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poizon [28]
3 years ago
14

In the last 10 years, the population of Indonesia has grown at a rate of 1.12% per year to 258,316,051. If this rate continues,

what will be the population in 10 more years? Round your answer to the nearest whole number.
Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

Final population after 10 years

= 288911718

Step-by-step explanation:

Present population p = 258,316,051

Rate of growth R%= 1.12%

Number of years t= 10 years

Number of times calculated n = 10

Final population A

= P(1+r/n)^(nt)

A= 258,316,051(1+0.0112/10)^(10*10)

A= 258,316,051(1+0.00112)^(100)

A= 258,316,051(1.00112)^100

A= 258,316,051(1.118442762)

A= 288911717.6

Approximately A= 288911718

Final population after 10 years

= 288911718

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Given that the antiderivative of f of x equals 1 divided by the quantity x squared plus 1 is F(x) = tan-1(x) + C, evaluate the i
andreyandreev [35.5K]

Answer:

You know that if f(x) = 1/(x²+1) then F(x)=arctan(x).

What is arctan(x) function? It is inverse function of tan(x) in tge range (-π/2, π/2).

So if tan(x) = y then x = arctan(y)

therefore arctan(-1) = -π/4 because tan(-π/4)=-1 and arctan(1)=π/4 because tan(π/4) = 1.

In conclusion:

integral (dx/(x²+1)) from -1 to 1 =

= F(1) - F(-1) = arctan(1) - arctan(-1) =

=π/4-(-π/4)=π/4+π/4 = π/2.

answer B is correct

4 0
3 years ago
Read 2 more answers
4. Zowie serves at a restaurant and makes 20% of what their sales as tips with base salary of $10.20 an hour. Each hour Zowie se
n200080 [17]

Answer:

ii.

Step-by-step explanation:

because i had this same problem and was told that was the answer

6 0
2 years ago
What is the slope of a line that contains the points (-6, 1)and (4 negative 4)​
Vesna [10]
-4/5 cause m=y^2-y^1/x^2-x^1
Btw check if it is correct
8 0
3 years ago
Please help
Liono4ka [1.6K]

Answer:

P(red) = .3

P(yellow) = .3

75 cubes in the box

Step-by-step explanation:

The probability has to add to 1

Since the number of red cubes equals the number of yellow cubes the probability has to be the same

.4 + x+x = 1

.4 +2x = 1

2x = 1-.4

2x = .6

Divide by 2

x = .6/2

x = .3

P(red) = .3

P(yellow) = .3

We know that

P(blue) = .4 = number of blue cubes/ total number of cubes

                 .4 = 30/total

                  total = 30/.4

                   total = 75

7 0
3 years ago
The function f(x) is shown below.
goblinko [34]

Answer:

Third option is correct.

Step-by-step explanation:

The given table is

 x       f(x)

–6      1

–3       2

 2       5

 5       3

 8       0

If the coordinates of a function f(x) is defined as (x,y), then the coordinates of inverse of f(x) is defined as (y,x).

f(g(y))=f(x)                  [\because g(x)=(y,x)]

f(g(y))=y                  [\because f(x)=(x,y)]

If g(x) is the inverse of f(x), then the value of f(g(y)) is y.

It is given that g(x) is the inverse of f(x), then the value of f(g(2)) is 2.

Therefore third option is correct.

8 0
3 years ago
Read 2 more answers
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