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3 years ago

6

What is the least common multiple of 6 and 9? 3 18 36 54

1 answer:

kolbaska11 [484]3 years ago

5 0

Answer:

3

Step-by-step explanation:

3x2= 6

3x3= 9

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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

Select ALL the correct answers.

Colt1911 [192]

What are the choices for this question?

6 0

3 years ago

33 is 55% of what number

9966 [12]

Because percentage is the numerator divided by the denominator of a fraction times one-hundred, we can set up this equation:

$\frac{33}{x} =0.55$

Now, we cross multiply.

$33= 0.55x$

Next, we divide both sides by 0.55 to get x by itself.

x = 60

So, 33 is 55% of 60.

6 0

3 years ago

Read 2 more answers

(HELP!!!) Gustavo invests £520 for 6 years in a bank account paying simple interest. At the end of 6 years, the amount in the ba

romanna [79]

629.20/520=1.21
Powerof6V1.21= 1.0323
Rate of interest 3.23

7 0

4 years ago

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)

saul85 [17]

Answer:

Step-by-step explanation: if there are 500 pieces of paper and the entire stack is 1.875 inches tall, you devide the total height by 500. I know Deigo is wrong because you can easily reverse check his work by multiplying 0.015 by the total number of papers 500 you will get 7.5 which is not the height of the stack

1.875/500=0.00375

each piece of paper is 0.00375

8 0

3 years ago