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AleksandrR [38]
3 years ago
7

Number 17 and 18 please and thank you

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0
17. All
18. B because it can be symmetrical either way
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The length of the major axis of the ellipse below is 17 and the length of the red line segment is 6. How long is the blue line s
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Answer:

<u>Option B. 11</u>

Step-by-step explanation:

See the attached figure

As the figure about an ellipse

So, The sum of distance between A and the foci will be equal the major axis

AB = 6 and the major axis = 17

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3 years ago
The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%
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<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

   Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

   From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by \frac{100+1.8}{100} = \frac{101.8}{100}.

   So, the population in the year t can be given by P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}

   Population in the year 2000 = 3,381,000\textrm{x}(\frac{101.8}{100})^{6}=3,762,979.38

Population in year 2000 = 3,762,979

   Let us assume population doubles by year y.

2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}

log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})

y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537

y≈2033

∴ By 2033, the population doubles.

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