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
Anuta_ua [19.1K]
3 years ago
5

Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate

the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%. If P represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?
Mathematics
2 answers:
salantis [7]3 years ago
8 0
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
     Pa = Pb
     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
     (0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Vikki [24]3 years ago
4 0
For these types of problems, the equations of the form should be considered:
 y = A * (B) ^ t
 Where:
 A: initial population.
 B: annual exchange rate.
 T: Time in years.
 Then the equations of the system that must be used to find the time in which both are equal are:
 1, 3,00,000 * (1-0,038) ^ t for the type of insect A
 2, 1 00 000 * (1-0,046) ^ t for the type of insect B.
You might be interested in
I'm so confused please helpppppppp<br><br> How is C correct please show your work
777dan777 [17]

Answer:

Step-by-step explanation:

She makes $325 a week, so go to the 8th row, for weekly income of $300 to $400.  She claims 2 exemptions, so go to the third column labeled 2.  The value is 2.  That means the $2 is withheld from her paycheck on top of the 6.25% for FICA.  The total is therefore:

$2 + (0.0625) ($325)

$22.3125

Rounded to the nearest cent, that's $22.31.

3 0
3 years ago
Suppose y=f(x)+k. what effect does k have on the parent function?
Aleksandr [31]
It moves it up and down

6 0
3 years ago
Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.​
ivann1987 [24]

Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

= 7+4+2+ 3+ 10

= 26

3 0
3 years ago
The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.
dalvyx [7]
L•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards
4 0
3 years ago
√58 what would be the answer to this?
Maru [420]

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

8 0
1 year ago
Other questions:
  • A jacket is advertised to be 85% off the original price. If the sale price is $102 what is the original price ?
    6·1 answer
  • A random sample of n=25 individuals is selected from a population with μ=20 , and a treatment is administered to each individual
    8·1 answer
  • Find the square root of each. If the radicand is not a perfect square, estimate the square
    6·2 answers
  • 3. Find the total surface area.<br>16 cm<br>36 cm<br>12 cm​
    14·1 answer
  • The length of a rectangle is five less than three times the width. The perimeter is 46 inches .Find the length and width
    9·1 answer
  • What is 3.4/2.24 equal to? The four possible answers are 340/224, 34/224, 34/2.24, and 3.4/224 which one is correct
    13·1 answer
  • If c is a number with no exponent, what is the value of c in the equation below?
    12·2 answers
  • On a piece of paper graph y&gt;=2x-3
    10·1 answer
  • How many 1 fourths are in 3 fourths?
    6·1 answer
  • The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!