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There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth function represents
the number of deer y in that forest after x months? Round to the nearest thousandth.
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Answer:
The expression that represents the number of deer in the forest is
y(x) = 50*(1.013)^x
Step-by-step explanation:
Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:
y(1) = 50*(1+ 0.15/12) = 50*(1.0125) = 50.625
y(2) = y(1)*(1.0125) = y(0)*(1.0125)² =51.258
y(3) = y(2)*(1.0125) = y(0)*(1.0125)³ = 51.898
This keeps going as the time goes on, so we can model this growth with the equation:
y(x) = 50*(1 - 0.15/12)^(x)
y(x) = 50*(1.013)^x
The exponential growth function that represents the number y of deer in that forest after x months is 50 × [tex](1.013)^{x}[/tex].
What is exponential growth function?An exponential function is a nonlinear function that has the form of
y=[tex]ab^{x}[/tex],wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right.
There are 50 deer in a particular forest.
The population is increasing at a rate of 15% per year.
Assuming that the number of deer is 'y' and the number of month is 'x' then after the first month the number of deer is
y(x) = 50 × [tex]1+(\frac{0.15}{12} )[/tex]
= 50 × 1.0125
= 50.625
y(2) = y(1) × (1.0125)
= y(0) × [tex](1.0125)^{2}[/tex]
= 51.258
y(3) = y(2) × (1.0125)
= y(0) × [tex](1.0125)^{2}[/tex]
= 51.898
y(x) = 50 × [tex](1-\frac{0.15}{12} )^{x}[/tex]
= 50 × [tex](1.013)^{x}[/tex]
Hence, the exponential growth function that represents the number y of deer in that forest after x months is 50 × [tex](1.013)^{x}[/tex].
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5x+1/4=15 1/4 what is the value of x
Answer:
3
Step-by-step explanation:
5x3=15+1/4= 15 1/4
hope this helps
Answer:
x=3
Step-by-step explanation:
Damon buysabaseballhelmetonlinefor$16.Ifshippingandhandlingareanadditional20%oftheprice,howmuchshippingandhandlingwillDamonpay?
16x0.2=3.2
16+3.2=19.2
So the price is $19.20
You are attending a college night. There is a different school in each classroom. Of the schools in attendance 30% had a sports program you are interested in, 40% have an academic program you are interested in and 60% have either a sports or academic program you are interested in. If you walk into a room at random, what is the probability that the school has both a sports and academic program you are interested in?
a. 0.]20
b. 0.10
c. 0.70
d. 0.30
(NO LINKS! I WILL GIVE BRAINLIEST TO ANSWER!)
Answer:
0.10
Step-by-step explanation:
Technically it's 0.12 but I only say this because they rounded by from 58 to 60 in their question
11. Twelve contestants are competing to be 15.
on American Idol. The judges will keep either way
three or four of the contestants. How many
more groups would be formed if the judges
pick four instead of three?
A) 275
B) 715
C) 792
D) 10,560
Answer:
Option A
Step-by-step explanation:
Out of 12 contestants, the judges will select either 3 or 4 contestant.
Number of groups that can be formed when judges pick three contestants
[tex]^{12}C_3[/tex]
[tex]220[/tex]
Number of groups that can be formed when judges pick three contestants
[tex]^{12}C_4\\495[/tex]
Number of more groups that can be formed if the judges pick four instead of three
[tex]= 495-220 = 275[/tex]
Hence, option A is correct
how do i solve a division problem
Answer:
Step-by-step explanation:
The steps are more or less the same, except for one new addition:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
What's the answer to this problem?
Answer:
no real solutions
Step-by-step explanation:
- Rewrite equations:
y=3x−11;−3x+y=−13
Step: Solvey=3x−11 for y:
y=3x−11
Step: Substitute 3x−11 for y in−3x+y=−13:
−3x+y=−13
−3x+3x−11=−13
−11=−13(Simplify both sides of the equation)
−11+11=−13+11(Add 11 to both sides)
0=−2
Answer:
No solutions.
Juana went to a restaurant and bought 6 cheeseburgers and 4 orders
of fries and spent a total of $26. Write an equation for the scenario where
C is the price of cheeseburgers and Fis the price of fries she bought.
Answer:
6c + 4f = 26
Step-by-step explanation:
20 POINTS!!!!
Jacob deposits $60 into an investment account with an interest rate of 4%, compounded annually. The equation,
y = 60(1 + 0.04)x, can be used to determine the number of years, x, it takes for Jacob's balance to reach a certain amount of money, y. Jacob graphs the relationship between time and money.
1. What is the y-intercept of Jacob's graph?
2. If Jacob doesn't deposit any additional money into the account, how much money will he have in eight years? Round your answer to the nearest cent.
Answer:
1. 60 is his y-intercept
2. $82.11 in his account after 8 years
Answer:
The y-intercept of Jacob's graph is $60, which represents the initial amount of money he deposited into the account.
If Jacob doesn't deposit any additional money into the account, the amount of money he will have in eight years can be found by plugging in x=8 into the equation y = 60(1 + 0.04)^x and evaluating:
y = 60(1 + 0.04)^8
y ≈ $82.08
So the answer to the second question is that Jacob will have approximately $82.08 in the account after eight years, assuming he doesn't deposit any additional money into the account.
Hope this helps,
Ariana :)
A piece of cloth is 6 1/4 meters long. If the cloth is cut into 1/2 meter long pieces, how many pieces can be made?
Answer:
10
Step-by-step explanation:
PLEASE HELPP
Find the volume of the wooden chest below to the nearest whole number.
6 CML
12 cm
10 CIEL
Answer:
720
Step-by-step explanation:
Find the value of x explain how you got your answer
Answer:
X is equal to 20
Step-by-step explanation:
Angles of a triangle equal 180.
110+x+x+30=180
2x+140=180
2x=40
x=20
If you input 20 as X back into the equation, then you can check that it is the right answer.
Convert 210 to radian measure in terms of \pi
Answer:
3.66519 radianStep-by-step explanation:
210° × π/180 = 3.665radWilma tosses a ball into the air. The function h(t) represents the height, in feet, of the ball after t seconds. The difference quotient of h(t) is –32t – 16h + 9. What is the average rate of change in the height of the ball between 1 and 1.5 seconds? –47 ft/s –31 ft/s 31 ft/s 47 ft/s
Answer:
-32ft/s
Step-by-step explanation:
Given the function of the height expressed as h(t) is –32t² – 16t + 9.
Rate of change in height is the velocity and expressed as;
v(t) = d(h(t))/dt = -64t - 16
at t = 1sec
v(1) = -64(1)- 16
v(1) = -80ft/s
at t = 1.5secs
v(1.5) = -64(1.5)- 16
v(1.5) = -96-16
v(1.5) = -112ft/s
The average rate of change in the height of the ball between 1 and 1.5 seconds = -112-(-80) = -112+80 = -32ft/s
Please help math problem
Answer :im not very sureeee
Step-by-step explanation:
can someone help me pls
Answer:
2
Step-by-step explanation:
The U.S. president may serve 2 terms according to the 22nd Amendment to the U.S. Constitution.
Answer:
2
Step-by-step explanation:
it is not mathmatic!!!
ssdfdsiufhdsifhdsjfdsi?
Mrs. Lopez made 12 ½ gallons of sweet tea for a celebration. How many quarts of sweet tea did Mrs. Lopez make?
Answer:
Mrs. Lopez made 50 quarts of sweet tea
Step-by-step explanation:
A gallon and a quart are two of the five US standard volumes of measurement. In relation to litres, a quart is 946.352946 millilitres while a gallon is 3.7854118 litres.
The relationship between The gallon and The quarts is given as 4:1
This means that for every 4 quarts, there is 1 gallon.
Now, let us find the number of quarts in 12¹/₂ gallons as follows:
1 gallon = 4 quarts
∴ 12¹/₂ gallons = 12¹/₂ × 4 quarts
converting the mixed fraction to improper fraction and multiplying:
= ²⁵/₂ × ⁴/₁
[tex]= \frac{25 \times 4 }{2 \times 1} = \frac{100}{2} \\\\= 50\ quarts[/tex]
Apply the distributive property to factor out the greatest common factor. 12+80=12+80
Answer: 92
Step-by-step explanation:
So 12 +80 = 4(3 + 20) = 92
Answer:
4(3+20)
Step-by-step explanation:
4 is the greatest common factor of 12 and 80
12+80
= 4 ⋅ 3 + 4 ⋅ 20
= 4(3+20)
the answer:
4(3+20)
THIS IS THE QUESTION I NEED HELP WITH! PLEASE HELP!!! MATH EXPERTS
Answer:
surface area is 408cm^2
Step-by-step explanation:
i dont know how to find the volume
Helppp please please
Anybody know how to read those scales with a top and bottom line with a ruler at the bottom?
can u tell me how lol
Answer:
Step-by-step explanation:
go to you.tube and put 5t-fJ6w7QtY in it this might be able to help!
Find the value of v in the figure below.
Answer:
50° this is because opposite angles are equal
Answer:
50°
Step-by-step explanation:
it is the same
50°...............
In an
ecosystem, marsh snails feed
on phytoplankton and painted turtles
feed on marsh snails. Pollution has resulted in the depletion of
phytoplankton. What effect would this situation likely have on the populations
of marsh snails and painted turtles?
Answer:
decrease/decrease.
Step-by-step explanation:
both will decrease in quantity due to lack of food from the primary producer. Once the prey reduces, it affects the population of the predator.
Student lunch preference Pizza 18, Chicken Sandwich 9, Salad 6, hot dog 10, Steak sub 13
The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 560 students in the school, approximately how many would be expected to choose salad? 16 students 112 students 60 students
208 students
6 is the answer to your question
2.
Which of the following is an example of a negative
correlation?
A. the amount of studying for a test vs. the
resulting test scores
B. air temperature and the number of people at a
swimming pool
C. a person's arm length compared to his or her
waist size
D. the number of people eating a pizza and the
number of slices per person
Answer:
Step-by-step explanation:
D. the number of people eating a pizza and the number of slices per person. As this number increases, the number of slices each person can take drops.
What the approximate volume of the cylinder below in cubic centimeters
Answer:
The volume of the cylinder is 3,080 cm^3
Step-by-step explanation:
Mathematically, we have the volume calculated as;
V = pi * r^2 * h
r = radius = 14 cm/ 2 = 7 cm (14 cm is the diameter and the radius is half the diameter)
h = height = 20 cm
Substituting these values;
V = 22/7 * 7^2 * 20
V = 22 * 7 * 20
V = 3,080 cm^3
Suppose a and b are independent events. If l(a) =0.8 and p(b) =0.85 what is p(a and b)
Answer: 0.68
Step-by-step explanation:
just took test and got it right
Find the measure of the indicated angle to the nearest degree.
Given:
A right triangle with legs 5 units and 6 units.
To find:
The measure of angle opposite of side whose length is 5 units.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
Let [tex]\theta [/tex] be the missing angle. Then, for the given triangle,
[tex]\tan \theta=\dfrac{5}{6}[/tex]
[tex]\theta=\tan^{-1}\dfrac{5}{6}[/tex]
[tex]\theta=39.805571^\circ[/tex]
Round the value to the nearest degree.
[tex]\theta\approx 40^\circ[/tex]
Therefore, the measure of the required angle is 40 degrees.
Select all the rational numbers.
3.02859...
3
3.14159...
3.7
1.41421..
Answer :
3.14159...
3.7
3.02859...
At a basketball game, a team made 55 successful shots. They were a combination of 1- and 2-point
shots. The team scored 94 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were 37 2-point shots and 18 1-point shots.