Answer:
3 +2i
Step-by-step explanation:
![3+\sqrt{-4} =3+2\sqrt{-1}=3+2i \quad\text{assuming the positive square root}](https://tex.z-dn.net/?f=3%2B%5Csqrt%7B-4%7D%20%3D3%2B2%5Csqrt%7B-1%7D%3D3%2B2i%20%5Cquad%5Ctext%7Bassuming%20the%20positive%20square%20root%7D)
The business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equivalent to a yearly increase of 49.0%.
Given that, A=£17000, P=£186000, r=x%, t=6 years
<h3>What is compound interest?</h3>
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
We know that, ![A=P(1+\frac{r}{100} )^{n}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5E%7Bn%7D)
Wow, ![186000=17000(1+\frac{x}{100} )^{6}](https://tex.z-dn.net/?f=186000%3D17000%281%2B%5Cfrac%7Bx%7D%7B100%7D%20%29%5E%7B6%7D)
⇒![10.94=(1+\frac{x}{100} )^{6}](https://tex.z-dn.net/?f=10.94%3D%281%2B%5Cfrac%7Bx%7D%7B100%7D%20%29%5E%7B6%7D)
⇒![1.4891=1+\frac{x}{100}](https://tex.z-dn.net/?f=1.4891%3D1%2B%5Cfrac%7Bx%7D%7B100%7D)
⇒![0.4891=\frac{x}{100}](https://tex.z-dn.net/?f=0.4891%3D%5Cfrac%7Bx%7D%7B100%7D)
⇒x=48.91%~49.0%
Therefore, the value of x is 49.0%.
To learn more about compound interest visit:
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Answer:
47 if not
Step-by-step explanation:
srooy i'm only 6
Here's link to the answer:
tinyurl.com/wpazsebu
Answer:
16 square feet
Step-by-step explanation:
First, let's find how long each side of the cube is.
The volume of a cube is found by this formula, where s is a side of the cube:
![V = s^3](https://tex.z-dn.net/?f=V%20%3D%20s%5E3)
We can take the cube root of both sides:
![\sqrt[3]{V} = \sqrt[3]{s^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BV%7D%20%20%3D%20%5Csqrt%5B3%5D%7Bs%5E3%7D)
Just flipping it:
![\sqrt[3]{s^3}=\sqrt[3]{V}\\s = \sqrt[3]{V}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7BV%7D%5C%5Cs%20%3D%20%5Csqrt%5B3%5D%7BV%7D)
We know our volume is 64 cubic feet. Let's put that into our equation as V:
![s=\sqrt[3]{64}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B3%5D%7B64%7D)
The cubic root of 64 is 4, since 4 * 4 * 4 = 64
![s=4](https://tex.z-dn.net/?f=s%3D4)
Thus, each side of our cube is 4 feet.
Now, the area of a side of our cube is found using this formula:
![A = s^2](https://tex.z-dn.net/?f=A%20%3D%20s%5E2)
Since we know s, we can easily find the area A by squaring it:
![A = 4^2 = 16](https://tex.z-dn.net/?f=A%20%3D%204%5E2%20%3D%2016)
Answer: 16 square feet