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strojnjashka [21]
2 years ago
12

in 1990 there were about 5.4 billion people in the world. if the population has been growing at 1.95% per year, estimate the yea

r when the population will be 8 billion people
Mathematics
1 answer:
kompoz [17]2 years ago
6 0

Answer:

2011

Step-by-step explanation:

Here is the formula.

A=P(1+r)^{n}

A = Final Value

P = Starting Value

R = Rate

N = Time in Years

A = 8,000,000,000

P = 5,400,000,000

R = 0.0195

N = Time in Years

Solve for n.

20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.

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John is selling tickets to an event. Attendees can either buy a general admission ticket, x,
Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29     Eqn 1

50x+55y=1505   Eqn 2

Multiplying Eqn 1 by 50

50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55

Dividing both sides by 5

\frac{5y}{5}=\frac{55}{5}\\y=11

Putting y=11 in Eqn 1

x+11=29\\x=19-11\\x=18

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1232765
  • brainly.com/question/1234767

#LearnwithBrainly

5 0
3 years ago
Find expressions for the partial derivatives of the following functions:
nlexa [21]

Answer:

Step-by-step explanation: partial derivative is the differentiation of one variable e.g. X while leaving the values of the other variable e.g. Y

These four questions A, B, C and D have different functions separated by commas. I will not assume the commas to be something else like a plus sign.

A. f(x) = g'(x).k(y) , g'(x) + h(y)

f(y) = k'(y).g(x) , g(x) + h'(y)

B. f(x) = g'x (x+y)

f(y) = g'y (x+y) , h'y (y+z)

f(z) = h'z (y+z)

C. f(x) = f'x (xy) , f'x (zx)

f(y) = f'y (xy) , f'y (yz)

f(z) = f'z (yz) , f'z (zx)

D. f(x) = f'x (x) , g'(x) , h'x (x,y)

f(y) = h'x (x,y)

These are the partial derivative expressions for each variable in each function. You will need to pay a lot of attention to understand:

* while differentiating X alone, functions in Y which are separated by commas from the functions in X, are ignored totally because they are different questions

* In functions where X added to Y is in a bracket e.g. (x+y), to find the derivative of X, Y isn't thrown away because they are joined (by a plus sign) the derivative of X alone in this case would be f'x (x+y)

* f(x), just like g(x), simply means/represents a function in X hence f'(x) means the differentiation of all X-terms in that function

6 0
3 years ago
Find the surface area of the following figure.
fgiga [73]

Answer:

\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

\qquad\boxed{\sf Area_{(square)}= side^2}

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x  \\\\\sf\implies x = \dfrac{ b}{3}

\rule{200}2

Hence the TSA of cuboid in terms of lenght and breadth is :-

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}

6 0
3 years ago
Find all the zeros of f(x) = 2x - 5x² - 4x + 10.
galina1969 [7]

Answer:

10

Step-by-step explanation:

Plug in 0 where x is

See image below:)

6 0
3 years ago
Please put these in the correct order
Ivahew [28]
The first tile goes to 4p3q2

The second tile goes to 8pq5

The third tile goes to 4p2q5

The fourth tile goes to 8p2q
5 0
3 years ago
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