Answer:
Therefore after 3 years the height of these tree will be same.
Step-by-step explanation:
Given that,
Type A is 2 feet tall and grows at a rate of 17 inches.
Type B is 10 feet tall and is growing at a rate of 5 inches.
1 feet = 12 inches,
2 feet= (12×2) inches = 24 inches
5 feet= (12×5) inches = 60 inches
Let after t years, the height of these tree will be same.
After t years, the height of type A is =(24+17t)
After t years, the height of type B is =(60+5t)
According to the problem,
24+17t=60+5t
⇒17t-5t=60-24
⇒12t = 36
⇒t = ![\frac{36}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B12%7D)
⇒t=3
Therefore after 3 years the height of these tree will be same.
Answer:
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $8,500
Future value (FV)= $17,323
Interest rate (i)= 4.5%
<u>To calculate the time required for the investment to reach the objective, we need to use the following formula:</u>
n= ln(FV/PV) / ln(1+i)
n= ln(17,323/8,500) / ln(1.045)
n= 16.17 years
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
Answer:
The common difference between successive terms in the sequence is -0.1
Step-by-step explanation:
Common difference in an arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
0.36, 0.26, 0.16, 0.06, -0.04, -0.14
Subtraction of each term by its predecessor. So
0.26 - 0.36 = 0.16 - 0.26 = -0.1
The common difference between successive terms in the sequence is -0.1
Answer:
2210.6 ![m^3](https://tex.z-dn.net/?f=m%5E3)
Step-by-step explanation:
Volume of a cylinder is ![\pi r^2h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h)
![V=(3.14)(8)^2(11)\\\\=(3.14)(64)(11)\\\\=2210.56](https://tex.z-dn.net/?f=V%3D%283.14%29%288%29%5E2%2811%29%5C%5C%5C%5C%3D%283.14%29%2864%29%2811%29%5C%5C%5C%5C%3D2210.56)
they want to the nearest tenth, so ≈ 2210.6