Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
Who is Ben and Arthur? I’m sorry, I’m not with the trends. And investing early is important, coming for a young entrepreneur like myself.
Answer:
Step-by-step explanation:
So in this example we'll be using the difference of squares which essentially states that:
or another way to think of it would be:
. So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

So completely factored form is: 
I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because
. and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes:
just something that might be useful in some cases.
Answer: 0.5
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Answer:
A

B

C
A year has (4 × 12) weeks
= 48 weeks.
In 1 week = 9,568,000 movies
48 weeks = (48 × 9,568,000) movies
Average movies = 459.264 movies
D
<em>Since</em><em> </em><em>9</em><em>.</em><em>5</em><em>6</em><em>8</em><em> </em><em>million</em><em> </em><em>movies</em><em> </em><em>are</em><em> </em><em>rented</em><em>.</em>
<em>How</em><em> </em><em>about</em><em> </em><em>in</em><em> </em><em>one</em><em> </em><em>year</em><em> </em><em>(</em><em> </em><em>4</em><em>8</em><em> </em><em>weeks</em><em> </em><em>)</em>
<em>Convert</em><em> </em><em>1</em><em> </em><em>year</em><em> </em><em>to</em><em> </em><em>weeks</em><em> </em><em>and</em><em> </em><em>compare</em><em> </em><em>with</em><em> </em><em>1</em><em> </em><em>week</em>