First one was divided by 2 second was divided by 4 so now you do 16/8 which gives you two then you do 2/16 which is 1/8 so the next two answers are 2 and 1/8
Step-by-step explanation:
![given \: - 5n = 4m](https://tex.z-dn.net/?f=given%20%5C%3A%20%20-%205n%20%3D%204m)
making m the subject first by dividing through by 4
![\frac{ - 5}{n} = \frac{4m}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%205%7D%7Bn%7D%20%20%3D%20%20%5Cfrac%7B4m%7D%7B4%7D%20)
![m = \frac{ - 5n}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20-%205n%7D%7B4%7D%20)
from the question, given n = -1 ,0 ,1
so when n= -1
![m = \frac{ - 5( - 1)}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20-%205%28%20-%201%29%7D%7B4%7D%20)
![m = \frac{5}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B5%7D%7B4%7D%20)
when n=0
![m = \frac{ - 5(0)}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20-%205%280%29%7D%7B4%7D%20)
![m = \frac{0}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B0%7D%7B4%7D%20)
![m = 0](https://tex.z-dn.net/?f=m%20%3D%200)
when n=1
![m = \frac{ - 5(1)}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20-%205%281%29%7D%7B4%7D%20)
![m = \frac{ - 5}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B4%7D%20)
Option B
The amount in account after 3 years is $ 12444.66
<em><u>Solution:</u></em>
Given that,
$9500 is invested at an interest rate of 9%, compounded continuously
<em><u>The formula for total amount when interest is compounded continuously:</u></em>
![A = p e^{rt}](https://tex.z-dn.net/?f=A%20%3D%20p%20e%5E%7Brt%7D)
Where "p" is the principal
"r" is the rate of interest
"t" is the number of years
In this problem,
p = 9500
![r = 9 \% = \frac{9}{100} = 0.09](https://tex.z-dn.net/?f=r%20%3D%209%20%5C%25%20%3D%20%5Cfrac%7B9%7D%7B100%7D%20%3D%200.09)
t = 3 years
<em><u>Substituting the values we get,</u></em>
![A = 9500e^{0.09 \times 3}\\\\A = 9500 \times e^{0.27}\\\\A = 9500 \times 1.309964\\\\A = 12444.66](https://tex.z-dn.net/?f=A%20%3D%209500e%5E%7B0.09%20%5Ctimes%203%7D%5C%5C%5C%5CA%20%3D%209500%20%5Ctimes%20e%5E%7B0.27%7D%5C%5C%5C%5CA%20%3D%209500%20%5Ctimes%201.309964%5C%5C%5C%5CA%20%3D%2012444.66)
Thus amount in account after 3 years is $ 12444.66
The best way to do this is to make up values for the sides.
Say the lengths of square B's sides are each 4 cm. That means A's sides are 2 cm.
So, the area of square B is 4^2 = 16 cm^2, and A's area is 4 cm^2. We can see the shaded area is half of A, so it's 2 cm^2.
What percent of 16 is 2?
2 / 16 * 100 = 12.5%
Answer:
There are so many expressions that <em>could</em> have the value of x being equivalent to 2.
Step-by-step explanation: