Answer:
89 is the maximum number of guests that can be invited within budget .
Step-by-step explanation:
The cleaning charges = $55
Total budget available = $3350
Cost per guest = $37
Now, actual budget available for guest = Total budget - Cleaning Fee
= $3350 - $ 55 = $3,295
Now, cost per head =$ 37
So, number of guests (n) possible in the budget
⇒ n = (Total guest Budget)/ Cost per head
= $3,295 / $37 = $89.05
or, n = $89.05
So, 89 is the maximum number of guests that can be invited within budget .
Step-by-step explanation:

this is the answer
Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Step-by-step explanation:
16.2 = 2.7(h+1)
2.7(h+1) = 16.2
(h+1) = 16.2 ÷ 2.7
h+1 = 6
h = 5