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Aleks [24]
4 years ago
10

Your final bill is $51.28. This includes a 12% tip. What was the bill without tax?

Mathematics
1 answer:
Roman55 [17]4 years ago
6 0
51.28
———- = 112
———
100
X
X=


X=$45.79
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2) What is the inequality that this graph represents? -15 # 3 6 x​
kvasek [131]

Answer:  y < -\frac{1}{2}x+3

This is the same as writing y < (-1/2)x+3

==============================================================

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing y = -\frac{1}{2}x+3

We shade below the dashed line to represent the inequality y < -\frac{1}{2}x+3. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

3 0
3 years ago
The graph at the right described the money two clubs are earning from fundraising. In how many weeks will the two clubs have the
pickupchik [31]

Answer:

52 weeks

Step-by-step explanation:

The club starting with $270 (club 1) is increasing their bank balance each week by ...

... $280 -270 = $10

The club starting with $10 (club 2) is increasing their bank balance each week by ...

... $25 -10 = $15

Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...

... $260/($5/week) = 52 weeks

_____

The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.

7 0
3 years ago
Jasmine bought six CDs all the same price. The tags on her purchase was $5.04, and the total was $85.74. What was the price of e
Step2247 [10]
6 cds total was 85.75 and there was a 5.04 tax so take 85.75 - 5.04 = 80.70
80.70÷6= 13.45

5 0
4 years ago
AC =<br> Round your answer to the nearest hundredth.
Burka [1]

Answer:

3.06417777

Step-by-step explanation:

cos(40)=x/4

4 0
3 years ago
Read 2 more answers
If $8700 is invested at 3% annual simple interest, how much should be invested at 6% annual simple interest so that the total ye
True [87]
First off, see  how much 8700 as principal, yields at 3% APR
that is \bf \qquad \textit{Simple Interest Earned}\\\\&#10;I = Prt\qquad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\to& \$8700\\&#10;r=rate\to 3\%\to \frac{3}{100}\to &0.03\\&#10;t=years\to &1&#10;\end{cases}

it will yield some amount

subtract that amount from 393
the difference is how much the yield will be on the 6% investment
so

\bf \qquad \textit{Simple Interest Earned}\\\\&#10;I = Prt\quad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\to& \$8700\\&#10;r=rate\to 3\%\to \frac{3}{100}\to &0.03\\&#10;t=years\to &1&#10;\end{cases}&#10;\\\\\\&#10;\implies \boxed{?}\\\\&#10;-----------------------------\\\\&#10;\textit{how much to invest at 6\%?}&#10;\\\\\\&#10;

\bf \qquad \textit{Simple Interest Earned}\\\\&#10;(393-\boxed{?}) = Prt\quad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\to& \$\\&#10;r=rate\to 6\%\to \frac{6}{100}\to &0.06\\&#10;t=years\to &1&#10;\end{cases}&#10;\\\\\\&#10;\textit{solve for "P", to see how much should the Principal be}\\\\&#10;\textit{keep in mind that }P+\boxed{?}=393\leftarrow \textit{both yields added}
6 0
3 years ago
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