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Rus_ich [418]
1 year ago
15

Alex wrote the expanded form for the number 165.038 as 100+60+5+30+8. Was he correct? If not give expanded form.

Mathematics
1 answer:
oksano4ka [1.4K]1 year ago
5 0

We have the next number

165038

The expanded form of the number is

100000+60000+5000+30+8

Also, we can verify that Alex was incorrect because if we do the sum of the expanded form that Alex calculated we obtain

\begin{gathered} 100+60+5+30+8=203 \\ \text{And }203\ne165038 \end{gathered}

Finally, the correct answer is

100000+60000+5000+30+8

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Slope is defined simply as delta y over delta x or the change in y over the change of x. We need to decided what points is going to be the start or the end. Typically, the point farther to the right of the graph is considered the end point.

Start: (1, 7)

End: (10, 1)

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GarryVolchara [31]
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7 0
3 years ago
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Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
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kodGreya [7K]

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Convert into mixed number:

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Subtract the terms:

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Answer:

x=23/4 or 5 3/4.

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Answer:

Step-by-step explanation:

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Students solve equations for the value of the variable using inverse operations; by making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse).

8 0
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