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marysya [2.9K]
4 years ago
12

Help please and as soon as possible and thanks

Mathematics
1 answer:
Annette [7]4 years ago
7 0
This is 10.5^2 10.5 is the base and 2 is the exponent. The area is 110.25 square inches.
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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
3. SCHOOL The number of students N in Vassia's school
HACTEHA [7]

Answer:

jkfvgbhnjm

Step-by-step explanation:

free points

5 0
4 years ago
A doctor has a annual income of 125,125 the income tax doctor has to pay 6%
Fudgin [204]

Answer:

The doctor has to pay $7507.50 in income tax.

Step-by-step explanation:

125,125*.06=7507.50

3 0
3 years ago
Hey plz anyone inbox me ​
Scilla [17]

Answer:

Hi

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP ASAP! Use a calculator to find the r-value of these data. Round the value to three decimal places.
AleksandrR [38]
We know that
In statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1

using a excel tool
see the attached figure

<span>the r-value is -0.98534-------> -0.985
</span>
the answer is
-0.985

4 0
4 years ago
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