$28<span> compounded on a </span>Yearly<span> basis over the course of </span>5<span> years at a </span>4% interest rate would be worth:
<span>$34</span>
Use the formula a = a+b/2h
Answer:
0.79 sec
Step-by-step explanation:
Given there is a tool at the top of the building which is dropped by a worker and it follows the following equation at every instant of time .
![h(t)=-16t^{2} +h_{0}](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%20%2Bh_%7B0%7D)
where ![h_{0} =10 feet](https://tex.z-dn.net/?f=h_%7B0%7D%20%3D10%20feet)
We know that this height is measured from the base of the building which means that when the tool reaches the bottom of the building it has h = 0 feet.
Let this be done at time t
h(t) = 0
![-16t^{2} +10=0](https://tex.z-dn.net/?f=-16t%5E%7B2%7D%20%2B10%3D0)
![t^{2} =\frac{10}{16}](https://tex.z-dn.net/?f=t%5E%7B2%7D%20%3D%5Cfrac%7B10%7D%7B16%7D)
![t=\frac{\sqrt{10} }{4}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Csqrt%7B10%7D%20%7D%7B4%7D)
t = 0.79 sec
Therefore the total time taken by the tool to reach the bottom of the building is 0.79 sec.