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1 year ago

19.27 - (- 42.1)= subtract

Mathematics

2 answers:

Damm [24]1 year ago

8 0

Answer:

61.37

Step-by-step explanation:

when you subtract twice you are essentially adding

19.27 + 42.1 is that you are doing

and that is

61.37

tensa zangetsu [6.8K]1 year ago

7 0

19.27 -(-42.1) =
19.27 + 42.1 =
[2 negatives
make a positive]

so your answer is 61.37

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Answer:

(a) The value of C is 1.

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(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

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So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

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According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

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$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

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$\ln a^{25}=\ln 1.2$

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$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

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Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

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