The number of carbon atoms in a fossil is given by the function [tex]y = 5100(0.95)^{x}[/tex], where x represents the number of years since being discovered. What is the percent of change per year? Explain how you arrived at your answer.

Answers

Answer 1

Answer:

[tex]\%x=5\%[/tex]

Step-by-step explanation:

From the question we are told that:

Carbon atoms in fossil function

[tex]y=5100(0.95)^x[/tex]

 

Generally the equation a 2 year change is mathematically given by

For[tex]x=1[/tex]

[tex]y_1=5100(0.95)^1\\y_1=4845[/tex]

For [tex]x=2[/tex]

[tex]y_2=5100(0.95)^2\\y_2=4602.75[/tex]

Generally the equation percentage year changes [tex]\%x[/tex] is mathematically given by

[tex]\%x=\frac{y_1-y_2}{y_1} *100[/tex]

[tex]\%x=\frac{4845-4602.75}{4845} *100[/tex]

[tex]\%x=5\%[/tex]

Therefore  the percent of change per year is

[tex]\%x=5\%[/tex]


Related Questions

what is the answer to the equation “what is 3 time 5”

Answers

Answer:

15

Step-by-step explanation:

When you multiply 3 to 5 you get 15 it is basic math. Or you can count out 5 plus 5 plus 5 if you need too.

The sum of 10 and twice a number
(an equation)

Answers

Answer:

10+2x= the sum (anything could be put here)

Step-by-step explanation:

Well sum is automatically addition

Doubleing a number is basically multiplying it by 2

so

10+2x= whatever youw ant to put here

The parallelogram shown below has an area of 15 units ^ 2
WHOEVER GETS IT RIGHT GETS BRAINLIEST

Answers

Answer:

h=5

Step-by-step explanation:

3*h=15 so h=5

A new car has a sticker price of $25750, while the invoice price paid on it was 21950, what is the percentage?

Answers

Answer:

24750/21950 = 1.12756 or 112.756% of the original price. 12.76% is the correct answer.

Step-by-step explanation:

Answer:

24750 ÷ 21950 = 17.31% as the original price

Step-by-step explanation:

Kirsten caught 9 fish on Saturday and an additional 5 fish on Sunday. How many fish did she catch in all?​

Answers

Answer:

14 fish

Step-by-step explanation:

Evaculate the following using the rules for special products
1) 507 x 493

Answers

Answer:

249,951

Step-by-step explanation:

I used standard algorithm. I'm not sure how to explain this digitally to you.

I hope this helped.

what two numbers multiply to 30 and add up to 11

Answers

Answer:

-5 and -6

have a great day:)

4 = ⅝ + w

what is w please show work or explain

Answers

Answer:

w = [tex]\frac{27}{8}[/tex]

Step-by-step explanation:

Give me Brainllest plz T-T

Which expression is equivalent to

5(3x+3)−7x?

Answers

Answer:

38x

Step-by-step explanation:

38x


fhrixmd$:$;&,jssj

A rectangle has a width of 4 units and a length of m units write an expression for the area of this rectangle

10 points

Answers

Answer:

4m units squared

Step-by-step explanation:

Area = Length x Width

Area = m x 4

Area = 4m units squared

4m unit squares your welcome

2x-5 < 3 someone help

Answers

Answer: x < 4

Step-by-step explanation: Move the constant to the right (5). Simplify (3+5=8).  Divide both sides (8/2 & 2/2).

SHOW ALL THE STEPS YOU USED TO SOLVE THIS. NO LINKS PLEASE​

Answers

Answer:

192 cm^2

Step-by-step explanation:

A = b*h

8(24) = 192

City officials are putting a garden around a memorial site as shown below.





Part A Determine the area of the memorial site in terms of x.

Write your answer as a trinomial and include units. Show or explain your work.


Part B The outside edges of the garden form a rectangle whose length and

width are proportional to the sides of the memorial site, increased

by a scale factor of 3. Determine the lengths of the outside edges of

the garden. Write your answer in simplest form.


Part C Determine the area of the garden in terms of x. Write your answer in

simplest form. Show or explain your work

Answers

Answer:

I only remember how to do part A, so sorry for using up an answer.

Step-by-step explanation:

Part A:

[tex](3x+5)(4x+7)\\ 12x^2+21x+20x+35\\ 12x^2+41x+35 ft^2[/tex]

(I also don't know if this is the form you need it in, but I hope I could help a little.)

The area of the memorial site is 12x² + 41x + 35 square units,  the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.

What is Area of Rectangle?

The area of Rectangle is length times of width.

(a) The area of the memorial site is given by multiplying the length and width:

Area = (4x + 7)(3x + 5)

Expanding this expression using the distributive property, we get:

Area = 12x²+ 41x + 35

Therefore, the area of the memorial site is 12x² + 41x + 35 square units.

(b) The length and width of the garden are proportional to the length and width of the memorial site, increased by a scale factor of 3.

Length of garden = 3(4x + 7) = 12x + 21

Width of garden = 3(3x + 5) = 9x + 15

Therefore, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units.

(c)  The area of the garden is given by multiplying the length and width:

Area of garden = (12x + 21)(9x + 15)

=108x²+180x+189x+315

=108x²+369x+315

Hence,  the area of the memorial site is 12x² + 41x + 35 square units,  the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.

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El perímetro de una circunferencia es de 40π cm, y tiene un ángulo de 130°. Calcula el área del sector de dicha circunferencia.

Answers

Answer:

Area of sector = 144.4π cm²

Step-by-step explanation:

Given:

Perimeter of circle = 40π cm

Given angle = 130°

Find:

Area of sector

Computation:

Perimeter of circle = 2πr

⇒ 40π = 2πr

⇒ 40 = 2r

⇒ Radius r = 40 / 2

Radius r = 20 cm

Area of sector = [θ/360][π][r]²

⇒ Area of sector = [130/360][π][20]²

⇒ Area of sector = [0.361][π][400]

Area of sector = 144.4π cm²

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?

Answers

Answer:

17/55 if simplified otherwise 34/110

Step-by-step explanation:

Answer:

16/81

Step-by-step explanation:

this is the answer that came up on hegarty

what is the domain and range of:
y=(x+5)^2

Answers

Answer:

Domain : R

Range : [0,+∞)

Help me please and sorry about the points it doesn’t let me do more than that

Answers

i think the slope would be 1.5
explanation: i’m not sure but rise/run,
y2-y1/x2-x1
(1,1.5) (4,6)
6-1.5/4-1=4.5/3=1.5

Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =

Answers

Answer: it’s c

Step-by-step explanation:

Just took it and it’s correct

The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) = x²

Let the second function be g ( x )

Now , the vertex of the function is at A ( -4 , -3  )

When the function is shifted left by 4 units and down by 3 units , we get

g ( x ) = ( x + 4 )² - 3

Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted

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20 ounce bag of pretzels to a party if each person at the party ate 1/5 of the bag how many ounces of pretzels in each person eat

Answers

Answer:

20/5 = 4

Step-by-step explanation:

since each person will get 1/5 of the original 20 ounces, you would divide the pretzels into 5 equal portions of 4.

What is the answer :>

Answers

um.. it’s just a black picture. :>


the radius of a circle is 6.3 yards. the circle's area is about ___ square yards.

use 3.14 for pi and round your answer to the nearest hundredth.​

Answers

Answer:

37.699cm

Step-by-step explanation:

The circumference of a circle can be obtained by using the equation below:.

pleasee helppp

Which of the statements about the graph below is true
A. The graph is proportional and has an
equation of y = -x + 18.
B. The graph is non-proportional and has an
equation of y = -x + 18.
C. The graph is non-proportional and has an
equation of y = -2x + 18.
D. None of the above statements are true.

Answers

Use Photomath will help you find the answer

If who answers the question fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!

Answers

C because 15 is the most they have to spend so it has to be less than or equal to, then the 9.99 for the one thing and 1.19 each so u put the “s” for the amount of things

Write the prime factorization of 138

Answers

Answer:

138 ÷ 2 = 69

69 ÷ 2 = 34.5

69 ÷ 3 = 23

23 ÷ 3 = 7.67

23 ÷ 5 = 4.6

23 ÷ 7 = 3.2857

23 ÷ 11 = 2.0909

-----------------------

23 ÷ 23 = 1

will 5 star worth 76pts

Answers

Answer:

i can't see anything

Step-by-step explanation:

give at least 2 objects that have the shape of triangle.

give at least 3 objects that have the shape of quadrilateral.​

Answers

Answer:

Triangle:

- triangle-sticky notes yung triangle shape

- toblerone candy

Quadrilateral:

-quadrilateral-book

-box

-frame

Step-by-step explanation:

hope it helps u and may I get brainliest

Answer:

Sandwich.

A Slice of Pizza.

Road sign.

An Arrow.

Triangular Ruler.

Zelda Triforce Symbol.

Triangular Ruler.

Step-by-step explanation:


The function f(x)= x^2 is graphed above. Which of the graphs below represents the function g(x) = x^2 -3?

Answers

Answer:

bottom left graph

Step-by-step explanation:

The function g(x) is a translation of function f(x). It is the function f(x) moved 3 units down.

The vertex of the parabola of f(x) is (0, 0).

The vertex of the parabola of g(x) is (0, -3).

Answer:

If x=2, what is the value of x (14-x)

Answers

Answer:

24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

one angle of a right triangle measures 80 degrees. what is the measure of the other acute angle

Answers

Answer:

10 degrees

Step-by-step explanation:

Since a right angle is 90 degrees in total, to find the missing degree subtract 80 from 90.

90-80=10 degrees

Hope this helps

Umm ... NO FILES/LINKS !!!

Answers

i wanna say b i’m not 100% sure but hope it help just know that a is not the answer
it's B!!!! """""""""""""""
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