Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000
Since the catering fee of $150 is waived, we do not consider this figure in our analysis
There is a constant which is the venue costs of $2,000 and a variable cost of $80 per guest for the reception.
Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:
80X + 2,000 = 10,000 (Since the total budget for the wedding is $10,000)
80X = 8000
8X = 800
X =100
Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget
Answer:
a)

Step-by-step explanation:
The y intercept of g(x) is the value of g when x = 0.
In this problem

The y-intercept is

a)

The y-intercept is:

This is the correct answer
b)

The y-intercept is

This is an asymptote
c)

The y-intercept is

d)

The y-intercept is
[tex]f(0) = |0-4| = |-4| = 4.
Answer:
251.2 unit²
Step-by-step explanation:
Radius = 4 unit, height = 5 unit
Volume of cylinder = pi r² h
Where pi(#) = 3.14
Volume = # × 4² × 5
Volume = # × 16 × 5
Volume = 80# unit²
Volume = 80 × 3.14
Volume = 251.2 unit²
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After 5 s, the particle traverses a path subtended by an angle of
(3π/4 rad/s) (5 s) = 15π/4 rad
Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:
15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm