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Shalnov [3]
3 years ago
10

The average cost per hour in dollars of producing x riding lawn mowers is given by the following. C(x)=0.7x^2+25x-258+(2500/x).

​(a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost. ​(b) What is the minimum average​ cost?

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0
A) See the attached graph.

b) $298.92 per hour

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What is the value of x in the equation 3x-5=1/2x+2x
creativ13 [48]

Answer:

10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−5=

1

2

x+2x

3x+−5=

1

2

x+2x

3x−5=(

1

2

x+2x)(Combine Like Terms)

3x−5=

5

2

x

3x−5=

5

2

x

Step 2: Subtract 5/2x from both sides.

3x−5−

5

2

x=

5

2

x−

5

2

x

1

2

x−5=0

Step 3: Add 5 to both sides.

1

2

x−5+5=0+5

1

2

x=5

Step 4: Multiply both sides by 2.

2*(

1

2

x)=(2)*(5)

x=10

4 0
3 years ago
Karen paid $43.70 for a book. The price of the book was $40 what wasvthe salesvtax r
Elden [556K]
3.70 was the tax price 
8 0
2 years ago
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7/84819 with a remainder
Anon25 [30]

Answer:

12117

Step-by-step explanation:

84819 divided by 7 is 12117

8 0
2 years ago
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Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount
boyakko [2]

\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus \bf 110\%\implies \cfrac{110}{100}\implies 1.1.

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1}  \right)\\\\\\S_4=2000(4.641)\implies S_4=9282

7 0
2 years ago
4. Determine whether each equation defines y as a function of x.
tatuchka [14]

Answer:

I believe it is A!!!!!

Step-by-step explanation:

I took the test E2020

3 0
2 years ago
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