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:x= 14
Step-by-step explanation:
84
Compensation for the year:$51,810(deducting vehicle expense)
An employee makes 48,700+1,530(health insurance)+2,810(paid time)=
53,040. Also they receive 0.53 per mile x 9,000 miles=4,770
53,040 +4,770=57,810(employment compensation)
Personal work vehicle expense: 500 x 12 months=6,000
57,810 - 6,000= 51,810
Answer:
The probability of randomly choosing a slice of veggie pizza is 3/7
Step-by-step explanation:
Probability is the measure of uncertainty of any event. It is the ratio of number of favorable outcomes to the total number of possible outcomes. That is,
Probability, P(A) = (Number of a Favourable outcome) / (Total number of possible outcomes).
From the question,
There are four slices of pepperoni pizza and three slices of veggie pizza, this means
Total number of favourable outcomes = 4 + 3 = 7
The favourable outcome is the veggie pizza, therefore
Number of favourable outcome = 3
Hence,
Probability P (A) = 3 ÷ 7
P(A) = 3/7
The probability of randomly choosing a slice of veggie pizza is 3/7
Answer:
A) log(jk2y = 7log i + 2logk
Step-by-step explanation:
