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kvv77 [185]
3 years ago
14

Mhanifa please help! You don't have to draw a diagram if you dont want to

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

  • 10.44 m

Step-by-step explanation:

The ladder is the hypotenuse of the triangle with legs of 3 m and 10 m.

<u>The length of the ladder is:</u>

  • l = \sqrt{3^2+10^2} = \sqrt{109} = 10.44 m
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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)
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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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