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dem82 [27]
2 years ago
12

Discussion Topic

Mathematics
1 answer:
yawa3891 [41]2 years ago
4 0

We want to see in which other situations we can see that two things look different, but the meaning is still the same like when working with algebra.

<h3>Synonyms.</h3>

Trivially, when you wrote sentences you can choose the words that you use, and for a complete sentence, you can easily change a word by a synonym of it, in such a way that the meaning of the sentence does not change.

A similar thing happens when we apply algebra to an equation to "rewrite" it in another form.

The question particularly talks about rewriting polynomials, but this can actually be applied to all mathematical expressions.

For example, we can just rewrite the number 2 as:

√4

Notice that are 2 really different ways of writing the same number.

If you want to learn more about algebra, you can read:

brainly.com/question/4344214

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Answer:

Dale will reach his goal at an annual rate of 11.83%.

Step-by-step explanation:

The formula for continuos compounding is given by:

A(t) = Pe^{rt}

In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.

Dale has 2000 dollars to invest.

This means that P = 2000

He has a goal to have 5800 in this invest ment in 9 years.

So A(9) = 5800

At what annual rate compounded continuously will Dale reach his goal?

This is r.

A(t) = Pe^{rt}

5800 = 2000e^{9r}

e^{9r} = \frac{58}{20}

e^{9r} = 2.9

\ln{e^{9r}} = \ln{2.9}

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r = \frac{\ln{2.9}}{9}

r = 0.1183

Dale will reach his goal at an annual rate of 11.83%.

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