Answer:
The population in 40 years will be 1220.
Step-by-step explanation:
The population of a town grows at a rate proportional to the population present at time t.
This means that:

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The initial population of 500 increases by 25% in 10 years.
This means that 
We apply this to the equation and find t.




Applying ln to both sides




So

What will be the population in 40 years
This is P(40).


The population in 40 years will be 1220.
Answer:0.55
Step-by-step explanation:
1/5 + 1/4 + 1/10
add them all together
adds up to 0.55
Answer:
Step-by-step explanation:
The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r
Common ratio = 6/3 = 12/6 = 2
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 3
r = 2
The function, f(n), representing the nth term of the sequence is
f(n) = 3 × 2^(n - 1)
Answer:
7
Step-by-step explanation:
Recall that a factor is a number that can divide a number and return a whole number as the quotient.
In this case, 91 / 7 = 13
So 7 is a factor
Answer:80cm^2
Step-by-step explanation:
Area of a parallelogram=base×height
In the above diagram we were given a base of 16cm and height of 5cm
Therefore area of the parallelogram=16×5 which is equal to 80cm^2