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3 years ago

Sin(-120) in exact value

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

Step-by-step explanation:

$\because \: sin \: ( - \theta) = - sin \: \theta \\ \\ \therefore \: sin \: ( - 120 \degree) = - sin \: 120 \degree \\ \\ = - sin \: ( 180\degree- 60 \degree) \\ \\ = - sin \: 60 \degree \\ \\ = - \frac{ \sqrt{3} }{2} \\ \\ \purple{ \boxed{\therefore \: sin \: ( - 120 \degree) =- \frac{ \sqrt{3} }{2} }}$

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miskamm [114]

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3 years ago

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If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou

ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

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

Continuously compounded interest:

$A = Pe^{rt}$

For the quarterly compounded interest, r = 0.25%, and n = 4.

$2P = P(1 + \dfrac{0.0025}{4})^{4t}$

$1.000625^{4t} = 2$

$\log (1.000625^{4t}) = \log 2$

$4t(\log 1.000625) = \log 2$

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For the continuously compounded interest, r =0.23%

$A = Pe^{rt}$

$2P = Pe^{0.0023t}$

$2 = e^{0.0023t}$

$\ln 2 = \ln e^{0.0023t}$

$\ln 2 = 0.0023t$

$t = \dfrac {\ln 2}{0.0023}$

$t = 301$

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

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3 years ago

Two times Noura's age plus 5 years equals Ali's age. Ali is 19 years old. What formula could be used to calculate Noura's age

jenyasd209 [6]

Answer:

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Step-by-step explanation:

to get Noura's age first you need to subtract 5 years from Ali's age which will get you to 14 years of age now you just need to divide 14 by two to get Noura's age which is seven

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3 years ago

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Answer:

Step-by-step explanation:

PART A:

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