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Lesechka [4]
3 years ago
7

Vanessa earns a base salary of $400.00 every week with an additional 5% comission on everything she sells.Vanessa sold $1650.00

worth of items last week.
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
She earned $82.50 in commission & $482.50 total gross pay
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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
How many are 5 raised to 4 ???​
Licemer1 [7]

Answer:

625

Step-by-step explanation:

5⁴ = 5x5x5x5 = 625

4 0
3 years ago
It’s either ur good at math or pretty I guess god said be pretty
SashulF [63]

Answer:

55

Step-by-step explanation:

9x + 1 = 7x + 13

x = 6

UW = 42+13

= 55

The two triangles are of congruent (SAS)

4 0
3 years ago
9decimals with 3 decimal places when rounded to the nearest hundredth round to 4.56.
suter [353]
? 123456.789 ?????

then round2(123456.789)

=123456.79
6 0
3 years ago
Read 2 more answers
Quizzz please help !
maw [93]

Answer:

it costs 2 dollars :)

Step-by-step explanation:

8 0
3 years ago
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