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
Vladimir [108]
2 years ago
5

A certain population of mice is growing exponentially. After one month there are 48. After 2 months there are "192" mice. Write

an equation that represents this scenario(With work)
Mathematics
1 answer:
REY [17]2 years ago
8 0

Answer:

P(t) = 12e^1.3863k

Step-by-step explanation:

The general exponential equation is represented as;

P(t) = P0e^kt

P(t) is the population of the mice after t years

k is the constant

P0 is the initial population of the mice

t is the time in months

If after one month there are 48 population, then;

P(1) = P0e^k(1)

48 = P0e^k ...... 1

Also if after 2 months there are "192" mice, then;

192 = P0e^2k.... 2

Divide equation 2 by 1;

192/48 = P0e^2k/P0e^k

4 = e^2k-k

4 = e^k

Apply ln to both sides

ln4 = lne^k

k = ln4

k = 1.3863

Substitute e^k into equation 1 to get P0

From 1, 48 = P0e^k

48 = 4P0

P0 = 48/4

P0 = 12

Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;

P(t) = 12e^1.3863k

This gives the equation representing the scenario

You might be interested in
The fastest train in the Western Hemisphere is the Acela Express. On a route between Boston, Massachusetts, and New Haven, Conne
Vinil7 [7]
What answer is 75 is the correct answer
3 0
2 years ago
What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4
mart [117]
Hello,

P(x)=x^3-7x-6

P(4)=4^3-7*4-6=30
Remainder=30

6 0
4 years ago
Determine whether the series is convergent or divergent (ln(n))/(n^2)
yawa3891 [41]

Letting n approach infinity results in the undefined "infinity over infinity."

Differentiate numerator and denominator separately, obtaining

1/n

(limit as n approaches infinity of) ------------- = 0. Series is convergent.

2n

6 0
4 years ago
Find two consecutive integers whose sum is 101
andreyandreev [35.5K]
The two integers that sum is 101 is 20.2 and 1
4 0
3 years ago
Calculate the perimeter of the following parallelogram:<br> 10 in<br> 4 in<br> 3 in
Furkat [3]
3 because when you catch
5 0
3 years ago
Read 2 more answers
Other questions:
  • How many 2-digit positive integers are there such that the product of the product of their two digits is 24?
    12·1 answer
  • WILL GIVE BRAINIEST!!! Polygon ABCDE is shown on the coordinate grid. What is the perimeter, to the nearest hundredth of a unit,
    6·1 answer
  • Compute the flux H F of F(x,y) = hxy, x − yi across the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
    5·1 answer
  • Angel walked 1.34 miles from home to school. He then walked 2.12 miles from school to the park. Finally, he walked 1.94 miles fr
    15·1 answer
  • Name a fourth point in plane TUW.
    13·1 answer
  • If you want to place a 9 3/4 inch towel bar in the center of a door that is 27 1/2 wide, how much space will be on each side of
    11·2 answers
  • Find the area I have no idea how to do this
    8·2 answers
  • Riddle: What is seen in the middle of March and April that can’t be seen at the beginning or end of either month?
    5·2 answers
  • Consider the polynomial function g(x)=10x^9-50x^6-500x^2
    12·2 answers
  • Can anyone help me with this please?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!