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WITCHER [35]
3 years ago
7

Andrea was given a $700 hiring bonus with her new job she will earn an average commission of $250 per week for the next 15 weeks

.How much does she earn?
Mathematics
1 answer:
Bad White [126]3 years ago
8 0

Answer:

4,450

Step-by-step explanation:

You muiltiply 250 times 15 then you add 700

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Find the vertices and foci of the hyperbola with equation quantity x minus five squared divided by eighty one minus the quantity
Papessa [141]
If you notice, the positive fraction, is the one with the "x" variable in it, that simply means, the hyperbola is opening over the x-axis, so is a horizontal one, therefore

\bf \textit{hyperbolas, horizontal traverse axis }
\\\\
\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a,  k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}
\end{cases}\\\\
-------------------------------

\bf \cfrac{(x-5)^2}{81}-\cfrac{(y-1)^2}{144}=1\implies \cfrac{(x-5)^2}{9^2}-\cfrac{(y-1)^2}{12^2}=1~~
\begin{cases}
a=9\\
b=12
\end{cases}
\\\\\\
c=\sqrt{9^2+12^2}\implies c=15\\\\
-------------------------------\\\\
vertices~~(5\pm 9,1)\implies 
\begin{cases}
(14,1)\\
(-4,1)
\end{cases}~~foci~~(5\pm 15,1)\implies 
\begin{cases}
(20,1)\\
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3 0
3 years ago
It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?
tia_tia [17]
I’m pretty sure the answer is 1,108.8 if it’s wrong my bad
5 0
3 years ago
A submarine was situated 800 feet below sea level.
Ghella [55]

Answer:

New position = -525 ft or 525 ft below the sea level

Step-by-step explanation:

Lets h be the height of the sea.

Given:

A submarine was situated 800 feet below sea level.

It is ascends 275 feet.

We know that h = 0 on the surface of the sea.

When we go below the surface vertically inside the sea the height will become negative.

So the submarine was situated h = -800 feet below the sea level, and it is ascends 275 feet from -800 feet.

So the new height of the submarine is.

h = -800 + 275

h = -525\ ft

Therefore the new position of the submarine is 525 below the sea level.

8 0
3 years ago
Amanda runs 10 miles in 56 minutes. how many miles does she run per minute
ruslelena [56]

Answer:

she runs .18 or 0.1785714286 miles per minute

Step-by-step explanation:

3 0
3 years ago
A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a
vitfil [10]

Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is \hat{p}=0.42 and a good aproximation (because we have a large sample) for the standard deviation of \hat{p} is \sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156. Therefore, a 99% confidence interval for p is given by \hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} where \alpha=0.01 and z_{\alpha/2} is the \alpha/2th quantile of the standard normal distribution, so we have, 0.42\pm z_{0.005}0.0156, i.e., 0.42\pm(-2.5758)(0.0156) or equivalently (0.3798, 0.4602).

6 0
3 years ago
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