Find the future value of 1000 at 7 % interest compounded annually for 10 years.
2 answers:
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Answer:
Step-by-step explanation:
Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"
For this case the generla equation for the circle is given by:
From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:
If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for
So then
And if we replace the second point we got this:
And for the third point we have:
And we got the same result.
So then our final equation is given:
Answer:
After 900 minutes
Step-by-step explanation:
when we convert the velocities of the ships into miles/ min we get
The equations determining the distances of the ships from the port M (set at x=0) are
(for 45mph ship)
(for 36mph ship)
The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.