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?
Answers
Answer:
The answer would be 31,737 elks.
Step-by-step explanation:
You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.
I hope this helps
Related Questions
Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax and explain your reasoning. *
Answers
Answer:
$42Step-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=$42
Charlie can spend up to 10$ on lunch. He wants to buy a turkey sandwich, a bottle of soda,
and x pounds of macaroni. If a turkey sandwich cost $3.75, a bottle of soda cost $2.25, and
macaroni costs $2 per pound, find the range of pounds of macaroni that Charlie can buy.
Answers
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
solve the system of equations
y=-2/3x+1 and x+y=4
Answers
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
2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.
Answers
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
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
30
20
M
16
a.
16 24
8
15
30
20
b
16
24
4
-
20
30
5
C
16
20
24
30 3به ایا امه
d.
15
30
16
20
24
< Previous Activity
Answers
Answer: its d
Step-by-step explanation:
I want to know what is the formula for an endpoint with the midpoint of a line segement.
Answers
Answer:
Did u actually need the answer or is this another c.hat?
Step-by-step explanation:
Can someone solve these by elimination?
Answers
Answer:
x=1 and y=2 for number 4
Step-by-step explanation:
what is the area if b=16mm and h=12mm
Answers
Answer: 96
Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)
so 1/2 (16)(12)
= 96
Lucius and Angelina's teacher gave them a system of linear equations to solve. They each took a few steps that led to the systems shown in the table below.
Answers
Answer:
both
Step-by-step explanation:
Luc and Ang both just didn't simply one of there equations, otherwise it is equal
Which of the following quadrilaterals are similar?
Answers
Answer:
I believe its the last one
Answer:
the last one.
Step-by-step explanation:
( HELP PLEASE <3)
a person riding in an elevator travels 150 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel on 10 seconds?
A.) y=5x;5 feet
B.) y=3x;30 feet
C.) y= 1/5x;2 feet
D.) y=5x;50 feet
Answers
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.
y = 4x 2 is shifted 5 units to the right
Answers
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.
what’s the slope of the line?
Answers
Answer:
(0,0)
Step-by-step explanation:
rewrite the expression below in exponential form
log2 ^0.125=-3
Answers
Answer: 2^-3 = 0.125
Step-by-step explanation:
Just took a test over it :)
What is the solution of -8≤-2x≤6
a) -4<x<3
b) -4≤x≤3
c) -4≥x≥3
d) -3≤x≤4
Answers
Pretty sure the answer is D :)
3x– 2y = -3
y = 7 - 4x
Resolver por sustitución
Answers
Answer:
y= 3/2x+3/2 btw add these and that is your answer then y=-4
Step-by-step explanation:
Some one help ASAP it’s already 2am I want sleep please help I give crowns
Answers
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 :)~
Solve for x.
(x + 13) ft
24 ft
Answers
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
Tony wants to buy a new iPad mini for his birthday. A brand new iPad mini has a regular price
of $399. If Tony buys the iPad today, he will receive 20% off the original price. Find the
discount and the sale price of the iPad mini.
Answers
Answer:
319.20
Step-by-step explanation:
399×20%=79.8
399 - 79.8= 319.20
factor completely 4x⁸+12x⁷-16x⁶-48x⁵
Answers
A circular region has a population of about 250,000 people and a population density of about 125 people per square mile. Find the radius of the
region. Round your answer to the nearest hundredth.
The radius of the region is about
miles
Answers
Answer:
2.5 km
Step-by-step explanation:
If two lines are perpendicular, what must be true about the slopes of the two lines. Select all that apply.
.
slopes are the same
Slopes are reciprocals
Slope are whole values
Slopes are opposites (one positive and one negative)
Answers
Answer:
Concept: Linear Systems
Those that are parallel have equal slope, contrary those that are parallel have reciprocal. Hope this helps!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?
Answers
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:
Cindy has a picture that is 3 inches wide and 4 inches long. She wants to enlarge it so that it is 12 inches long. How wide will the picture be?
Answers
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.
can someone solve -15 = - 7a - 4 - 4a
and m - 4m = -6
and 8v - 3 + 3v = 8
STEP BY STEP PLEASE.
Answers
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.
Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 10 boxes and sauce is sold in packages of 2 jars, what is the least number of dinners that Manny can make without any supplies leftover?
Answers
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
A= 12.8m
B=13.9m
C=12m
D= 7m
Answers
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
Evolution requires at molecules and atoms
assemble themselves into what order
Answers
Answer:
Evolution requires at molecules and atoms assemble themselves into increasing order
Question 3 of 8 Which of the symbols correctly relates the two numbers below? Check all that apply. 19 ? 20
A.=/
B. =
C. <_
D. >_
E. >
F. <
Answers
Answer:
a and d
Step-by-step explanation:
it has a ratio comparison
I’ll mark you brainlist I’ll mark you brainlist
Answers
Answer:
-2
Step-by-step explanation:
:)