For this scenario, we can define:
Where,
d represents distance
v signifies speed
t indicates time
Rearranging to find time gives us:
The total driving duration is half an hour:
Rearranging for d results in:
Conclusion:
she lives 18 miles from the store
Step-by-step explanation: Since the number P(t) increases proportionally to the number of individuals unaware of the product, we establish that initially, nobody is aware of the product at the campaign's start and that 50% are aware after 50 days of advertisements. Thus, we determine: P(0) = 0 and P(50) = 1,500,000, leading to a first-order ordinary differential equation. The integrating factor must be calculated and both sides of the equation manipulated accordingly. Hence, upon integrating and solving, we arrive at the equation modeling the number of people (in millions) aware of the product over time.
15Step-by-step explanation: If she consumes 3 cups every hour and the hike lasts for 5 hours (3 x 5 = 15), she will need a total of 15 cups of water, not just 12.
Answer:
Morgan, Dakota, and Taylor demonstrated their calculation for the problem 7x + 5x + 1 = 73. Point out which student made an incorrect initial step and explain your reasoning. Morgan: 7x + 5x + 1 = 73 12x + 1 = 73 Dakota: 7x + 5x + 1 = 73 7x + 6x = 73 Taylor: 7x + 5x + 1 = 73 7x + 5x = 72
Step-by-step explanation:
The initial value stands at 20,300, decreasing annually by 9.5%.
Given that it decreases by 9.5% each year based on the preceding amount, we can apply an exponential decay model.
A 9.5% reduction means multiplying by 91.5% every year.
We express this mathematically. Plugging in 11 years for t yields.
$7,671.18
