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
Kruka [31]
3 years ago
5

A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24

, 000(1.063)^w
Matthew claims that the population of ants is growing at a rate of 0.9% per day. Explain why Matthew’s claim is too high of a rate.
Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

You might be interested in
Show all work to receive credit.
Helga [31]

Answer:

angle 1= 70 degrees

angle 2= 65 degrees

angle 3= 65 degrees

angle 4 = 115 degrees

angle 5= 45 degrees

angle 6= 45 degrees

angle 7= 45 degrees

Step-by-step explanation:

8 0
3 years ago
miguel is making an obstacle course for feild day.at the end of every sixth of the course is a tire.at the end of every third of
Bogdan [553]

I hope this helped! Good luck

8 0
3 years ago
sales taxes in the town where Amanda lives at 7% Amanda paid $35 in sales taxes on a new stereo what was the price of the stereo
Tema [17]
$37.45    hbf bgdfgfdbgfnhmjndbfvbdtjmuknhydbgfvck,iytnhjbgfvds
8 0
2 years ago
Which equation matches the function shown in the graph?
Tpy6a [65]
The answer should be D
8 0
2 years ago
Read 2 more answers
un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar
seraphim [82]

Answer:

10 cuadrados

Step-by-step explanation:

Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.

28 - 8 = 20cm

20cm / 2cm = 10cm

Ahora que tenemos todas las medidas podemos multiplicar el largo por el ancho para calcular el area del rectangulo

10cm * 4cm = 40cm^{2}

el cuadrado de 2cm tendra un area de

2cm * 2cm = 4cm^{2}

Ahora simplemente dividimos el area del rectangulo por el area del cuadrado para saber cuantos cuadrados necesitamos para armar ese rectangulo

40cm^{2} / 4cm^{2} = 10 cuadrados

3 0
2 years ago
Other questions:
  • The length and width of a rectangular patio are, (x + 7) feet and (x + 9) feet, respectively. If the area of the patio is 150 sq
    8·1 answer
  • Use the number line to determine the absolute value. Enter the value, as a mixed number in simplest form, in the box. ∣∣−2 2/3∣
    8·1 answer
  • Use the definition of inverse to determine whether f and g are inverses f(x)=6÷x+7,g(x)=7x+6÷x
    5·1 answer
  • The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 p
    8·1 answer
  • A survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy
    12·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
    7·1 answer
  • Pls help i’m desperate
    15·1 answer
  • 6th grade math plz help?
    14·2 answers
  • Why resultant magnitude by using Pythagorean theorem is different than using ( x,y )components addition vectors ???
    10·1 answer
  • The scatter plot shows a regression line of advertising dollars spent and sales. If the company were to spend $6,500 on advertis
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!