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3 years ago

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In 1839, Georgia produced 326,000 bales of cotton . By 1860, the state produced 700,000 bales. What was the approximate percent

of increase in the bales produced during that 21-year period?

1 answer:

hammer [34]3 years ago

3 0

Answer: 115% increase

Step-by-step explanation: To solve, we need to subtract the first value fro the second value. The formula is Percent Change = ((Second Value – First Value) ÷ First Value) x 100%

700,000-326,000=374,000. Then, divide the difference by the first value.

374,000÷326,000=1.1472392638≈1.15

1.15×100%=115%

Thus, the approximate percent of increase in the bales produced during that 21-year period is 115% increase

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$|| \boldsymbol{r}'(t)}||=\sqrt{(-2\sin \left(2t\right))^2+(2\cos \left(2t\right))^2} \\|| \boldsymbol{r}'(t)}||=\sqrt{2^2\sin ^2\left(2t\right)+2^2\cos ^2\left(2t\right)}\\|| \boldsymbol{r}'(t)}||=\sqrt{4\left(\sin ^2\left(2t\right)+\cos ^2\left(2t\right)\right)}\\|| \boldsymbol{r}'(t)}||=\sqrt{4}\sqrt{\sin ^2\left(2t\right)+\cos ^2\left(2t\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \cos ^2\left(x\right)+\sin ^2\left(x\right)=1\\\\|| \boldsymbol{r}'(t)}||=2\sqrt{1}=2$

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We know that $\kappa=1$ and $\frac{ds}{dt}=2$ so

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