An animal reserve has 20,000 elk. The population is increasing at a rate of 13% per year. How long will it take for the population to reach 60,000? If necessary, round your answer to the nearest tenth. The population will reach 60,000 in approximately years.

Answer:

Correct Choice: Second Option

[tex]\displaystyle x=\frac{5\pm \sqrt{97}}{12}[/tex]

Step-by-step explanation:

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have the following equation to solve:

[tex]5x = 6x^2 -3[/tex]

Rearranging all the terms to the left side:

[tex]6x^2 -5x- 3=0[/tex]

Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:

[tex]\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}[/tex]

[tex]\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}[/tex]

[tex]\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}[/tex]

Correct Choice: Second Option

Answer:

8 teams is answer

Step-by-step explanation:

Answer:

Your answer is: I think C) 3.973

Because ↓

Step-by-step explanation:

Hope this helped : )

Answer:

Yes, but doing so will clear out his account.

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

Aaron's bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:

Transaction

Cost ($)

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already

Aaron's bank account balance=$1213.69

He made all this transactions below;

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

The summation of all his transactions is;260.16+97.98+75.00+115.35+68.53+

331.84= $948.86

Which means after performing those transactions above, he was left with $948.86.

We were informed that Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83.

For him to paint his car now he will spend $264.83, if we add with the previous transactions it sum up to $1213.69 which was actual amount he has at hand. I.e ($264.83+$948.86)=

$1213.69

Therefore, the answer is Yes, but doing so will clear out his account.

Answer: y= (4/5)x+6

Step-by-step explanation:

(0,6) is the y intercept/b . Use y2-y1 for the slope/m. Y= Mx+b now is y=(4/5)x+6.

Answer:

(a) 30 feet

(b) 30 feet.

Step-by-step explanation:

Given that the opening of a tunnel that travels through a mountainside can be modeled by

[tex]y=\frac{-2}{15} (x-15)(x+15)[/tex], where x and y are measured in feet.

[tex]\Rightarrow y=\frac{-2}{15}(x^2-15^2}[/tex]

[tex]\Rightarrow y=\frac{-2}{15}{x^2-225}\cdots(i)[/tex]

(a) At the ground level, [tex]y=0[/tex]

So, the width of the tunnel at ground level is distance between the extreme point of the tunnel on the grount.

For, [tex]y=0[/tex], the extreme points of the tunnel.

[tex]0=\frac{-2}{15} (x-15)(x+15)[/tex]

[tex]\Rightarrow (x-15)(x+15) =0[/tex]

[tex]\Rightarrow x= 15, -15[/tex]

So, the extreme points of the tunnel are, [tex]x_1=15[/tex] and [tex]x_2=-15[/tex].

Hence, the width of the tunnel at the ground level

[tex]= | x_1 - x_2 |[/tex]

[tex]=|15-(-15)|[/tex]

[tex]=30[/tex] feet.

(b) The maximum height of the tunnel can be determiment by determining the maxima of the given function.

First determining the value of x for which the slope of the graph is zero.

[tex]\frac{dy}{dx}=0[/tex]

From equation (i),

-2x=0

[tex]\Rightarrow x=0[/tex]

And  [tex]\frac{d^2y}{dx^2}= -2[/tex]

which is always negative, so at x=0 the value of y is maximum.

Again, put x=0 in equation (i), we have

[tex]y=\frac{-2}{15}{0^2-225}[/tex]

[tex]\Rightarrow y=30[/tex] feet.

Hence, the tunnel is 30 feet tall.

Y-3=1/5(x+2) is the answer.

Answer:

7cakes and 4 pies

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer: (-9,125)

When you graph this the intersection point is that.

Answer: y= -55, 135

X= -10, -9

Step-by-step explanation:

Here is a picture of my work. With this type of problem there are a multiple ways of finding your x and y values.

Answer:

Value over a defined period of time, and it represents the momentum of a variable. ✨

Step-by-step explanation:

Answer:

Exact Form:

1 /216

Step-by-step explanation:

Answer:

y=5-4(x-2)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

.77

Answer:

0.77

Step-by-step explanation:

It goes on and on most people but just say 0.77

Answer:

y= -7x+22/-4

Step-by-step explanation:

Answer:

y=7/4x-11/2

Step-by-step explanation:

Move the Y and x values to separate sides

-4y=-7x+22

divide whatever it takes to make y alone (dived by -4)

y=7/4x-11/2

Answer:

I may be wrong but I beileve its A(-20)

Step-by-step explanation:

Answer: Hey there The answer is simple is -20

Step-by-step explanation:

(2)(12)/-3-12=-20

hope this helps

Answer:

B

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation: got it right

The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (8, 7) and (4, 5).

Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get

Slope = (5-7)/(4-8

= -2/(-4)

= 1/2

Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ6

Answer:

7425

Step-by-step explanation:

First let's make the last two fractions improper.

-4  1/2 = -9/2    -2  1/5 = -11/5

Now we have to find the least common denominator.

[tex]\frac{5}{6} *\frac{-9}{2}*\frac{-11}{5}[/tex]

The least common denominator is 30 because all the denominators can be multiplied by something to get 30.

[tex](\frac{5}{5})*\frac{5}{6}* (\frac{15}{15})*\frac{-9}{2}* (\frac{6}{6})*\frac{-11}{5}[/tex] Simplify

[tex]\frac{25}{30}*\frac{-135}{30}*\frac{-66}{30}[/tex] simply

[tex]\frac{-3375}{30}*\frac{-66}{30}[/tex]

[tex]\frac{222750}{30}[/tex] simply

7425

Answer:

C. 1458 cubic units

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

hope this helped youuu

Answer:

C. 1458 cubic units.

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

Hope this helps you!!

Please Mark me Brainleast!!!!!!!

Answer:THE ANSWER IS BLOCKED AND DELETED FROM THE ACCOUNT OR THE INTERNET ACCESS IS LOW OR YOUR BATTERY IS NOT WORKING PROPERLY TRY AGAIN LATER

Answer:

The correct answer is the second option

Answer:

The answer is -115

Step-by-step explanation:

Answer:

-115

Step-by-step explanation:

Ur welcome

Answer:

283.75

Step-by-step explanation:

  525/4=131.25

131.25+110=241.25

525-241.25=283.75

Answer:

1/36

Step-by-step explanation:

A dice have 6 faces, each face have 1/6 chance to land on, so the chance of landing on 3 two times in a row is 1/6 x 1/6 = 1/36

Answer:

Step-by-step explanation:

0.6x − 5 = 0.1x + 7

.6x-.1x=.5x

.5x -5 = 7

7 + 5 = 12

.5x = 12

12/.5 = 24

x = 24