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ICE Princess25 [194]
3 years ago
8

For an essay contest, Annika needs to write 400 words with an absolute deviation of less than 10 words. Using w as a variable, w

rite an absolute value inequality to represent this situation.
Mathematics
1 answer:
saw5 [17]3 years ago
5 0

Answer:

The absolute value inequality to represent the situation is presented as follows;

\left | w -400  \right |

Step-by-step explanation:

The given information are;

The number of words Annika needs to write = 400 words

The absolute deviation of the number of words Annika needs to write = 10 words

When we let the number of words Annika write = w, we have;

The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;

\left | w -400  \right |

Therefore we have;

\left | w -400  \right |  gives the statement, -10 < w - 400 < 10.

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A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

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2 years ago
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andrew-mc [135]

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Answer:

Step-by-step explanation:

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<em>                  11</em>

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<em>                  2 </em>

<em>Then</em>

<em>          42         11</em>

<em>  (0 -  ——) • ——</em>

<em>        3             2 </em>

<em>Simplify</em>

<em>                  14</em>

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