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Mathematics

1 answer:

vfiekz [6]3 years ago

8 0

Answer. the answer for the problem you asked is A

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The product of a number and 5 is less than the number

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Step-by-step explanation:

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At 3:00 p.m., Jamie leaves her house and drives north to the beach. She arrives at 5:30 p.m. Also leaving at 3:00 p.m., her brot

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Given the data shown below, which of the following is the best prediction for

Soloha48 [4]

Answer:

The best prediction for the number of years it will take for the population to reach 200,000 is 9.41

Step-by-step explanation:

Year Population

1 11,920

2 16,800

3 23,300

4 33,000

5 45,750

6 64,000

$y_1 =A _0 e ^{kt _1}\\y_2 = A_0 e^{k t_2}\\(t_1,y_1)=(1,11920)\\(t_2,y_2)=(2,16800)$

Substitute the values

$11920=A _0 e ^{k} ---1\\16800 = A_0 e^{2k} ---2$

Divide 1 and 2

$\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238$