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3 years ago

For every sale of $50, a company pays its salesperson an incentive of $5.

Mathematics

1 answer:

Elina [12.6K]3 years ago

3 0

5/50 is 1/10. This is the same as 10/100 so it is 10%.

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For the period 1997-2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y=-0.2

Viktor [21]

Answer:

Part a) The approximate years were 1998 and 2008

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) we have

$y=-0.27x^{2}+3.3x+77$

For $y=80\ billion\ eggs$

Solve the quadratic equation

$80=-0.27x^{2}+3.3x+77$

$0.27x^{2}-3.3x+3=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$0.27x^{2}-3.3x+3=0$

$a=0.27\\b=-3.3\\c=3$

substitute in the formula

$x=\frac{3.3(+/-)\sqrt{-3.3^{2}-4(0.27)(3)}} {2(0.27)}$

$x=\frac{3.3(+/-)\sqrt{7.65}} {0.54}$

$x=\frac{3.3(+)\sqrt{7.65}} {0.54}=11.23\ years$

$x=\frac{3.3(-)\sqrt{7.65}} {0.54}=0.99\ years$

therefore

The approximate years are

1997+11=2008

1997+1=1998

Part b)

Using a graphing tool

we have

$y=-0.27x^{2}+3.3x+77$

$y=80$

The solution of the system of equations is the intersection point both graphs

The intersection point are (0.99,80) and (11.23,80)

see the attached figure

therefore

The solution part a) is correct

3 0

3 years ago

In the 1996 presidential election, Bill Clinton and Bob Dole together received 538 electoral votes. Clinton received 220 more vo

Korvikt [17]

Answer:

Step-by-step explanation:

Bill + 220

Total is 538 so subtract 220 which gives you 318.

318/2 = 159

159+220 for Bill = 379

Bob has 159

Add 159 + 220 for Bill and 159 for bob = 538

So Bill has 379

and Bob has 159

6 0

3 years ago

On a string of red and blue lights, the red lights blink everyb3 seconds, and the blue lights blink every 5 seconds. How many ti

yuradex [85]

When will they blink together?
what is the smallest number they both mutiply to
3*5=15
so every 15 seconds
so at 15, 30, 45, 60 seconds
so 4 times if you count the time exactly at 1 minute

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3 years ago

Pivot question for final

ruslelena [56]

Answer:

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Step-by-step explanation:

7 0

3 years ago

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-4x + 8 > 12 inequality solution ?

BARSIC [14]

Answer:

x<-1

Step-by-step explanation:

-4x+8>12

-4x>12-8

-4x>4

x>4/-4

x>-1

x<-1

6 0

3 years ago