1200x + 360(x - 10) = 33,840
1200x + 360x - 3600 = 33,840
1560x - 3600 = 33,840
1560x = 33,840 + 3,600
1560x = 37,440
x = 37,440 / 1560
x = 24..... main level seats cost $ 24 <==
balcony seats cost (24 - 10) = $ 14 <==
X=13
I had just taken a test and that is the correct answer
Answer:
<em>In the second group the individual members received a larger fraction of the prize money</em>
Step-by-step explanation:
<u>Division by Sharing</u>
A certain amount M can be evenly split among n parties by performing a division M/n.
The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.
The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.
By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.
We can conclude in the second group the individual members received a larger fraction of the prize money
We have this equation:
First, combine both logarithms using the multiplication property and simplify the expression.
Now, use the definition of logarithm to transform the equation.
Finally, use the quadratic formula to solve the equation.
With this, we can say that the solution set is:
We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.
Answer:
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71
Explanation:
The sales are given by f(x) = 24.96x and the cost are represented by g(x) = 0.04x² + 4x + 71.
Then, the profit is equal to
p(x) = f(x) - g(x)
p(x) = 24.96x - (0.04x² + 4x + 71)
p(x) = 24.96x - 0.04x² - 4x - 71
p(x) = -0.04x² + 20.96x - 71
Therefore, the answer is
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71