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Naily [24]
2 years ago
8

What is the solution of |2x+3|< 19

Mathematics
1 answer:
Alex2 years ago
6 0

Answer:

- 11 < x < 8

Step-by-step explanation:

inequalities of the type | x | < a have solutions of the form

- a < x < a

then

| 2x + 3 | < 19

- 19 < 2x + 3 < 19 ( subtract 3 from each interval )

- 22 < 2x < 16 ( divide each interval by 2 )

- 11 < x < 8

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Which equation illustrates the additive inverse property?
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Answer:

A.

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3 years ago
Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, includi
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Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

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A 20% tip means that, the current price is:

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A 6% sales tax on the meal means that, the current price is:

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x = \frac{27.72}{1.272}

x = 21.78

So, the cost of each meal is:

Each= \frac{21.78}{2}

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Hence, the cost of each meal is: $10.89

Read more about sales tax at:

brainly.com/question/19715580

3 0
3 years ago
Find how long it takes a $ 900.00 investment to earn $ 120.00 in interest if it is invested at 6% compounded annually.
atroni [7]
So, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &\$1020\\&#10;P=\textit{original amount deposited}\to &\$900\\&#10;r=rate\to 6\%\to \frac{6}{100}\to &0.06\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annually, thus once}&#10;\end{array}\to &1\\&#10;t=years&#10;\end{cases}

\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot  t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t&#10;\\\\\\&#10;log\left(\frac{102}{90}  \right)=log(1.06^t)\implies log\left(\frac{102}{90}  \right)=t\cdot  log(1.06)&#10;\\\\\\&#10;\cfrac{log\left(\frac{102}{90}  \right)}{log(1.06)}=t\implies 20.92 \approx t
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The annual tuition at a public two-year college last year was $3,200. For the new school year, Elizabeth’s first year in college
Korolek [52]

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The minimum amount Elizabeth should have saved monthly is $280.

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AURORKA [14]
\left[d \right] = \left[ 0\right][d]=[0] totally answer
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3 years ago
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