Can I have some help
1 answer:
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<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:
For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:
Now, substituting the equation for Ava into the equation for Kelly, we have:
To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:
For Kelly:
There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!
Answer:
Amount to be kept separately for having $17,000 at year end = $16,715.83
Step-by-step explanation:
As it is provided, that annual return = 1.7% compounded annually.
We need to calculate the amount to be invested today, to get a total of $17,000 at year end.
Since the interest is compounded annually, it is a simple interest if the term is of 1 year.
Therefore,
Investment + Investment 1.7% = $17,000
Investment + 0.017 Investment = $17,000
1.017 Investment = $17,000
Investment =
Therefore, Investment today = $16,715.83