Answer this multiple choice question for 30 points and !

Step-by-step

To answer this question, we can simplify each expression and then substitute n.  

If you use a calculator, you can just plug-in n=2 to see which one is the greatest.

A. n^5*n^2/n^4 = n^(5+2-4) = n^3

B. n^2*n^3/n = n^(2+3-1) = n^4

C. (n^2)^3/n = n^(2*3-1) = n^5

D (n^5)^2/n^4 = n^(5*2-4) = n^6

As long as n>1, the higher power n has, the larger is the number.

Therefore (n^5)^2/n^4 = n^(5*2-4) = n^6 is the winner!

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get

we can set up an equation to find the girls' ages. the equation is         28=0.5x-5+x. (comment if you need me to explain how i got this equation.) so, you add x and 0.5x to get 1.5x and add 5 to each side. your new equation is 33=1.5x. now divide both sides of the equation by 1.5 to get 22=x. because x is mary's age, to find jasmine's age we subtract mary's age from 28. we find that mary is 22 years old and jasmine is 6 years old.