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MArishka [77]
3 years ago
15

Ernesto has $70 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will he have i

n 3 years?
Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer: $81.03

Step-by-step explanation:

The interest is compounded annually which means that the future value formula applies:

Future value = Amount * ( 1 + rate) ^ number of years

Amount = $70

Rate = 5%

Number of years = 3 years

In 3 years, Ernesto will have:

= 70 * ( 1 + 5%)³

= $81.03

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Answer:  The answer is (a) sec A = 11 over 3.



Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,

i.e.,

\cos A=\dfrac{3}{11}.

And we need to find which one of the given four options is correct.

We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

\sec A=\dfrac{1}{\cos A}~~\textup{and}~~\csc A=\dfrac{1}{\sqrt{1-\cos^2 A}}.

Therefore,

\sec A=\dfrac{11}{3}

and

\csc A=\dfrac{1}{\sqrt{1-\frac{9}{121}}}=\dfrac{1}{\sqrt{\frac{112}{121}}}=\dfrac{11}{4\sqrt 7}.

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Step-by-step explanation:

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3 years ago
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Vera_Pavlovna [14]
I think the square root of 125 is 11.1803398875
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3 years ago
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LekaFEV [45]

Answer:

Step-by-step explanation:

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