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:
choice A. : y = 2*(3^x)
Step-by-step explanation:
y = A *(B)^x
we have (0, 2) 2 = A*(B)^0 = A
so y = 2*B^x
now.
(1, 6)
6 = 2*(B)^1
3 = B^1
B = 3
y = 2 * (3^x)
The easiest way to find the expansion of the expression given would e to distribute. To distribute, you have to multiply each of the terms in the parentheses by 9. The expansion of the expression would be 9x + 18.
9 (x + 2)
9 · x = 9x
9 · 2 = 18
9x + 18
Hope this helps. Good luck! :)
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▹ Answer
<em>3/25</em>
▹ Step-by-Step Explanation
![\frac{4}{5} * \frac{3}{20} \\\\= \frac{12}{100} \\\\\frac{12}{100} divide each side by 4\\\\\frac{12}{100} \\\\= \frac{3}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%2A%20%5Cfrac%7B3%7D%7B20%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B12%7D%7B100%7D%20%5C%5C%5C%5C%5Cfrac%7B12%7D%7B100%7D%20divide%20each%20side%20by%204%5C%5C%5C%5C%5Cfrac%7B12%7D%7B100%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B3%7D%7B25%7D)
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
5/6
Step-by-step explanation:
When dividing fractions, multiply by the reciprocal:
2/3 ÷ 4/5
2/3 x 5/4
Multiply the numerators and denominators by each other:
= 10/12
Simplify by dividing the numerator and denominator by 2:
= 5/6
The answer is 5/6