An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t) = 20,000 (1.08)^t where t represents time in years and P(t) represents the elk population. What is the estimated population of elk in 6 years?

Answer:

y= 3/2x+3/2 btw add these and that is your answer then y=-4

Step-by-step explanation:

Answer: 15.44 m

Step-by-step explanation:

We can think this as two triangle rectangles.

In both cases, the adjacent cathetus is 120m.

When the angle is 32°, the opposite cathetus will be the height of the cliff.

When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.

Then we need to compute both of them and calculate the difference.

We can use the trigonometric relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

in this case we have:

Tan(32°) = (height of the cliff)/(120m)

Tan(32°)*120m = height of the cliff = 74.98m

Now we can use the other angle to compute:

Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m

Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m

Then the height of the flagpole will be:

H = 90.42m - 74.98m = 15.44 m

Answer: 2^-3 = 0.125

Step-by-step explanation:

Just took a test over it :)

Answer:

10 dinners

Step-by-step explanation:

We solve using the Least Common Multiple Method.

We are told:

Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.

We find the Multiples of 2 and 10

Multiples of 2:

2, 4, 6, 8, 10, 12, 14

Multiples of 10:

10, 20, 30

Therefore,

LCM(2, 10) = 10

The least number of dinners that Manny can make without any supplies leftover is 10 dinners

Answer:

Step-by-step explanation:

By definition, Markup is the difference between a product's selling price and cost as a percentage of the cost.

For example, if a product sells for $125 and costs $100, the additional price increase is ($125 – $100) / $100) x 100 = 25%.

Given data

firstly let us solve for 40% of $30

=40/100*30

=0.4*30

=$12

therefore the sale price will be the markup rate plus the initial price

Hence the you will have to pay 12+30=$42

Answer:

2.5 km

Step-by-step explanation:

Final Answer: [tex]x = 12[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the equation [tex]\frac{1}{2}x + 3 = \frac{2}{3}x + 1?[/tex]

Step 1: Simplify [tex]\frac{1}{2}x[/tex] to [tex]\frac{x}{2}[/tex].

[tex]\frac{x}{2} + 3 = \frac{2}{3}x + 1[/tex]

Step 2: Simplify [tex]\frac{2}{3}x[/tex] to [tex]\frac{2x}{3}[/tex].

[tex]\frac{x}{2} + 3 = \frac{2x}{3} + 1[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (LCM of [tex]2, 3[/tex]).

[tex]3x + 18 = 4x + 6[/tex]

Step 4: Subtract [tex]3x[/tex] from both sides.

[tex]18 = 4x + 6 - 3x[/tex]

Step 5: Simplify [tex]4x + 6 - 3x[/tex] to [tex]x + 6[/tex].

[tex]18 = x + 6[/tex]

Step 6: Subtract [tex]6[/tex] from both sides.

[tex]18 - 6 = x[/tex]

Step 7: Simplify [tex]18 - 6[/tex] to [tex]12[/tex].

[tex]12 = x[/tex]

Step 8: Switch sides.

[tex]x = 12[/tex]

~I hope I helped you :)~

Answer:

a and d

Step-by-step explanation:

it has a ratio comparison

Answer:

I believe its the last one

Answer:

the last one.

Step-by-step explanation:

Answer:

Point form: (9,-5)

Step-by-step explanation:

y=-2/3x+1 and x+y=4

Point form: (9,-5)

Equation form: x = 9, y = -5

Answer:

he can buy 2 pounds of macaroni

Step-by-step explanation:

first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy

Answer:

Charlie can buy 1 or 2 pounds of macaroni

Step-by-step explanation

If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.

hope this helped

Answer:

C: 12m

Step-by-step explanation:

We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]

For this triangle

a= x   b= 5   c= 13

We now have the equation

[tex]x^{2} + 5^{2} =13^{2}[/tex]

If we simplify this we get

[tex]x^{2} + 25 = 169[/tex]

Next, we subtract 25 from both sides

[tex]x^{2} = 144[/tex]

Finally, if we take the square root of both sides of the equation, we find that

x= 12

Pretty sure the answer is D :)

Answer:4

Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.

Answer:

y= 4(x-5) 2

Step-by-step explanation:

It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.

Answer:

The answer is A

Step-by-step explanation:

If you divided by 150/30 = 5.

So the answer is A. y=5x;5 feet.

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

Answer:

-2

Step-by-step explanation:

:)

Answer:

(0,0)

Step-by-step explanation:

Answer:

Evolution requires at molecules and atoms assemble themselves into increasing order

Answer:

Concept: Linear Systems

Answer:

x=1 and y=2 for number 4

Step-by-step explanation:

Answer:

9 inches wide

Step-by-step explanation:

What we know:

Cindy has a 3-inch by 4-inch picture.

She wants to enlarge that picture so the length is 12 inches.

It's 4 inches long in the original, and 12 inches in the scale.

Divide 12 by 4 to get a scale factor of 3.

Multiply 3 by 3 (essentially 3^2) to get 9 inches as the width.

Answer:

Did u actually need the answer or is this another c.hat?

Step-by-step explanation:

Answer:

both

Step-by-step explanation:

Luc and Ang both just didn't simply one of there equations, otherwise it is equal

Answer:

laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Answer:

A=1, m=2, v=1

Step-by-step explanation:

A.

[tex]-15=-7a-4-4a\\\\-15+4=-11a-4+4\\\\-11=-11a\\\\a=1[/tex]

B.

[tex]m-4m=-6\\\\\\-3m=-6\\\\\\3m=6\\\\m=2[/tex]

C.

[tex]8v-3+3v=8\\\\11v-3=8\\\\11v-3+3=8+3\\\\11v=11\\\\v=1[/tex]

For A, I first subtracted -4 from -7 as their variables are the same. I cannot subtract integers from variables. Then, I added 4 on both sides to move the integer on the left side. (This would also remove the -4 on the right side because -4+4=0) Then I divided -11 by both sides to get 1a or a.

For B, I  subtracted -4 from 1 as their variables are the same. This time, since they are both negative numbers, I can make them both positive. So, just divide 3 by both sides as we want to get 1m.

For C, Add 3 to 8 as v is their variable. Then, I added 3 to both sides because we want to get the variable on one side. Divide by 11 and you will get v=1.

Answer:

319.20

Step-by-step explanation:

399×20%=79.8

399 - 79.8= 319.20

Answer: its d

Step-by-step explanation:

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96