Answer:
Step-by-step explanation:
The initial scenario is a specific case of the subsequent one, so we will address the second case first.
Consider 
. Through the utilization of derivatives and trigonometric function properties, it is determined that
The equation is represented as 
. It's important to note that since 
it leads to the equation
,
which signifies that 
. Consequently, 
It's notable that in this instance, the value of k is independent of A and B. Thus, it applies universally to any values of A and B. The first scenario is included since it corresponds to A=0 and B=1.
Answer: A total descent of 8260 feet occurred for all four balloons.
Step-by-step explanation:
Based on the information provided:
Number of hot air balloons = 4
Minutes of descent = 7
Descent rate per minute = 295 feet
Thus, the overall change in altitude for all four balloons can be calculated as:
Thus, a total descent of 8260 feet was experienced by the four balloons.
To solve this problem, you'll need to create two equations:
x + y = 155 (total packages)
3x + 8y = 815 (total weight)
Next, multiply the first equation by 3: 3x + 3y = 465.
Then, subtract the first equation from the second to find that 5y = 350, which means y = 70. Thus, there are 70 packages that weigh 8 pounds.
Hi there!
While there are no answer choices provided, here's how you can solve a problem like this.
To find the average of two numbers, you simply sum them up and divide by two!
For instance, to find the midpoint between 1 and 3, you add 1 and 3 to get 4, then divide by 2 which results in 2!
For 100 and 580, adding gives you 680, and dividing by 2 results in 340!
The average between 0.57 and 0.69 involves adding to get 1.26, then dividing by 2 yields 0.63!
Now, with percentages, for 45% and 67%, the addition gives you 112%, and dividing that by 2 will result in 56%!
So, for your answer options, just calculate the total and divide by two to determine which one results in 76%!
I hope this information helps!
Answer:
13%
Detailed breakdown:
Information provided:
- MP = 2080
- Discount = d%
- VAT = (d-2)%
- Cost = 1997.84
Applying the discount:
- 2080 - d% = 2080*(1 - 0.01d)
Including VAT:
- 2080*(1 - 0.01d) + (d - 2)%
- 2080*(1 - 0.01d) * (1 + (d -2)/100)
- 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
- (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
- 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
- 0.0001d²- 0.0002d - 0.0195 = 0
- d² - 2d + 195 = 0
Solving this quadratic equation yields:
Therefore
