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irakobra [83]
3 years ago
9

Find the ratio a:b if it is givin that a/3 = b/4

Mathematics
1 answer:
wariber [46]3 years ago
3 0

Answer:

Step-by-step explanation:

Cross multiply the givens

3b = 4a         Divide both sides by 4

3b/4 = a        Now divide by b

3/4 = a/b

This can be written as

3:4 :: a:b

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When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

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