All categories

2 years ago

A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario

Mathematics

1 answer:

vfiekz [6]2 years ago

7 0

Answer: $P=2000(1.04)^t$ .

Step-by-step explanation:

It is given that,

Initial population of a town = 2000

Growth rate = 4% = 0.04 per year

The exponential growth function for population is

$P=P_0(1+r)^t$

where, $P_0$ is initial population, r is growth rate and t is number of years.

Substitute $P_0=2000,r=0.04$ in the above equation.

$P=2000(1+0.04)^t$

$P=2000(1.04)^t$

Therefore, the required equation is $P=2000(1.04)^t$ , where P is population after t years.

You might be interested in

NEED HELP WITH THESE QUESTIONS

amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$

Canceling common terms:

$\frac {mn ^ 5} {p ^ 4}$

Answer:

Option A

Question 2:

We should simplify the following expression:

$\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}$

So, we have:

$\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =$

Simplifying common terms:

$\frac {1} {y ^ 2z ^ 2}$

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

$r ^ 2 + 7r + 10$ : We look for two numbers that multiplied give 10 and added 7:

$(r + 5) (r + 2)$

$r ^ 2-5r-50:$ We look for two numbers that multiplied give -50 and added -5:

$(r-10) (r + 5)$

$3r-30 = 3 (r-10)$

Rewriting the given expression we have:

$\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =$

We simplify common terms in the numerator and denominator we have:

$(r + 2)$

Answer:

Option D

4 0

2 years ago

Read 2 more answers

The probability of a tornado occurring in a subdivision in Tornado Alley in the United States has been estimated to be 0.2 for o

hoa [83]

Answer:

Probability is 0.831727

Step-by-step explanation:

The probability can be calculated as below

There are multiple scenarios

Scanerio 1

0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769

Scanerio 2

1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06

Scanerio 3

2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027

Scanerio 4

3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027

P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727

8 0

3 years ago

Find the slope of the line passing through the given points (7, 13) and (2, -12).

tatyana61 [14]

Answer:

The answer is C.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-12)-13/2-7

m=-25/-5

m=5

4 0

2 years ago

Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4,

Katena32 [7]

2x^2 + 8x - 12 = 0..divide by 2
x^2 + 4x - 6 = 0
x^2 + 4x = 6...add 4 to both sides of the equation
x^2 + 4x + 4 = 6 + 4
(x + 2)^2 = 10....<== ur constant is 10
x + 2 = (+-)sqrt 10
x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10
x = -2 - sqrt 10

3 0

3 years ago

Read 2 more answers

Solve for all values of x by factoring. x^2 + 4x – 30 = -3x

vichka [17]

Answer:

${x}^{2} + 4x - 30 = - 3x \\{x}^{2} + 7x - 30 = 0 \\ {x}^{2} - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\ \boxed{x = 3} \\ \boxed{x = - 10}$

<h3>x=3 or x=-10 is the right answer.</h3>

7 0

2 years ago

A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario​

A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario