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BaLLatris [955]
2 years ago
5

The value of the function at x=-6 is ?

Mathematics
1 answer:
Sholpan [36]2 years ago
7 0

Answer:  x = 6, the y - coordinate is 4, therefore the value of the function when x = 6 is 4.

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A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
Describe the difference between slope and y-intercept​
Zinaida [17]

Answer:

The difference between slope and y-intercept, is y-intercept is a specific point. Y-intercept is when the line crosses the y-axis, or when x = 0. Slope is how much the y value changes when the x has changed +1, or -1, if that makes sense.

I was gonna do an example, but I got lazy, hehe.

5 0
3 years ago
Which type of transformation is shown here?
Marina CMI [18]
it is a translation
8 0
3 years ago
Read 2 more answers
Please help me ............
Marysya12 [62]

Answer:

x+30=90

OR

180-120=x

The measure of the angle is 60 degrees.

Step-by-step explanation:

Plug in 60 as x and it will fit each equation.

6 0
3 years ago
Plz help me due today help me
vekshin1

Answer:

7.7 %

Step-by-step explanation:

352-325

=27

27/352 x 100/1

7.670

=7.7%

6 0
3 years ago
Read 2 more answers
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