Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?

Answers

Answer 1

Answer:

By 2020, there will be 1,147 species of birds left

Step-by-step explanation:

The general model for an exponential decrease is;

y = I(1 - r)^t

where in this case;

y is the number of bird species at a particular decade from the initial

I is the number of birds initially at 1990

r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015

t in this case will be the number of decades after the initial

Mathematically, a decade is 10 years

The difference between 2020 and 1990 is 30

The number of decades in 30 years is 30/10 = 3

so t will be 3 here

Substituting these values into the equation, we have

y = 1200(1-0.015)^3

y = 1200(0.985)^3 = 1,146.8

To the nearest whole number, this is 1,147


Related Questions

Which process will create a figure that is congruent to the figure shown?

Answers

Answer:

A translation of 4 units up, followed by a reflection over the y-axis, followed by a rotation of 90° counterclockwise around the point shown on the figure.

Step-by-step explanation:

Hope it helps!

Answer:

Top right answer

Step-by-step explanation:

htam (:

what is the least common denominator between 3/4 4/5 and 2/3

Answers

Answer:

The Least Common Denominator of 3/4, 4/5 and 2/3

Would be,

4 × 5 × 3 = 60

Hence,

60 is the L.C.D of 3/4, 4/5 and 2/3

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

*see attachement for diagram

Answer:

Sal would pay $93.53 to tile his entryway.

Step-by-step explanation:

Given:

1 unit = 1 foot

Tile cost = $2.15 per square foot

To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.

The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.

✔️Area of the trapezoid = ½(a + b)*h

Where,

a = 7 ft

b = 4 ft

h = 5 ft

Area of the trapezoid = ½(7 + 4)*5

= ½(11)*5

= 27.5 ft²

✔️Area of the parallelogram = b*h

b = 4 ft

h = 4ft

Area of the parallelogram = 4*4 = 16 ft²

✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²

✅Cost to tile 1 ft² = $2.15

Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53

✅Sal would pay $93.53 to tile his entryway.

IM SO TIRED CAN SUM1 HELP PLS.

Answers

Answer:

a. $250

b. 50x + 200

Step-by-step explanation:

a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.

b. the 200 is only a one time fee so you add it on to months(x)

Answer:

a. 250$

b. 200+50x

Step-by-step explanation:

#1 What is the total cost to use the cell phone plan for one month?

GIVEN:

Startup price=$200

Charge per month=50$

SOLVE:

The total cost for one month will be the startup price+ charging price for one month.

200+50=250$

#2 What is the total cost for x months?

The total cost for x months will be the startup price+charging price for x months.

200+50x

Hope this helps!! :)

Please let me know if you have any questions

Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.​

Answers

Answer:

The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.

Step-by-step explanation:

The computation of the magnitude and the period is given below:

First we determine the angular velocity that transforming the revolutions per minute,  

So,

ω = (1200 rev / min) ×  (2π rad / rev) × (1 min / 60s)

ω = 125.66 rad / s

Now, the period is  

ω = 2π ÷ T

T = 2π ÷ (125.66 rad / s)

T = 0.05 s

Hence,  the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.

please help with the question below

Answers

Answer:

I’m not sure but I. Think it’s a I guess

Step-by-step explanation:

Find the volume of a rectangular pyramid with the following dimensions.
length = 9 in ; width = 7 in ; height = 5 in
A 315
B 105
C 0157.5
D 472.5

Answers

Answer:

B

Step-by-step explanation:

like my answer please gimme the brain

The degree of the problem

Answers

Answer: A. 5

Step-by-step explanation:

What is the inverse you would use to solve this problem: c/2=16

Answers

Answer:

multiplication

Step-by-step explanation:

Which of the following statements are true?


A) 3 lbs of sugar is sugar is required to make 60 muffins.


B) 120 lbs of sugar is required to make 6 muffins.


C) 0 lbs of sugars required to make 0 muffins.


D) The maximum number of muffins that can be made is 220

Answers

Answer:

C

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

Hello! Please help me. Huhu

Answers

The median is 162 centimeters.

I need help finding the slope

Answers

Answer:

0.75

Step-by-step explanation:

-3-1.5/-4-2

-4.5/-4-2

-4.5/-6

0.75

solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

63.5°

Step-by-step explanation:

Reference angle = x°

Opposite = 17

Hypotenuse = 19

Apply the trigonometric function, SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

PLEASE HELPP ILL GIVE BRAINLIEST

Answers

The answer would be 75%

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.

Answers

Answer: 0.09

Step-by-step explanation:

;)

what do ducks short necks help them to do? pls help :/

Answers

Answer:

In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water

Step-by-step explanation:

hope this helps

170% of what number is 40?
Provide and exact fraction answer

Answers

Answer: 23.53

Step-by-step explanation:

We have, 170% × x = 40

or,

170

100

× x = 40

Multiplying both sides by 100 and dividing both sides by 170,

we have x = 40 ×

100

170

x = 23.53

If you are using a calculator, simply enter 40×100÷170, which will give you the answer.

Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b

Answers

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

Ruth buys 19 identical tickets for £280.25.
Estimate the cost of one ticket.

Answers

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

5/6 of what number
= 35

Answers

Answer:

42

Step-by-step explanation:

In order to find the answer to this question, I had to multiply 35 times 6/5.

35x6/5=42

You can check to make sure your answer is right by doing: 42x5/6=35.

You just have to multiply the number that we are using by the reciprocal of the fraction.

For instance: 2/3 of what number is 32

32x3/2= 48

48x2/3=32

The requried number is 42, where 5/6 of 42 is 35.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42

Thus, the requried number is 42, where 5/6 of 42 is 35.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ2

Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y

Answers

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

9514 1404 393

Answer:

  (x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

  8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

  8x -(3x -5) = 40

  5x +5 = 40 . . . . . eliminate parentheses

  x +1 = 8 . . . . . . . .divide by 5

  x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

  3(7) -5 = 6y

  y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

A cylindrical container of six rubber balls has a height of 18 centimeters and a diameter of 3 centimeters. Each ball in the container has a radius of 1.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number. - Could you help me with this?

Answers

Answer:

170 cm²

Step-by-step explanation:

Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.

Hence, radius of cylindrical container = 6/2 = 3 cm

Rubber balls = 3 each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3 π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

Volume of 3 rubber balls = 3 * 113.04 = 339.12³

Take the difference to obtain answer :

Volume of cylinder - Volume of rubber ball

508.68 cm³ - 339.12³

= 169.56 cm²

170 cm² (nearest whole number

The quotient of a number and -6 decreased by 2, is 10. FInd the number

Answers

Answer:

[tex]x = 48[/tex]

Step-by-step explanation:

Quotient means what you get when you divide a number by another number.

What we can do is make an equation using the information given, which turns out to be this:

[tex](\frac{x}{6}) - 2 = 10[/tex]

Add 2.

[tex]\frac{x}{6} = 8[/tex]

Multiply by 6.

[tex]x = 48[/tex]

Factor the expression step by step Someone help me pls

Answers

Answer:

1. Split up the linear term: [tex]2x^{2}[/tex]+2x-3x-3

2. Group terms that have common factors: ([tex]2x^{2}[/tex]+2x)+(-3x-3)

3. Factor out the greatest common factor: 2x (x+1) -3 (x+1)

4. Factor out the greatest common factor: (x+1)(2x-3)

Answer: (x+1)(2x-3)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

How many bases are there in the triangular pyramid shown below?

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

In a pyramid, there is only one base that touches the ground.

However, in a prism, there are two bases, two of the same ends.

The front of the name of the shape also hints:

If it's an octagonal prism, there are two octagon bases.

If it's a hexagonal pyramid, there is one hexagon base.

Josea went out to dinner at an Indian restaurant. The
total bill was $38. She wanted to leave a 15% tip.
If you use the idea of scaling to find the tip amount,
what would she need to multiply by?

Answers

She will give 43.70




H

Someone help please !!

Answers

Answer:

what grade is this?


PLEASE HELP!!!
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.

This is not the line of best fit because the line ____________.
A.) Is close to the data points
B.) does not fit every data point exactly.
C.) Is not through the middle of the data points.

Anna could get a better fit by _____
A.) Decreasing
B.) Increasing
C.) Keeping

the y-intercept and ______ the slope.
A.) Decreasing
B.) Increasing
C.) Keeping

Answers

Answer:

1st question:  C

2nd question: Increasing (the slope)

3rd question:  don't understand what's being asked

Step-by-step explanation:

Answer:

the answers are

Step-bythe answers are -step explanation:

1.C

2.a

3.B

What is the missing length?

No links please! Giving out Brainliest too. :)

Answers

Answer:

300.46

Step-by-step explanation:

318.56cm - 18.1

Answer:

304

Step-by-step explanation:

hope it helped you out

The graphs of which of these pairs of linear equations intersect at the point (-3, 2)? Select all that apply.
A 6x - y = 15
-3x + 4y = -18
B. 2x + y = -4
3x + 2y = -5
C. X + 8y = 19
4x - 5y = 2
D. 8x + y = 22
-2x - 5y=4
E5x - y = -17
x + 4y = 5

Answers

Answer:

Options B and E.

Step-by-step explanation:

We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).

The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.

Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.

A)

6x - y = 15

-3x + 4y = -18

In the first equation we have:

6*(-3) - (2) = 15

-18 - 2 = 15

-20 = 15

This is false, so we can discard option A.

B)

2x + y = -4

3x + 2y = -5

In the first equation we have:

2*(-3) + 2 = -4

-6 + 2 = -4

-4 = - 4  

This is true, now let's look at the other equation.

3*(-3) + 2*(2) = -5

-9 + 4 = -5

-5 = - 5

This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.

C)

x + 8y = 19

4x - 5y = 2

In the first equation we have:

(-3) + 8*(2) = 19

-3 + 16 = 19

13 = 19

This is false, then we can discard option C.

D)

8x + y = 22

-2x - 5y=4

In the first option we have:

8*(-3) + 2 = 22

-24 + 2 = 22

-22 = 22

This is false, so we can discard option D.

E)

5x - y = -17

x + 4y = 5

In the first option we have:

5*(-3) - (2) = -17

-15 - 2 = -17

-17 = -17

This is true, now let's look at the other equation:

(-3) + 4*(2) = 5

-3 + 8 = 5

5 = 5

This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.

Then the correct options are B and E.

Other Questions
Different species often have structures that are used differently but are verysimilar in form. Which of the following hypotheses is supported by thisevidence?HELP PLEASE PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS Explain the point of view of why the gender pay gap in sports is reasonable.Please also list any sources used. He measured the pools dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jacks percent error to the nearest percent. Mary Beth wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 4 5/6 m by 2 1/3 m. Find the area the grass seed needs to cover Imagine you are a city planner. You have the option of providing electricity to your city either through natural gas or through nuclear power. Natural gas is slightly cheaper, but new carbon taxes are about to be implemented in your state. Which do you decide to use? Why? Why did Tennessee's Partner come to the courthouse? someone give me 3rd person essay starters or examples pls :)))will report you if you just my use points D: Read the line from President Reagans Address at Moscow State University.Go into any schoolroom, and there you will see children being taught . . . certain unalienable rightsamong them life, liberty, and the pursuit of happiness.What is the purpose of this line?to entertain readers with a story about childrento inform readers about American schoolsto instruct readers in educational techniquesto persuade listeners of the importance of freedom What is -8w-4 simplified? Which best describes secondary activities? Ca and F what are the name of the ionic compounds A car increases from 15 km/s to 45 km/s in 5 seconds. Calculate the average acceleration of the car during these 5 seconds. (2 points) A. 6 km/s2 B. 12 km/s2 C. 30 km/s2 D. 60 km/s2 What is this episode mainly about? boom mountain ep 2 What's the answer please I wasn't paying that much attention and I need to turn it in. how would you do log(3250) without a calculator Fill in the blank with the correct word.She steppedand held up her hand,O beforeO forwardO belowO next Please help me!1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex2. Consider the feasible region in the xy-plane defined by the following linear equalities:X>=0Y>=0X= 4-X + 2Y When Daniel left his house in the morning, his cell phone battery was partiallycharged. Let B represent the charge remaining in Daniel's battery, as a percentage,hours since Daniel left his house. The table below has select values showing the linearrelationship between t and B. Determine how much battery life Daniel's phonewould have 1.5 hours after leaving his house.tB127.52.519.25411 HELP ASAP!!!!!!!!!!!!!!!!!!!! BRAINLIEST AND 100 PTS!Article 4 of the Texas Constitution states: "The Governor shall ... account to theLegislature for all public moneys received and paid out by him, from any fundssubject to his order, with vouchers; and shall accompany his message with astatement of the same."Which principle does this statement illustrate?checks and balancesfederalismindividual rightspopular sovereigntyTHANK YOU :)))))))))))))))))))