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3 years ago

What number is one tenth of the number 0.9

Mathematics

1 answer:

Alja [10]3 years ago

6 0

Answer:

0.09

Step-by-step explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (1*9)/(10*10) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

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On Novermber 27, 1993, the New York times reported that wildlife biologists have found a direct ink between the increase in the

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a. 1 263 888

b. 130 701

c. 72 years

Step-by-step explanation:

a. The differential equation applies here.

Let the quantity increase for a certain time be given by Q(t)

Every unity of time, the quantity increases by $1+\frac{r}{100}$ so that after the time t, the quantity remaining will be given by:

$Q(t) = (1+ \frac{r}{100} )^{t}$

In a similar manner, the quantity R(t) decreases at a rate given by the following expression:

$1-\frac{r}{100}$ and after the time , t the quantity of R remaining will be given by:

$R(t) = (1-\frac{r}{100} )^{t}$

a. To find the population of humans in 1953

$Q(t) = (1+ \frac{r}{100} )^{t}$

1993 - 1953 = 40 years = t

Q(40) = Q× $1.06^{40}$

Q = 1 263 888.44

≈ 1 263 888

b. For bear population in 1993:

$R(t) = (1-\frac{r}{100} )^{t}$

t = 40

R(40) = $b 0.94^{40} = 11 000$

b = 130 700. 889

≈130 701

c. time taken for black bear population number less than 100 is given by:

130 = 11000× $0.94^{t}$

solving using natural logarithms gives t = 72.72666

= 72 years Ans

8 0

3 years ago