X = # of perfomances
y = total amount of money
Income: y = 7500x
Expense: y = 5900x + 88000
Substitution:
7500x = 5900x + 88000
1600x = 88000
x = 55
y = 7500(55) = $412,500
55 performances are needed to break-even.
Answer:
APY = 0.04 or 4%
Step-by-step explanation:
Given the annual percentage rate of 3.5% that is compounded quarterly, and a principal of $6,500:
We can use the following formula to solve for the annual percentage yield (APY):
where <em>r</em> = interest rate = 3.5% or 0.035
<em> n</em> = number of compounding periods per year = 4
We can plug in the values into the equation:
APY = 1.03546 - 1
APY = 0.04 or 4%
Answer:
x=0.8
Step-by-step explanation:
-5x + 4= 0
-4 -4
-5x=-4
÷5
-x=-0.8
x=0.8
Half of 9 1/4 is 4 5/8 or 37/8
Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
