1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naya [18.7K]
2 years ago
8

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approxi

mate the population of the town 5 years from now.
________ residents (round to nearest whole number)
Mathematics
1 answer:
Bingel [31]2 years ago
4 0

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

A(t) = A(0)(3)^{(\frac{t}{n})}

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that A(0) = 2463, n = 12. So

A(t) = A(0)(3)^{(\frac{t}{n})}

A(t) = 2463(3)^{(\frac{t}{12})}

Approximate the population of the town 5 years from now.

This is A(5). So

A(t) = 2463(3)^{(\frac{t}{12})}

A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8

Rounding to the nearest whole number, 3893 residents.

You might be interested in
How to change 611/17 to improper fractions
Annette [7]
This is the answer ....

3 0
3 years ago
Read 2 more answers
Evaluate 3^-1 times (4 times 6) times 2^-3
Sergio [31]

3^-1 * (4 *6) * 2^-3

1/3 * (24) * 1/8

1/24 * 24

1

Answer : 1

4 0
3 years ago
Read 2 more answers
What numbers make the product of 17? None?
skad [1K]

Answer:

there is no Pairs that equal 17

Step-by-step explanation:

5 0
2 years ago
I need help on this to please
vampirchik [111]

Answer:

2,4

Step-by-step explanation:

because i said so

7 0
3 years ago
Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, -4>, v = <-4, -3> (1 point)
sesenic [268]

Angle between u = -5i-4j , v=-4i-3j is x =0° .

<u>Step-by-step explanation:</u>

We have , two vectors u = <-5, -4>, v = <-4, -3>  or , u = -5i-4j , v=-4i-3j

We need to find angle between these two vectors . Let's find out:

We know that dot product of two vectors is defined as :

u.v =|u|(|v|)cosx , where x is angle between u & v !

⇒ u.v =|u|(|v|)cosx

⇒ cosx =\frac{u.v}{|u|(|v|)}

Now , u.v = (-5i-4j)(-4i-3j)

⇒ u.v = (-5i-4j)(-4i)-(-5i-4j)(3j)

⇒ u.v = 20+12            { i(j) = j(i) =0  }

⇒ u.v = 32

Now , Modulus of any vector  r = xi+yj is |r| = \sqrt{x^{2}+y^{2}} So ,

|u| = \sqrt{(-5)^{2}+(-4)^{2}} = \sqrt{25+16} = \sqrt{41} \\\\|v| = \sqrt{(-4)^{2}+(-3)^{2}} = \sqrt{16+9} = \sqrt{25} = 5

Putting all these values in equation cosx =\frac{u.v}{|u|(|v|)} we get:

⇒ cosx =\frac{32}{5(\sqrt{41})}

⇒ cos^{-1}(cosx) =cos^{-1}(\frac{32}{5(6.4)})

⇒ x =cos^{-1}(1)                 { cos0 = 1  }

⇒ x =0°

Therefore , Angle between u = -5i-4j , v=-4i-3j is x =0° .

8 0
3 years ago
Other questions:
  • Marisol has enough tile to cover a square portion of her patio with an area of 225 ? What will be the side lengths of her
    10·2 answers
  • Need answers please !!!!
    12·1 answer
  • Idk how many ive asked just today
    10·2 answers
  • Sue's ice cream cone has 6 more scoops than Tessa's ice cream cone. Sue's ice cream cone has 9 scoops. How many scoops are on Te
    12·2 answers
  • Why is surface area so important?
    6·1 answer
  • Which expression is equivalent to look at the pic I GIVE BRAINLY AND EX POINTS
    6·1 answer
  • Express 20 hours at the percentage of 10 days pllzzzz
    8·2 answers
  • The base of an isosceles triangle is 12 cm and its perimeter is 48 cm find its area​
    6·2 answers
  • 13. What is the measure of ZQPU?<br> T<br> P<br> 70°<br> S<br> R
    7·1 answer
  • Use the law of cosines round to the nearest tenths
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!