Answer:
6% , 800$
Step-by-step explanation:
to answer the question we can use this proportion :
x : 100 = 30 : 500
x = (100*30)/500
x = 6%
for calculate the amount after 10 years we can use this formula
A = P(1+rt)
where P indicates the initial amount, r the rate (in decimal) and t the time of investment
A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $
To factor both numerator and denominator in this rational expression we are going to substitute

with

; so

and

. This way we can rewrite the expression as follows:

Now we have two much easier to factor expressions of the form

. For the numerator we need to find two numbers whose product is

(30) and its sum

(-11); those numbers are -5 and -6.

and

.
Similarly, for the denominator those numbers are -2 and -5.

and

. Now we can factor both numerator and denominator:

Notice that we have

in both numerator and denominator, so we can cancel those out:

But remember than

, so lets replace that to get back to our original variable:

Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is


Answer:
<h3>28</h3>
Step-by-step explanation:
Area of a square =

Perimeter =

Where s = side
Solve for s using the area

Find the perimeter

x=-6+2y
x=2+2y
by subtraction
___________________________
x=-8
Substitute x by one of the two equations :
x=-6+2y
-8=-6+2y
2y=-8+6
2y=-2
y=-2/2
y=-1
I think this is the answer
I hope I helped you^_^