A used car salesperson makes 5% of her sales in commission. Last week, she sold used cars worth a total of $120,000.
2 answers:
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Answer:
Step-by-step explanation:
Let,
Now, us simplify the given differential equation and write it in terms of D,
or,
or,
We have our auxiliary equation:
or,
or,
Therefore our solution is,
and,
Applying the boundary conditions, we get,
Solving them gives us,
Hence,
A: To find the rate in feet per minute, we can use the information given.
Every two minutes, the submarine dives 300 feet. So
.
In order to confirm that our rate is correct, we can use the second set of information given.
=
.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.
There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.
Every two minutes, the submarine dives 300 feet. So
In order to confirm that our rate is correct, we can use the second set of information given.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.
There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.
This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
