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Delicious77 [7]

3 years ago

14

PLEASE HELP ME !!!!!!!!!

1 answer:

Alex777 [14]3 years ago

3 0

Answer:

There are 2 contractions al and del. Name the parts of a verb Ar, Er, ir

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In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(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,

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

So, the population in 2000,

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

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

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

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

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

$25\ln a = \ln 1.2$

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

$a=e^{0.00729}=1.00731$

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.

3 0

3 years ago

Simplify <br> 3 2/3 - 2 3/4 =

Rasek [7]

Answer: 11/12

Step-by-step explanation:

1. To solve this problem you can transform the mixed numbers given in the problem to fractions, as you can see below:

3 2/3=(3*3+2)/3=11/3

2 3/4=(4*2+3)/4=11/4

2. Now you must make the substraction of the fraction:

11/3-11/4=11/12

3. Therefore, the answer is 11/12

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4 years ago

The sides of a triangle measure 10 feet, 13 feet, and 17 feet.

yuradex [85]

A right triangles hypotenuse is the square root of both of the other side squared. The formula for this is a^2 + b^2= c^2, with c being the longest side. So 10 squared is 100, 13 squared is 169, but. 17 squared is 289. The sum of the other two sides are 269. So it doesn’t equal

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2 years ago

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K/9=3/9=what ? so is( k)a 3 or another number which is k=3/9=3/9 or no?

Flura [38]

So, if k/9=3/9, then k=3, because it is a variable substituting 3. :D Hope I could help!

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3 years ago

in 2013 the population of detroit was 743,204. The population of the city of detroit in the year 1970 was 688,701 greater than i

irina [24]

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Just add them together

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