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kramer
3 years ago
11

On a game show, you get to throw a dart at a circle of radius 50 inches. If you miss, you get to throw again until you hit the c

ircle. How much money you win is determined by finding the product of the x and y coordinates of the point you hit. You want to determine the coordinates of the point that will maximize your winnings.
Part a says to write the equation(s) you will be working with in this problem.

Part b says Use calculus to determine the coordinates of any point on the circle that will give you the largest possible money winnings. Round to the nearest hundredth. Note:that point must be ON the circle not outside or inside the circle
Mathematics
1 answer:
ratelena [41]3 years ago
5 0
There is a Math website that has a lot of Calculus story problems. He shows you how to solve problems.
patrickjmt.com
also on Youtube;
Patrickjmt channel. The Yourmathgal channel is also good,
both have over 800
videos. Have gone to
both since 2011.
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If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?
Julli [10]
Now, recalling that for 1 yard, there are 3 feet, therefore  \bf \begin{array}{ll}
yards&feet\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1yd&3ft\\
(1yd)^2&(3ft)^2\\
yd^2&3^2ft^2\\
&9ft^2
\end{array}

and keeping in mind that, there are 4840 yd² in 1 acre, then 

\bf \cfrac{\quad \frac{3}{4}~\underline{acre}\quad }{80000~\$}\cdot \cfrac{4840~\underline{yd^2}}{\underline{acre}}\cdot \cfrac{9~ft^2}{\underline{yd^2}}\implies \cfrac{\frac{3}{4}\cdot4840\cdot  9~ft^2}{80000~\$}\implies \cfrac{\frac{130680}{4}}{80000}
\\\\\\
\cfrac{\frac{130680}{4}}{\frac{80000}{1}}\implies \cfrac{130680}{4}\cdot \cfrac{1}{80000}\implies \cfrac{3267}{8000}~\frac{ft^2}{\$}~\approx~ 0.408375 ~\frac{ft^2}{\$}
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=4x%2B6%3D11" id="TexFormula1" title="4x+6=11" alt="4x+6=11" align="absmiddle" class="latex-for
nlexa [21]

Answer:

x = \frac{5}{4}

Step-by-step explanation:

Given

4x + 6 = 11 ( subtract 6 from both sides )

4x = 5 ( divide both sides by 4 )

x = \frac{5}{4} = 1.25

4 0
3 years ago
Read 2 more answers
Simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is
Andrei [34K]
You first simplify the expression using PEMDAS
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then combine like terms,
(-2x^3+2x^3), (-10x^2-10x^2), x
cancels out^
so the answer would be -20x^2+x
3 0
3 years ago
How can I determine whether fractions are considered decimals ​
ArbitrLikvidat [17]
Yes they are but just in a different form. Fractions can be converted to a decimal. 3/5 can be shown as .6. Hope I helped!
3 0
3 years ago
Why did the British sign the Treaty of Paris? What did Great Britain agree to do under the treaty?
bearhunter [10]

Answer: They signed it to end the Revolutionary War. They promised to recognise American independence and ceded territory east of the Mississippi River  to the U.S

Step-by-step explanation:

5 0
3 years ago
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