A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential growth of the population.

Answers

Answer 1

Answer:

FV= 200*(1.07^n)

Step-by-step explanation:

Current population= 200 deer

Growth rate= 7% per year

To calculate the future value of deer in any given years, we need to use the following formula:

FV= PV*(1+g)^n

FV= future value

PV= present value

g= growth rate

n= number of years

FV= 200*(1.07^n)

For example, the population in 5 years:

FV= 200*(1.07^5)

FV= 281


Related Questions

What steps transform the graph y = x2 to y = x2 + 8

Answers

Answer:

Jun 25, 2018 — Reflection over the y -axis. Vertical stretch by a factor of two. Horizontal translation right two units. Vertical translation up two units. I hope this helps you .. ;]

Step-by-step explanation:

The manager of a factory wants to compare the mean number of units assembled per employee in a week for two new assembly techniques. Two hundred employees from the factory are randomly selected and each is randomly assigued to one of the two techniques. After teaching 100 employees one technique aud 100 employees the other techuique, the manager records the aumber of uaits each of the employees assembles in one week. Which of the following would be the most appropriate inferential statistical test in this situation?
a. Oruc-sauruple z-test
b. Two-sample t-test
c. Matched Pairs t-test
d. Clai-square gooducss-of-fit test
e. One-sample t-test

Answers

Answer:

The most appropriate inferential statistic test in the present situation is the;

b. Two-sample t-test

Step-by-step explanation:

From the question, we have;

The number of subjects in each sample, n₁ = 100

The number of samples = 2

The nature of the test = To compare the two means

The value of the population standard deviation, σ = Unknown

From the given parameters, we have;

The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related

The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown

The types of t-test used are;

a) One-sample t-test

b) Two-sample t-test

c) Paired Sample t-test

Therefore, a two-sample t-test is most appropriate.

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest circle that could fit in the square.

How many more inches of silver wire did the artist use compared to copper wire ?

Answers

Answer: The artist used 8.6 inches more of silver wire

Step-by-step explanation:

Perimeter of the square

P = 4*a

P = 4*a = 40 in

a = 10 in

Each side of the square has a length of 10 in

The diameter of the circle is equal to the length of the side of the square

Diameter = 10 in

Perimeter of the circle

P_c = 2*π*radius = π*diameter

P_c = (3.14)*10 in = 31.4 in

Inches of silver wire (square) = 40 in

Inches of copper wire (circle) = 31.4 in

40- 31.4 in = 8.6 in

Please Help!! I will give 10 points and brainliest..

Answers

Answer:

I would go for D

9. If AJKL - ANML, find the values of x and y.

Answers

Answer:

x = 35, y = 18

Step-by-step explanation:

Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.

If NM = 16, and KJ = 40. 40/16 is the ratio from ∆NML to ∆JKL. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.

Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.

Dividing by a number is the same as multiplying by the reciprocal of that number.

40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.

16/40 can be reduced to 2/5 or 0.4 as a decimal.

Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.

Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.

Therefore x = 14 × 5/2 = 70/2 = 35.

y = 45 × 2/5 = 90/5 = 18.

pls help no wrong answers pls

Answers

x= 45 hope this helps!

Answer:

45°

Step-by-step explanation:

Sum of angles lying on any part(upper or lower) of a line is 180°.

=> (2x + 45°) + x = 180°

=> 3x = 180° - 45°

=> 3x = 135°

=> x = 135°/3

=> x = 45°

Mrs.Oliveros bought 12.036 gallons of gasoline for her car.How is this number written in expaned notation

Answers

10+2+0.0+0.03+0.006=12.036

Solve |2x|=8
Tell me how you got the answer pls

Answers

Answer:

4

Step-by-step explanation:

2 x 4 = 8

Absolute value means no symbols so it would just be 2 x something equals 8 which is 4.

Maria divides her work she has to do for her science project into 12 steps she completes 2/12 of the project each night which expression could be used to find how much of the project completed after 4 nights choose all that are correct

Answers

Answer:

8/12

Step-by-step explanation:

Given that:

Dividing into 12 steps

Total step, fraction = 1

Each of the 12 steps = 1/12

If two steps is completed in one day:

. Steps completed per day :

2 (1/12)

= 2 /12 steps per day

Fraction of steps completed after 4 days

Fraction of steps per day * number of days

2 /12 * 4

(4*2) / 12

8/12

Diane deposits $7000 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in the first 3 years?​

Answers

Answer:

1,260

Step-by-step explanation:

6x3=18 7000÷18=1,260

Answer:

18% or 1260$

Step-by-step explanation:

first u find 6% of 7000 then you multiply it by 3 for those three years .

1. A square and a rectangle have the same area. The length of the rectangle is 32
centimeters, and the width of the rectangle is 2 centimeters. What is the length, in
centimeters, of a side of the square?

Answers

Answer:

8

Step-by-step explanation:

A=l*w

32*2=64

A=s*s

s=A

64

=8

The length in centimeters of the side of the square is 8 cm.

What is the area of a rectangle and a square?

The area of a rectangle and a square are -

A{R} = Length x Breadth

A{S} = Side x Side

Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.

It is given that -

A{R} = A{S}

Length x Breadth = Side x Side

32 x 2 = (Side)²

(Side)² = 64

Side = 8

Therefore, the length in centimeters of the side of the square is 8 cm.

To solve more questions on areas, visit the link below -

brainly.com/question/30066987

#SPJ2

Can someone help me with a question!?!?

Answers

If the parent graph f(x) = x² is changed to f(x) = 2x², the vertex of the parabola will still remain (0, 0) because whenever the equation of a parabola is in the form y = ax², the vertex will always be (0, 0).

Now if a is a big number, the parabola will become narrower.

So it will stretch vertically and become narrower.

Angela is getting a pedicure at a spa that also offers massages where customers pay by the minute. If Angela only gets a pedicure, it will cost her $35. If she also pays for a 20-minute massage, it will cost her $50.

What is the y-intercept and what does it represent?

Answers

Answer:

The y-intercept is 35 and it represents how much she's already going to pay before adding a massage.

Answer: 90

Step-by-step explanation:

1 times 90 equal 90

1 p
1.) On Tuesday at lunchtime, it was 29°C. By sunset, the temperature had
dropped to 16°C. How much did the temperature change by?

Answers

Answer:

Expression is; 29 - x = 16

Step-by-step explanation:

 

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a 4/5 scale factor to create the smaller prism.
When the large prism was reduced, the surface area changed by a factor of
64/125
16/25
4/5
10/8​

Answers

Answer:

B. 16/25

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

With the trend on this scatter plot, how old would someone be who spends 50 minutes on homework per day?
A. 18 years old
B. 12 years old
C. 8 years old
D. 14 years old

Answers

I believe from looking at the scatter plot that the answer would be D. 14 years old
If you are spend in t 50 minutes on homework your most likely 14 because of stats so your answer choice would be D.

5•7^2y=175
Which of the following is the solution of the equation?

Answers

Answer:

D seems to be the answer

Step-by-step explanation:

log7(35) =2

Answer:

C

Step-by-step explanation:

y=log7(35)/2

khan academy

Bob owned 25 pairs of shoes in January, but then he sold a bunch and now owns 12. What is the percent decrease?

Answers

52% decrease hope this helps!!

Help!!!!! Which of the following is the difference of two squares?

Answers

Answer:

b

Step-by-step explanation:

i did this b4

The following is the difference of two squares

2. 8x² - 16y²

3. 25m² + 100n²

4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given:

we have to find expression for difference of two squares

1. 4g - 16h

= (2)²g- (4)²h

2. 8x² - 16y²

= (2√2x)² - (4y)²

3. 25m² + 100n²

= (5m)² + (10n)²

4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]

= (10a²)² - (3[tex]b^6[/tex])²

Learn more about expression here:

https://brainly.com/question/13947055

#SPJ5

Write an expression equivalent to

4 - (-7)


help

Answers

Answer:

7 - (-4)

Step-by-step explanation:

You can turn the numbers.

yoo i need help asap

Answers

Answer:

A point on (0,2) and (7,3)

Step-by-step explanation:

First draw a point on 2 y axis to represent y intercept. The slope is rise over run in this example, do it backwards so go right 7 and 1 up. So it is (7,-3)

Check:  3-2/7-0

1/7 is slope

So this solution is correct

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Answers

Answer:

48 cm

Step-by-step explanation:

6x8 Please   dont  be mad if  im  wrong TT>TT

A pound is epual to 0.454 kilograms , how many kilograms does a 142-pound man weigh?

Answers

The 142 pound man weighs 64.468 in kilograms

Which is an equation for the line shown?
A) x=2
B) y=2
C) x=-2
D) y=-2

Answers

Answer:

A) x=2

Step-by-step explanation:

A factory makes rods by cutting plastic pipes that are 5 feet long into 8 rods. What is the total length of 13 rods?

Answers

Answer:8.125 ft

Step-by-step explanation:

Given

Plastic pipes of 5 ft are cut  into 8 rods

The length of each rod will be

[tex]\Rightarrow \dfrac{5}{8}\ ft[/tex]

The total length for 13 rods are

[tex]\Rightarrow L=13\times \dfrac{5}{8}=\dfrac{65}{8}\ ft\\\Rightarrow L=8.125\ ft[/tex]

What is the awsner to (-6)(8) + (-11)

Answers

Answer:

-59

Step-by-step explanation:

(-6) (8) + (-11)

(-48) + (-11)

-48 -11

-59

A set of nine data points is shown below.
8, 11, 12, 10, 9, 7,5, 3, 9
Which statement is true if a tenth data point of 45 is added to the data set?
A
The mean and median will both increase.
B
The mean will increase and the median will decrease.
The mean will increase and the median will remain the same.
с c
D
The mean and median will both decrease.
Which statement is true if a tenth data point of 45 is added to the data set

Answers

Answer:

first arrange the numbers in ascending order 3,5,7,8,9,9,10,11,12

Answer:

с

The mean will increase and the median will remain the same.

Step-by-step explanation:

A cone has radius 9 and a height 12. A frustum of this cone has height 4.
What are the radii of the bases of the frustum?
What is the slant height of the frustum?
What is the lateral area of the frustum?

(If you waste an answer it will be removed so don't try and get "Free" points.)

Answers

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

[tex]\displaystyle \frac{12}{8}=\frac{9}{x}[/tex]

Solve for x. Simplify:

[tex]\displaystyle \frac{3}{2}=\frac{9}{x}[/tex]

Cross-multiply:

[tex]18=3x\Rightarrow x=6[/tex]

The upper base has a radius of 6 units.

Part B)

We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:

[tex]SH^2=12^2+9^2[/tex]

Simplify:

[tex]SH^2=225\Rightarrow SH=15\text{ units}[/tex]

Now, find the slant height of the upper cone:

[tex](SH_\text{cone})^2=8^2+6^2=100[/tex]

So:

[tex]SH_\text{cone}=10[/tex]

Then the slant height of the frustum will be the cone subtracted from the total. Thus:

[tex]SH_{\text{frustum}}=15-10=5\text{ units}[/tex]

Part C)

We can first find the lateral area of the entire cone. The lateral area is given by:

[tex]LA=\pi r\ell[/tex]

The lateral area of the entire cone will be:

[tex]LA=\pi (9)(15)=135\pi[/tex]

The lateral area of the upper cone will be:

[tex]LA_\text{cone}=\pi(6)(10)=60\pi[/tex]

Then the lateral area of the frustum is:

[tex]LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2[/tex]

A magazine has 8 pages of reading for every 2 pages of advertisements. How many pages of reading does it have for 1 advertisement?

Answers

Answer:

4

Step-by-step explanation:

8/2=4

PLZ HELP ILL MARK U BRAINLIEST!!!

Answers

Answer:

x=18

Step-by-step explanation:

7x-1=125

 +1    +1

7x=126

7      7

X=18

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