Answer:
The population is expected to be 5515 animals in 12 years.
Step-by-step explanation:
This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:
final population = initial population * (1 - r)^(t)
Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:
final population = 6000*(1 - 0.007)^(12)
final population = 6000*(0.993)^12 = 5514.9582 animals
The population is expected to be 5515 animals in 12 years.
Answer:
The function p = 75h represents this situation.
Step-by-step explanation:
We know the equation of linear equation in the slope-intercept form is

where
m = rate of change = slope
b = y-intercept
- Let 'h' be the number of hours
Given that Lian is paid SR 75 per hour.
so the rate of change of slope = m = 75
As there is no initial condition, so b = 0
as
y = mx+b
Now, mapping the information data into the slope-intercept form
Thus, the equation becomes
p = 75h
Therefore, the function p = 75h represents this situation.
VERIFICATION:
Given the equation
p = 75h
for h = 1
p = 75(1)
p = 75
Thus, Liam is paid SR 75 per hour.
First write down the formula which is: y=mx+b
M is the slope and B is the y-intercept
The slope is rise/run, so if your slope is 2 then, 2 is your rise and 1 is your run
In order to find the y intercept you have to plot the points given in your question and and move your rise down and moving the run to the left until you find your y-intercept
Once you find the y-intercept, just plug in your slope and y-intercept
After solving
we get value of x: 
Step-by-step explanation:
We need to solve the equation
to find value of x
Solving

Adding -e on both sides


Multiply both sides by dx

Divide both sides by M-e

Divide both sides by d

So, After solving
we get value of x: 
Keywords: Solving Equations
Learn more about Solving Equations at:
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Volume of the sphere is 300 m³
Step-by-step explanation:
- Step 1: Calculate volume of the sphere using the formula V = 4/3πr³, where r = d/2 = 4m
⇒ V = 4/3 × 3.14 × 4³ = 267.95 = 300 m³ (rounding off to the nearest hundredth)