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Colt1911 [192]
2 years ago
8

Pls help me with my math

Mathematics
1 answer:
andriy [413]2 years ago
8 0

Answer: -5 < x < 3

Step-by-step explanation:

Subtract 6 from both sides of the equation (-4 and 12, with a result of -10 < x < 6) and then divide by two on both sides (with the result being the answer.

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A salesperson earned a salary of $12000 per year plus 5% commission on sales of $100000. What is his total income
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If im doing right....

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-Seth


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In sale the normal price is reduced by 10% Nathalie bought a pair of shoes in the sale of 54 whats the original price
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$59.40 was the original price for the shoes

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

5 0
3 years ago
the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt
zhuklara [117]
Suppose:
C=cost
c=cost per kilo-watt hour
w=number of watts
h=number of hours
thus
C=kwhc
where:
k=constant of proportionality:
k=C/(whc)
but
C=15 when w=6000, h=10/60=1/6 hours, c=7.5 cents per kw/h
thus
k=15/(6000*1/6*7.5)
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thus:
C=0.002(whc)
hence:
when 
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C=0.002(6000*70/3*7.5)
C=2100 cents
C=$21

7 0
4 years ago
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