.08x+.05(15000-x)=930
.08x+750-.05=930
.08x-.05x=930-750
.03x=180
X=180/.03=6,000 at 8%
(15000-6000)=9000 at 5%
Answer:
14 and 10
Step-by-step explanation:
The ratio of the 2 numbers = 7x : 5x
The sum of the 2 numbers is 24, hence
7x + 5x = 24
12x = 24 ( divide both sides by 12 )
x = 2
7x = 7 × 2 = 14
5x = 5 × 2 = 10
Thus the numbers are 14 and 10
Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time 
At 
After
seconds, the weight of the bucket is 
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after
seconds is 
Since the well is 80 ft deep, the time to pull out the bucket is 
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write

Use
and 



![=\left[63 t-0.2 t^{2}\right]_{0}^{36}](https://tex.z-dn.net/?f=%3D%5Cleft%5B63%20t-0.2%20t%5E%7B2%7D%5Cright%5D_%7B0%7D%5E%7B36%7D)

I need more information about the triangle before I am able to answer your question.