Answer:
Step-by-step explanation:
we have
-----> equation A
-----> equation B
To find out (V of r)(t) substitute equation B in equation A
Most everyday situations involving chance and likelihood are examples of ______. simple probability permutations conditional pro
1 answer:
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Answer:
The correct answer is the last option, that is,
Step-by-step explanation:
We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be:
We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be:
In order for amount of money to be equal in accounts of both the runners, we set up:
Upon rewriting the left hand side using commutative law, we get:
Therefore, we can see that the last option is the correct answer.
Answer:
See below
Step-by-step explanation:
<em>Refer to attached. All answers included.</em>
- <u>Note. Will mainly refer to y-coordinates in distance questions</u>
- Distance from coffee shop to library: 16 -8 = 8
- Distance from coffee shop to school: 16 - 10 = 6 = x
- Distance from school to library: 10 - 8 = 2 = y
- Ratio x:y = 6: 2 = 3:1
- Distance from Sergio's home to Saskia's home: 19 -3 = 16
- Distance from Sergio's home to Post office: 16*1/4 = 4
- Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15
- Distance from Kay's home to twin theater: 20 - 4 = 16
- Distance from twin theater to market: 16*3/4 = 12
- Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8
First, we need to solve the differential equation.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.