Thanks for the food and the points12346727373738288238728373283838283837283729373928392829732
Answer:
Factoring a perfect square trinomial.
Step-by-step explanation:
The left side was able to be simplified via factoring.
350(1+.03)^10
350(1.03)^10
350(1.3439)
$470.37
E(t) is the elevation Maria is at at t minutes.
The expression to calculate the elevation is 1200 + 40t.
E(t) = 1200 + 40t
E(15) means the elevation Maria is at at time 15 minutes.
E(15) = 1200 + 40(15)
E(15) = 1200 + 600
E(15) = 1800
E(15) = 1800 means that Maria is at an elevation of 1800 ft after 15 minutes.
You say that there is uniform acceleration so:
vf-vi=at (final velocity minus initial velocity is equal to acceleration times time)
We know vf, vi, and t so we can solve for acceleration:
24-12=a10
12=10a
a=1.2
That is the acceleration, we will need to integrate with respect to time twice...
v=⌠a dt
v=at+vi , we know a=1.2m/s^2 and vi=12m/s
v=1.2t+12,
x=⌠1.2t+12 dt
x=1.2t^2/2+12t+xo, we can just let xo=0 for this problem...
x(t)=0.6t^2+12t
Now we know that this acceleration lasts for 10 seconds so the distance traveled in that time is:
x(10)=0.6(10^2)+12(10)
x(10)=60+120
x(10)=180 meters
