Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
You will need to use this formula:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log(15,000) - log(2,500)] / log (1.0525)
</span>
<span>
<span>
<span>
4.1760912591
</span>
</span>
</span>
-
<span>
<span>
<span>
3.3979400087
</span>
</span>
</span>
/
<span>
<span>
<span>
0.0222221045
</span>
</span>
</span>
=
<span>
<span>
<span>
0.7781512504
</span>
</span>
</span>
/ <span>
<span>
<span>
0.0222221045 =
</span></span></span>
<span>
<span>
<span>
35.0169917705
</span>
</span>
</span>
years
About 35 years
You'll find the formula here: http://www.1728.org/compint2.htm
And a compound interest calculator here: http://www.1728.org/compint.htm
(You'll find both are helpful for this problem).
The main assumption here is that the height at the water level is 0.
So, the answer is given by the solution to the equation
- 16t^2 + 16t + 480 = 0
To solve it, start dividing by -16 to get:
t^2 - t - 30 = 0.
Now factor the left side:
(t - ) (t + ) =0
Find two numbers that add - 1 and its product is -30
(t - 6 ) (t + 5 ) =0
That gives:
t - 6 = 0 ⇒ t = 6 seconds
The other result gives a time negative, which makes not sense for the problem.
Verify substituing 6 in the original equation:
h(6) = -16*6^2 + 16*6 + 480 = -576 + 96 + 480 = 0. Lo cual confirma nuestra solucion.
It toke Rose 6 seconds to hit the water.
