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.
Answer:
131.14
Step-by-step explanation:
Hope this helps!! Good luck!!
Simpe interest rate = PRT/100
— ( principal x rate x time ) / 100
$3,000 is the principal
3 years is the time
2% is the rate
so, PRT/100
(3,000 x 3 x 2) / 100
= $180
Answer : $180
The volume of a cone is 84.78 cm
<u>Step-by-step explanation</u>:
<u>Given</u>:
radius = 3 cm and
height = 9 cm
<u>To Find</u>:
The Volume of a Cone
<u>Formula</u>:
The Formula for the volume of a cone is
V=πr2 *h/3
<u>Solution</u>:
V=πr2 *h/3
π value is 3.14
V= 3.14*(3)^2*9/3
V=3.14*9*3
V= 84.78 cm
Therefore the volume is 84.78 cm.
