Find the difference: +30 - - 10 = <br><br><br><br>

Suppose that poaching reduces the population of an endangered animal by

Sedbober [7]

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: $y=a*(1-r)^x$ , where,

a= Initial value.

r = Rate in decimal form.

Let us convert our given rate in decimal form.

$8\%=\frac{8}{100}=0.08$

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

$y=1700*(1-0.08)^x$

$y=1700*(0.92)^x$

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

$70=1700*(0.92)^x$

$\frac{70}{1700}=\frac{1700*(0.92)^x}{1700}$

$0.0411764705882353=0.92^x$

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

$ln(0.0411764705882353)=ln(0.92^x)$

$ln(0.0411764705882353)=x*ln(0.92)$

$-3.1898882879949483163=x*-0.0833816089390511$

$x=\frac{-3.1898882879949483163}{-0.0833816089390511}$

$x=38.2564971890460849445284\approx 38.26$

Therefore, the population of the animal will face extinction after 38.26 years.

5 0

4 years ago

How do you simplify this question x^3z^7/x^5z

Luda [366]

Answer:

go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.

Step-by-step explanation:

7 0

3 years ago

Find the lateral surface area of the cylinder. Round to the nearest hundredth if necessary.

katovenus [111]

Answer: 276.32

Step-by-step explanation:

2πr^2+2πrh

2(3.14)(4)^2+2(3.14)(4)(7)

2(3.14)(16)+2(3.14)(28)

2(50.24)+2(87.92)

100.48+175.84

276.32

5 0

3 years ago

Read 2 more answers

Darko found the distance between points A(3,-4) and B(-1,3) his work is shown below

fiasKO [112]

We know that in two dimensional co-ordinate geometry, the distance,d, between any two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We will use the above formula that Darko must have used to find the distance between the two points A(3,-4) and B(-1,3). In this case: $(x_1,y_1)=(3,-4)$ and $(x_2,y_2)=(-1,3)$ .