 (correct)

so x is greater then or equal to 8576.43
alukav5142 [94]3 years ago
5 0

salesperson earns $300.50 per week plus 7% of her weekly sales .To have the sales necessary for the salesperson to earn at least $900.85 in one week we can form an inequality equation. Let x denote his weekly sales.

300.50+7% x ≥ 900.85

Subtracting 300.50 both sides:

7%x≥ 600.35

0.07x ≥ 600.35

Dividing both sides by 0.07

x≥8576.428

Option B . x is greater then or equal to 8576.43 is the right answer.


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Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

f(x)=x^{2}+8\:over\:[-1,4]

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f(0)=(0)^2+8\\f(0)=8

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3 years ago
Need help desperately T~T
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As you can see, angle 5 and angle 6 are supplementary.  And angle 5 and angle 3 are congruent because they are alternate interior angles.  

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x+2 = 180- x+3 
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x= 90.5

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Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

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sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

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β = sin⁻¹(0.741)

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Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
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