Answer: the population after 10 years is 12036
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 14000
r = 1.5% = 1.5/100 = 0.015
t = 10 years
Therefore, the exponential decay equation to find the population of the town after 10 years is
A = 14000(1 - 0.015)^10
A = 14000(0.985)^10
A = 12036
Answer:
Length of the garden= 7 feet while the width =28 feet
Step-by-step explanation:
Let the length of the garden be L while the width represented as W
From the question, we deduce the following:
W = 4L
Perimeter = 2(L + W) = 70 feet .... substituting W = 4L into this equation gives
70 = 2(L + 4L)
70 = 2(5L)
70 = 10L ... dividing both sides by 10 gives
L = 7
Recall from the first equation that W = 4L
W = 4 * 7 =28
Answer:
2nd option: 2y=6x+8 and y=3x+4
Step-by-step explanation:
If you divide the first by 2, you get the second equation.
This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.
In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.
Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation
Visualize the distance traveled as the two side lengths of a right triangle, for this we can use the pythagorean theorem to solve for the hypotenuse (which is the shortest distance from his house to his office).
a²+b²=c²
6²+4²=c²
36+16=c²
52=c²
7.21=c
Answer=7.21km
Step-by-step explanation:
Simply input 3 for x in the equation.
