If the population of a country increases at a rate of 1.5% annually, and its current population is 430,000, how many years will it take for the population to triple?
Answers
Answer:
Hence, it will take about 73 years for the population to triple.
Step-by-step explanation:
For this case we have an exponential function P(t) which represents the population at time 't' ; which is given as:
i.e. the equation is represented of the form:
Where,
A: initial amount ( Here we have A=430000)
b: growth rate (Here we have b=1.015)
t: time in years.
As the population has to triple over the time.
Hence, Substituting values we have:
⇒
Taking logarithmic function on both side we have:
( Since )
⇒
Hence, It will take for the population to triple about:
t = 73 years
3=(1.015)^n
n=Log(3)/log(1.015)
n=??
Related Questions
The following function represents the value of a house, in dollars, after x years:f(x) = 242,000(1.04)x What does 242,000 represent? The present value of the house The value of the house after x years The increase in the value of the house each year The increase in the value of the house after x years
18-6and -18+6 is the same thing
Consider the following set of equations: Equation C: y = 2x + 8 Equation D: y = 2x + 2 Which of the following best describes the solution to the given set of equations? No solution One solution Two solutions Infinite solutions
Tom gets $12 off a box of chocolates that had an original priceof $48. What percentage is the discount?
Answers
Answer:
No
Step-by-step explanation:
Answers
Answer:
a. 40 + 20 + 3 + 6
Step-by-step explanation:
Points scored by Hessa is as shown below;
Round 1 = 43 points
Round 2 = 26 points
Total points for both rounds = 43 + 26 = 69 points
To determine the sum she could use to add the points together, we must select the sum that will give us the same total of points for both rounds i.e 69 points.
The Round 1 score (43 pt)can also be expressed as (40+3) points
The Round 2 score (26 pt)can also be expressed as (20+6) points
The sum she could use to add the points together will be (40+3)+(20+6)
which is also equal to 40 + 20 + 3 + 6 = 69points
Hence, option a is correct
Answers
(x+13)=32
(4x-44)=32
Answer:
memers will always dance
Step-by-step explanation:
Answers
Answer:
i cant read it sorry
Step-by-step explanation:
Answers
Let amanda's age be x and her dad's age be y.
Amanda’s dad is twice as old as she, therefore 2x=y
The sum of their ages is 66, therefore x+y=66
x+y=66
2x=y,
substitute.
2x+x=66
3x=66
Divide.
x=22.
plug it back in, 22+y=66, y=44.
Amanda's age is 22 and her dad's age is 44.
Answers
The amount of time his teammate have to catch the ball is equal to 1.774 seconds.
Given the following function:
- f(x) = -16t² + vt + s.
- Displacement, s = 6ft.
- Velocity, v = 25 ft/s.
How to calculate the amount of time?
In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:
f(t) = -16t² + 25t + 6.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c =0
Where:
a = -16.
b = 25.
c = 6.
Solving the function by using the quadratic formula, we have:
t = [-b ± √(b² - 4ac)]/2a
t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)
t = [25/32 ± (-1/32)√1009]
t = 25/32 ± (-0.993)
t = 0.781 ± 0.993
t = 0.781 + 0.993
Time, t = 1.774 seconds.
Note: We ignored the negative value because time cannot be negative.
Read more on quadratic equation here: brainly.com/question/1214333
Answer:
B
Step-by-step explanation:
The verified dude saisd so