Answer:
together they rake 
leaves in one minute.
Step-by-step explanation:
If Maya takes x minutes to rake, then in one minute, she rakes 
leaves.
For Carla, if her raking takes y minutes, in one minute she rakes 
leaves.
Thus, to find the amount they work together in one minute, we add both of their contributions for that minute, resulting in: 
Finally, simplifying this expression gives:
As a result, they collectively rake leaves in a minute.
Answer: By substituting t with 4, we find that 32.5*4 + 5 yields 135 and 28.75 * 4 + 20 results in the same value of 135, confirming the equation is valid.
or
By using 4 as the value for t in the equation, a true statement emerges, indicating that the Burns family will incur a cost of $135 for 4 tickets and parking regardless of whether the choice is lower-level or middle-level seating.
Step-by-step explanation:
Detailed explanation:
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Answer:
Step-by-step explanation:
a. Create a direction field for the specified differential equation
b. By observing the direction field, comment on the behavior of the solutions as t becomes large.
The solutions seem to oscillate
All solutions appear to approach the function y0(t)=4
All solutions seem to converge to the function y0(t)=0
All solutions appear to have negative slopes eventually and thus decrease indefinitely
All solutions seem to have positive slopes eventually and therefore increase without limit
C
As t approaches infinity
All solutions seem to exhibit positive slopes eventually and thus decrease indefinitely
The solutions seem to gradually approach the function y0(t)=0
All solutions appear to eventually have negative slopes leading to decrease without bounds
All solutions seem to converge to the function y0(t)=4
The results are oscillatory
Response:
Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:
700a + 1500p = 14100
700a + 1500p = 14100
Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.
a + p = 11
a + p = 11
\underline{\text{Formulate System of Equations:}}
Formulate System of Equations:
700a + 1500p =
700a + 1500p = 14100
14100
a + p = 11
11
