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vazorg [7]
3 years ago
10

Rozlyn invested $2000 in an account that pays 4.25% annual

Mathematics
1 answer:
densk [106]3 years ago
4 0

9514 1404 393

Answer:

  $850

Step-by-step explanation:

The amount of interest earned is ...

  I = Prt . . . . . on principal P at annual rate r for t years

Using the given values, the interest earned is ...

  I = $2000·0.0425·10 = $850

The interest Rozlyn's account earns in 10 years is $850.

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Answer:

Option a.

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Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

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Pi aka 3.14 is a very commonly know irrational number
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