The population of a certain animal species decreases at a rate of 3% per year. You have counted 80 of the animals in the habitat you are studying. Write a function that models the change in the animal population.


A: f(x) = 80(3)^x

B: f(x) = 80(.03)^x

C: f(x) = 80(.97)^x

D: f(x) = 80(1.03)^x

Step-by-step explanation:

a(3x-8)=b-18x

TRANSPOSE

a(3x +18x)=b+8

a(21x)=b+8

Answer:

1/4

Step-by-step explanation:

comparing with y=mx+c

Answer:

[tex]x\approx 7.0[/tex]

Step-by-step explanation:

Since we are given a right triangle, we can use right trigonometric ratios.

x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:

[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]

Solve for x:

[tex]x=10\tan(35^\circ)[/tex]

Use a calculator:

[tex]x=7.0020...\approx 7.0[/tex]

x=7 yards

Answer:

Solution Given:

Opposite = x

base=10yards

and angle is 35°

we know that

relationship between opposite and base is given by Tan angle

so

Tan 35°= opposite/base

Tan 35°*10=x

x= 7.002

x≈7 yards

Answer:

[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]

Answer: 27

Step-by-step explanation:

Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:

= 18/24 = 3/4 .

If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:

= 3/4 × 36

= 3 × 9

= 27 penalty kicks.

Answer:

x#2 and x-2 is the same

Step-by-step explanation:

Answer:

Divide

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

The formula for finding the area of a triangle is base · height ÷ 2, or [tex]\frac{bh}{2}[/tex]

After plugging in the numbers given to the formula, we find that the area of the triangle is 27.

Then to account for the length, we multiply the area of the triangle by 10.

This gets us to 270.

Answer:

y ≈ 6.7

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26.5° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{15}[/tex] ( multiply both sides by 15 )

15 × sin26.5° = y , then

y ≈ 6.7 ( to 1 dec. place )

Answer:

He placed his most loyal subjects in government jobs. He developed civil service exams to reduce corruption. He enforced strict rules for workers to ensure job effectiveness.

Answer:

ahh

Step-by-step explanation:

Answer:

Attached below is the missing figure

answer :  ∠ABD = ∠AbC  + ∠ CbD

Step-by-step explanation:

when Line BC is drawn to divide ∠ABD equally

solving each angle :

∠ABD  >  ∠AbC also angle

∠ABD  >  ∠ CbD

∴ ∠ABD = ∠AbC  + ∠ CbD

assuming ∠B = 60°

therefore ∠b = 60 / 30 = 30°

Answer:

Step-by-step explanation:

x ≤ 165

Hope that helps!

Answer:

The area is 36m^2

Step-by-step explanation:

6×6=36

Answer:

6 x 6 = 12

Step-by-step explanation:

area is length x width and all sides on a square are congruent ( so all of the sides are 6)

Answer:

d

Step-by-step explanation:

I took the test .......................

Answer:291

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

hoped this helped.

Answer:

Given function

The value of y at x = 6:

The closest choice is :

The y-intercept is the value of y when x = 0

This is the initial temperature at zero minute time, before heating is applied.

Correct choice is:

Answer:

im not sure but i think its 0.25

Step-by-step explanation:

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cosec A is (√61)/(6).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The Cot is the ratio of the base of the triangle to the perpendicular side of the triangle, therefore, we can write,

Cot A = Base/Perpendicular = 5/6

Thus, the base of the triangle is 5 units, while the length of the perpendicular of the triangle is 6 units. Now the length of the hypotenuse side of the triangle is,

H² = 5² + 6²

H² = 25 + 36

H = √61

Now, the value of Cosec A can be written as,

Cosec A = Hypotenuse/Perpendicular = (√61) / (6)

Hence, the value of Cosec A is (√61)/(6).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ1

Answer:

A = $27,445.50

Step-by-step explanation:

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 0.0825%/100 = 0.000825 per year.

Solving our equation:

A = 27000(1 + (0.000825 × 20)) = 27445.5

A = $27,445.50

The total amount accrued, principal plus interest, from simple interest on a principal of $27,000.00 at a rate of 0.0825% per year for 20 years is $27,445.50.

Answer: $11741

Step-by-step explanation:Rate 1: 8

4

1

​

%=8+1/4=

\,\,8.25\%\rightarrow 0.0825

8.25%→0.0825

\text{Rate 2: }8\tfrac{5}{8}\%=8+5/8=

Rate 2: 8

8

5

​

%=8+5/8=

\,\,8.625\%\rightarrow 0.08625

8.625%→0.08625

\text{Calculate Final Amount for Aubree}

Calculate Final Amount for Aubree

\overline{\phantom{\text{Calculate Final Amount for Aubree}}}

Calculate Final Amount for Aubree

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+

n

r

​

)

nt

P=27000\hspace{35px}r=0.0825\hspace{35px}t=20\hspace{35px}n=12

P=27000r=0.0825t=20n=12

A=27000\left(1+\frac{0.0825}{12}\right)^{12(20)}

A=27000(1+

12

0.0825

​

)

12(20)

A=27000(1.006875)^{240}

A=27000(1.006875)

240

A=139796.9278

A=139796.9278

\text{Calculate Final Amount for Addison}

Calculate Final Amount for Addison

\overline{\phantom{\text{Calculate Final Amount for Addison}}}

Calculate Final Amount for Addison

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=27000\hspace{35px}r=0.08625\hspace{35px}t=20

P=27000r=0.08625t=20

A=27000e^{0.08625(20)}

A=27000e

0.08625(20)

A=27000e^{1.725}

A=27000e

1.725

A=151538.0678

A=151538.0678

\text{How much more money Addison has:}

How much more money Addison has:

151538.0678-139796.9278

151538.0678−139796.9278

Answer:

what is the question? it's not clear

Answer:

(10/3, -1)  

Step-by-step explanation:

So there are two different ways.  

First you could address for y and fitting it into the number cruncher. one condition for y1 and another for y2. At that point go second follow and press 5 and afterward press enter multiple times to discover the convergence.  

the subsequent path is to tackle by hand. I would recommend address the primary condition for y and attachment the condition tackled for y into the other condition. so y = - 3x + 9 and 3x-5y=15. At that point you could do 3x - 5(- 3x+9) = 15. At long last address for x and plug in x into the two conditions to check whether you get a similar y esteem.  

The appropriate response ought to be (10/3, - 1)

Answer:

x = 3 1/3, x = -1.

Step-by-step explanation:

3x + y = 9

3x - 5y = 15

Subtract second equation from the first to eliminate the 3x :

3x - 3x + y - (-5y) = 9 - 15

6y = -6

y = -1.

Plug y = -1 in first equation:

3x + -1 = 9

3x =  10

x = 10/3 = 3 1/3.

Answer:

(-2,0)

Step-by-step explanation:

Answer:7cm difference

Step-by-step explanation:when the circumference is 55 the diameter is 17 when the circumference is 33 the diameter is 10

17-10=7

Answer:4

Step-by-step explanation:

Answer:

90 because you have one lollipop in each bag and then your will have 15 dollars left

Step-by-step explanation: