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Kruka [31]
3 years ago
8

Solve for t: A= p + prt

Mathematics
1 answer:
drek231 [11]3 years ago
3 0
<span>Solve for t: </span>t=<span><span>a−p/</span><span>pr</span></span>
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The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0
3 years ago
Given m||n, find the value of x.<br> +<br> (5x+16)<br> mm<br> (6x-7)
kupik [55]

Based on the definition of congruent angles, the value of x is: 23.

<h3>What are Congruent Angles?</h3>

Congruent angles have the same measure. Examples of angles that are congruent are:

  • Alternate interior angles
  • Alternate exterior angles
  • Corresponding angles

Thus:

(5x + 16) = (6x - 7) -- congruent angles

Combine like terms

5x - 6x = -16 - 7

-x = -23

x = 23

Therefore, based on the definition of congruent angles, the value of x is: 23.

Learn more about congruent angles on:

brainly.com/question/1675117

5 0
2 years ago
Find the value of f (2).
saw5 [17]

Step-by-step explanation:

The value of f(2) is -5.

4 0
2 years ago
Read 2 more answers
4. Expand and simplify the following surds:<br>1. (7+2√3)(7-2√3)​
Iteru [2.4K]

how to get free weapon skins in rainbow six siege console games and my game sense is really good and I play Fragger in my team

5 0
3 years ago
Find f(-2) for the function f (x) = 3x^2-2x+7
barxatty [35]

Answer:

23

Step-by-step explanation:

plug -2 in for x then solve

4 0
3 years ago
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