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
stira [4]
4 years ago
10

A mathematical model for population growth over short intervals is given by PequalsUpper P 0 e Superscript rt​, where Upper P 0

is the population at time tequals​0, r is the continuous compound rate of​ growth, t is the time in​ years, and P is the population at time t. How long will it take a​ country's population to triple if it continues to grow at its current continuous compound rate of 0.86​% per​ year?
Mathematics
1 answer:
Anna35 [415]4 years ago
7 0

Answer:

  12.8 years

Step-by-step explanation:

Put the given numbers into the model and solve for t.

3P_0=P_0e^{.086t}\\\\3=e^{.086t} \qquad\text{divide by $P_0$}\\\\\ln{3}=.086t \qquad\text{take the natural log}\\\\\dfrac{\ln{3}}{.086}=t\approx 12.77

It will take about 12.77 years for the population to triple at the current growth rate.

You might be interested in
How do you write 5,920,178 in expanded form
Rina8888 [55]
Five million,Nine hundred and twenty thousand, One hundred seventy eight
7 0
3 years ago
Read 2 more answers
Help me with this please. And kid please leave me alone cuz I didn't take your points ._.
weeeeeb [17]

Answer:

step 3 addition: 20 + 9 = 29

step 4 subtraction: 29 - 2 = 27

solution 27

Step-by-step explanation:

since there's no more multiplication or division, you add and subtract from left to right

8 0
3 years ago
The registration fee for a used car is 0.8% of the sale price of %5,700. how much is the fee?
KatRina [158]
Before I answer the question, I believe it is important to note that I considered the sign prior to 5,700 as a dollar sign. Then, to determine the registration fee that is to be paid for the car, we multiply the decimal equivalent of the given percentage to the sale price giving us,
                    registration fee = ($5,700)(0.008) = $45.6
Thus, the registration fee costs $45.6. 
8 0
3 years ago
Can someone help me with 11?
nalin [4]

the perimeter equation in 2 times the length plus 2 times the height (2 x 8 + 2 x 6) which equals 12 + 16= 28, the area is length times width so 8 times 6 which equals 48

48 ft is the area; 28 ft is the perimeter

8 0
3 years ago
Read 2 more answers
Pls help. Which of the following numbers represents
serious [3.7K]

Answer:

89percent

Step-by-step explanation:

i am not good at math but what ever

8 0
4 years ago
Other questions:
  • Every line segment has a length ?
    12·1 answer
  • A store has a $489.99 item on sale for 50% off. What is the discount on this item?
    7·2 answers
  • Write the number 16,107,320 in expanded form
    15·2 answers
  • In a survey, 17 high school graduates and 16 non-graduates were asked a qiestion.
    6·1 answer
  • Simplify to create an equivalent expression. \qquad{1+4(6p-9)}1+4(6p−9)
    15·2 answers
  • Please SImplify and Make A fraction!
    10·1 answer
  • A bag contains white marbles and yellow marbles, 18 in total. The number of white marbles is 6 less than 2 times the number of y
    14·1 answer
  • Identify the following division expressionS that have a quotient of 25. (MORE THAN ONE ANSWER)
    7·1 answer
  • Grand Prix racing cars cover a 120 km race at the following
    13·1 answer
  • Please help! I’ll give you brainliest immediately
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!