Answer:
38.26 years.
Step-by-step explanation:
We have been given that the population of an endangered animal by reduces 8% per year. the current population of the animal is 1700. When the population of this animal falls below 70, its extinction is inevitable.
Let us write the model for population of this animal (y) after x years.
Since we know that an exponential decay function is in form:
, where,
a= Initial value.
r = Rate in decimal form.
Let us convert our given rate in decimal form.

Upon substituting a= 1700 and r = 0.08 in exponential function, we will get the model of animal population as:


Let us find, when the animal population will face extinction by substituting y=70 in our function.

Let us take natural log of both sides of our equation.




Therefore, the population of the animal will face extinction after 38.26 years.
It 4 the answer is 4 alpeass
Answer:
Step-by-step explanation:
divide both sides by 2 to get x+1=3
use the distributive propriety to get 2x+2=6
Answer: 348 and 355
Step-by-step explanation:
Let two positive numbers are x and y
so,
when the difference is 7 then equation will become
x-y=7 Eq(1)
when product is 2439 then equation will become
x*y=2438 Eq (2)
By rearranging Equation (2)
x= 2438/y Eq(3)
Now put the value of x as in eq (3) in eq(1) to get y's value
(2438/y)-y=7
(2438-1)/y =7
2437 / y =7
2437/7 =y
y=348.14 approx 348
Put the value of y in Eq(1) for x
x-348=7
x=7+348
x=355
so the two positve numbers are 355 and 348
For Check
x-y=7
355-348=7
7=7
Answer:
Step-by-step explanation:
when you put it into slope intercept form you get
y=2x-3
2 is the slope, so
y=2x+3 would have the same slope which means these lines are parallel.