Answer:
The answer is 358.01
Step-by-step explanation:
Given:
Now, to solve first we crack the power notation then multiply and then do the addition:
(The value of 
is 10 and the value of 
is 1.)
.
Therefore, the answer is 358.01 .
Answer:
40
Step-by-step explanation:
75% divided by 3 since its 3/4 of 100
do the same to 30
First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now
2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4
At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real.
Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result.
For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196
No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.
So x^2 = -4 has no real solutions. Taking the square root of both sides leads to
x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values
Let's compare the cost of both the centers.
<u>Cost of Center A:</u>
One time charge of $495 in one year.
<u>Cost of Center B:</u>
- Flat $25 dollar sign up fee
- $15 per month, so
dollars a year - $5 per aerobic class, so
dollars a year (given that Billy goes to class once a week) (<em>Note: There are 52 weeks in a year</em>)
Total cost = 
dollars
Hence, Center B would cost 
dollars cheaper.
ANSWER: Least expensive club for Billy to use for a year is Center B
We let x be the length (in minutes) of a certain science class. 65% of this period is spent with the experiment which lasted for about 52 minutes. Mathematically, this can be expressed as,
52 = (0.65)(x)
The value of x from the generated equation is 80. Thus, the science class is 80 minutes long.
