Answer:
Answer is C.
Step-by-step explanation:
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Let
x-------------> amount added <span>to each side
</span>A-------------> area increased----------> 84 ft²
we know that
A=(10+x)*(5+x)=84-----------> 10*5+10*x+5*x+x²
50+15x+x²=84----------> x²+15x-34=0
<span>solving the second order equation
</span>x1=-17
x2=2
the answer is x=2 ft
Answer:
5
Step-by-step explanation:
If a population is decreasing by 8% we can multiply the population by 92% (1-.08)
which means we have the following equation
population=15000(.92)ⁿ
where n is the number of years
we want to know when the population will be 10,000 so we write
10,000=15,000(.92)ⁿ
.66667=.92ⁿ
a rule we have is

which means that

compute this and get
4.867
round this up to 5
Answer:
IV
Step-by-step explanation:
Answer: 28.26
Step-by-step explanation:
What your looking for is called the annulus (or the difference of two concentric circles). You can find the annulus by subtracting the area of the inner circle from the area of the outer circle. Volume of a circle= πr²
You are given the diameter in these problems, so you need radius.
For the first circle (8 in one) :
8/2=4 r=4
A=3.14(4)²
A=50.24
For the second one (10 in one) :
10/2=5 r=5
A=3.14(5)²
A=78.5
To find the measure of the annulus, you subtract those numbers, getting 28.26