Answer:
The number of years it would take is ![n = 2 \ years](https://tex.z-dn.net/?f=n%20%20%3D%20%202%20%5C%20years)
Step-by-step explanation:
From the question we are told that
The earning per share is
$3.50
The growth rate is r = 7.0%
The duration is ![t = 5 \ years](https://tex.z-dn.net/?f=t%20%3D%20%205%20%5C%20years)
Generally the future value is mathematically represented as
![A = P(1 + \frac{r}{100} )^n](https://tex.z-dn.net/?f=A%20%3D%20%20P%281%20%2B%20%5Cfrac%7Br%7D%7B100%7D%20%29%5En)
Where P is the present value
n is the time period
A is the future value which is mathematically evaluated as
![A = 3 * P](https://tex.z-dn.net/?f=A%20%3D%20%203%20%2A%20P)
substituting value
![A = 3 * 3.50](https://tex.z-dn.net/?f=A%20%3D%20%203%20%2A%203.50)
$ 10.5 0
So
![A = P(1 + \frac{r}{100} )^n](https://tex.z-dn.net/?f=A%20%3D%20%20P%281%20%2B%20%5Cfrac%7Br%7D%7B100%7D%20%29%5En)
![10.5 = 3.5(1 + \frac{7}{100} )^n](https://tex.z-dn.net/?f=10.5%20%3D%20%203.5%281%20%2B%20%5Cfrac%7B7%7D%7B100%7D%20%29%5En)
![10.5 = 3.225^n](https://tex.z-dn.net/?f=10.5%20%3D%203.225%5En)
Taking log of both sides
![log 10.5 = nlog 3.225](https://tex.z-dn.net/?f=log%2010.5%20%3D%20nlog%203.225)
![1.0212 = n(0.5085)](https://tex.z-dn.net/?f=1.0212%20%3D%20n%280.5085%29)
![n = \frac{1.0212}{(0.5085)}](https://tex.z-dn.net/?f=n%20%20%3D%20%20%20%5Cfrac%7B1.0212%7D%7B%280.5085%29%7D)
![n = 2 \ years](https://tex.z-dn.net/?f=n%20%20%3D%20%202%20%5C%20years)
Roughly 13 degrees, specifically 13.3 repeating
F(x) = 3x^3 -2x^2 - 19x -6
Answer:
There is <u>8</u> adults and <u>1 </u>child
Step-by-step explanation:
<u>$78 - $6 = $72</u>
<u>$72 divided by 9 = 8</u>
you would add nine <u>8</u> times and add 6 to it then it would be $78
Hope this helps you! :)
Answer:
Reciprocal of 5/18 is 18/5.
5/18 x 18/5 = 90/90
= 1