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velikii [3]
3 years ago
7

(5x^2+20x) ÷(x+4) divide, it's really important, I thank you for the people who help me in this :)

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

5x

Step-by-step explanation:

Given expression: \frac{5x^2+20x}{x+4}

Take the common number 5 outside in the numerator.

\frac{5x^2+20x}{x+4}=\frac{5(x^2+4x)}{x+4}

Now, take x common in both the terms in numerator.

\frac{5(x^2+4x)}{x+4}=\frac{5x(x+4)}{x+4}

Cancel out the common factor in the both numerator and denominator.

\frac{5x(x+4)}{x+4}=5x

Hence, the answer is 5x.

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Answer: a) 8.779 years

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<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
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Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

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