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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