Answer:
y = -3x^2 + 4
Look below for more information
Step-by-step explanation:
y = 3x^2 - 4
Everything is wrong about this answer. The slope is actually a negative and the y-intercept is suppose to be a positive
y = -3x^2 - 4
Only the y-intercept is wrong here because the graph is going 4 units up instead of 4 units down
y = -3x^2 + 4
This is the correct answer! The slole is negative and the y-intercept is a positive
y = 3x^2 + 4
The slope is wrong but the y-intercept is correct!
Therefore, our answer is the third option: y = -3x^2 + 4
Answer:
isnt it 41
Step-by-step explanation:
10.) The realized income each week is $79.87.
Add both payments and tips then deduct the tax deductions (multiply the rates to the gross income per week).
Gross income per week: (4.70 + 3.85) x 13hrs = 111.15
Tax deductibles: 8.50 (FICA) + 13.67 (federal tax) + 9.11 (state tax) = (31.28)
Realized income per week: 111.15 - 31.28 = 79.87
11.) The value of the stocks in its second year is $1,340.75.
Multiply the investment by the percentage increase, then add the result to the investment. You can also use this formula = investment x (1 + %)
First year: 1,050 x (1 + 0.13) = 1,186.50
Second year: 1,186.50 x (1 + 0.13) = 1,340.75
12.) a. The total value of your stocks after 2 years is $2,046. Use <em>investment x (1 - %)</em> in computing the decreases while <em>investment x (1 + %)</em> in computing the gains.
First year: 2,000 x (1 - 0.07) = 1,860
Second year: 1,860 x (1 + 0.10) = 2,046
b. The balance in your savings account after 2 years is $2,150.74. Use this formula = investment x (1 + rate)^number of years
Balance = 2,000 x (1 + 0.037)^2 = 2,150.74
13.) Your question is incomplete.
X= 8.99981500..................
Answer:
1 plane either on the runway or waiting to take off
Step-by-step explanation:
We are given;
Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute
Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes
Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes
To solve this question, we will use Little's law which is given by the formula;
System inventory = rate of flow × throughput time
Now, rate of flow is the same as Frequency of take off.
Thus, rate of flow = 0.2 planes per minute
Throughput time = Waiting time on runway + Run time on runway
Thus;
Throughput time = 5.9 minutes + 0.4 minutes
Throughput time = 6.3 minutes
Thus;
System inventory = 0.2 × 6.3 = 1.26 planes
Thus is approximately 1 plane.