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ch4aika [34]
1 year ago
15

Approximately how many years will it take for the world’s population to increase to 8,252,000,000 people? Since there will be th

e original 100% plus an additional 2% each year, the base in the exponential equation is 1.02. Use the equation 8252=(6080)(1.02)x, where x is the number of years. Round to the nearest year.
Mathematics
1 answer:
grin007 [14]1 year ago
8 0

The number of years it will take for the world’s population to increase to 8,252,000,000 people is 16

<h3>How to determine the number of years?</h3>

This implies that we calculate the value of x

The equation is given as:

8252=(6080)(1.02)^x

Divide both sides by 6080

1.36 = (1.02)^x

Take the logarithm of both sides

log(1.36) = x * log(1.02)

Divide both sides log(1.02)

x = log(1.36)/log(1.02)

Evaluate the quotient

x = 16

Hence, the number of years is 16

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

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Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a
saw5 [17]

Answer:

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

<u>Our system of equations:</u>

<u>x + y = 12</u>

<u>7x + 12y = 104</u>

Correct statement and question:

Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.

Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Step 1:

Let x to represent the number of matinee shows Alejandro went to.

Let y to represent the number of evening shows Alejandro went to.

Now, let's write our system of equations:

x + y = 12

7x + 12y = 104

*********************

x = 12 - y

*********************

7 (12 - y) + 12y = 104

84 - 7y + 12y = 104

5y = 104 - 84

5y = 20

y = 20/5

<u>y = 4 ⇒ x = 12 - 4 = 8</u>

<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>

4 0
3 years ago
How to calculate the percentage of the third year .i want extra detailed steps
nirvana33 [79]
Nobody wants to do these because, I don't know why.
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3 years ago
A body and tackle with a velocity ratio of 5 is used to raise a mass of 50kg through a vertical distance of 20n at a steady rate
matrenka [14]

a. Distance moved by effort = 1 meter

b. Work done by effort = 80 Joules

c. Losses in energy = 18 Joules

<h3>How to determine the parameters</h3>

a. Note that velocity ratio is defined as the ratio of a distance through which any part of a machine moves to the distance moved by its parts

Velocity ratio = distance moved by the effort/distance moved by the body

Where velocity ratio = 5

vertical distance = 20cm

Distance moved by effort = 5 × 0. 20 = 1 meter

b. Formula for work done is given as ;

Work done = Effort × distance moved by effort

Work done = 80 × 1

Work done = 80 Newtons

c. First, let's find the work output

Work output = m g h

Work output = 50 × 9.8 × 0. 20

Work output = 98 Joules

Losses in energy = Work output - work done

Losses in energy = 98 - 80

Losses in energy = 18 Joules

Learn more about work done here:

brainly.com/question/25573309

#SPJ1

7 0
2 years ago
... If g(x)= x^2 + 3x, what is the value of g(-3).<br> (1) 0<br> (3) 18<br> (2)3<br> (4) 21
diamong [38]

Answer:

g(-3) = 0

Step-by-step explanation:

hello :

g(-3) = (-3)² + 3(-3) = 9-9 =0

3 0
2 years ago
Please help with this!!!<br> In need of a answer fast!
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I don’t see the question.
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