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

3x - 2x + 1 = 8
How do I solve this

Answers

Answer:

x = 7

Step-by-step explanation:

3x - 2x + 1 = 8

x + 1 = 8

*subtract 1 from both sides

x = 7

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Combina los términos semejantes

[tex]3x-2x+1=8\\x+1=8[/tex]

Resta 1 de ambos lados de la ecuación

[tex]x+1-1=8-1\\[/tex]

Simplifica y resta los números

[tex]x=7[/tex]

At schools art teacher designs a circular flower bed inside a rectangular sandbox. The sandbox is 6 feet wide and 10 feet long. How many square feet of sand will there be after the flower bed is installed? Use 3.14 for pi. Round that answer to the nearest square foot.

Please help I’m so confused right now!!!

Answers

Answer:

i got 32square feet (yes i got it right).

Step-by-step explanation:

The amount of sand will there after the flower bed is installed is,

⇒ 18.5 feet²

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

At schools art teacher designs a circular flower bed inside a rectangular sandbox.

Here, We have;

The sandbox is 6 feet wide and 10 feet long.

Now, We get;

Radius of circle = 5 feet

Hence, Area of circle = πr²

⇒ Area of circle = 3.14 × 5²

⇒ Area of circle = 78.5 cm²

And, Area of rectangular sandbox is,

⇒ 10 × 6

⇒ 60 feet²

Thus, There will be after the flower bed is installed = 78.5 - 60

                                                                               = 18.5 feet²

Learn more about the rectangle visit:

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Write 2x - x2 = 1 in standard form.

Answers

Answer:

3.45782 x 10^4

Step-by-step explanation:

Please him me with this

Answers

Answer:

x=3

Step-by-step explanation:

To do this we need to do

10-4=6

Then we do

6/2=3

x=3

a soda company puts a different symbol on a soda cap each year. ​

Answers

Answer:

cool

Step-by-step explanation:

HELP ON MATH PLS HELPPPPPPpppp

Answers

Answer:

The answer is 14

Step-by-step explanation:

nOiCe

Is my work correct here I'm supposed to find the first four terms using the recursion formula?

Answers

Answer:

yes your formula is correct

Step-by-step explanation:

Tara has five 10p coins and four 20p coins in her purse. She takes out two
coins at random. What is the probability that she takes out at least 30p?

Answers

Answer:

4/9

Step-by-step explanation:

9 coins in total

Amount of combinations to get 30p is 4 ways

so 4/9

Which of the following is a prime number between 50 and 60?
A.
55
B.
53
C.
57
D.
51

Answers

Answer: B, 53

53 is the only prime number between 50 and 60

how do I find the value of m in 3.6+m=10

Answers

subtract 3.6 from both sides of the equal sign in order to isolate m. In simpler terms: subtract 3.6 from 10, which will give you the value of m.

-8x^3 - x^4 + 1/9 + x

Answers

PLEASE GIVE ME BRAINIEST IF I HELPED YOU!!! THANKS!! HAVE A GOOD DAY/NIGHT!!!

also......

X=5

Which algebraic expression is equivalent to the expression below?
A.24x +30
B.6x- 1
C.6x-9
D.24x -30 6(4x - 5)

Answers

Answer:

Step-by-step explanation:

Can someone help me? What is the solution for x-2 > 15 ?
Thank you!

Answers

Answer: X=17

Step-by-step explanation:

Answer:

Any number above 17

18 works.

Step-by-step explanation:

18-2 = 16

16 > 15

> means the number on the left is greater.

Hope this helps.

NEED HELP/WILL MAKE BRAINLY
Jorge needs to paint the circular tops of five identical tables. Each table has a circumference of about 12.6 feet. He has a 1-pint can of paint, which will cover about 70 square feet of surface area.

Which statement is true for this situation?

Group of answer choices

He will have enough paint to put two coats of paint on all of the tables.

He will have enough paint to put one coat of paint on only four of the tables.

He will have enough paint to put one coat of paint on all of the tables.

He will have enough paint to put one coat of paint on only three of the tables.

Answers

Answer: He will have enough paint to put one coat of paint on all of the tables.

14.5 divided bye 9 please

Answers

Answer:

1.61111111

Step-by-step explanation:

calculator

Answer:

1.6111111111.... or 1 11/18

Step-by-step explanation:

Well you just divide

14.5/9

Can yall help me with this pls its due rn and im cryinggggg ill definetly give brainliesttt : (

Answers

Answer:I would just guess and put 55 because 20x+35 would be 55x

Step-by-step explanation:

Answer:

4x         75

Step-by-step explanation:

Now I have never seen a question like this but it would make sense if the GCF is 5, 4x and 7 since 5 x 4x = 20x and 5 x 7= 35.

So the blank x would be 4 x, the right side would be 7 and the bottom left would be 5.

The perimeter of a rectangular horse pasture is
38 meters. The length is 5 meters more than its
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Answers

Answer:

W = 7

Step-by-step explanation:

I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE

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Answer:

i would need to see all four to be able to answer ?

Step-by-step explanation:

A phone company charges a sign-up fee of $3.50, plus $x for every hour the phone is
used. If Brian talked on the phone for 12 hours and paid a total of $75.50, which of the
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Answers

Answer:

...........................

A clothing store used the sign shown below to advertise a discount on shirts. **DISCOUNT** BUY 2 SHIRTS, GET 50% OFF THIRD SHIRT. *** Olivia wants to buy three shirts, which were originally priced $42.45 each. The store will discount the price of the third shirt and then apply a 8.25% tax to the total cost of all three shirts. Including the tax, what is the total cost of the three shirts? 5 points

Answers

Answer:

114.88

Step-by-step explanation:

Find the measure of angle 5, if m<2 is 120°

Answers

Answer:

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Step-by-step explanation:

I hope that is useful for you :)

60 Points! Please answer correctly no bull answers if you don't know it don't answer!
But if you do know the answer plz answer quickly! WILL GIVE BRAINIEST, FASTEST ANSWER! EXPLAIN PLEASE <3333

Answers

Answer:

22.44 cm^2

Step-by-step explanation:

There's four triangles and one square so lets start with the triangles.

2.24×3÷2=3.36

That's the area of one triangle, there's four so:

3.36×4=13.44

Then the square!

3×3=9

13.44+9=22.44 cm^2

I'm not sure if this is the standard way since I didn't learn about pyramids so I used the area stuff, so sorry if its not correct.

Have a nice day!

What's the perimeter?

Answers

Answer:

the line crossing the trapezoid, the one that helps you find the S. In this case the perimeter is 4 (;

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

perimenopause is inside just count the inside of the trapezoid

hope this helps

Khloe is measuring yarn to make jewelry for her birthday party. She needs 4 feet of yarn for necklaces.How many inches of yarn does Khloe need?

Answers

Answer:

JUST MULTIPLY 4x12=.... and youll find the answer

Step-by-step explanation:

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The formula c=pi*d can be used to find circumference

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A. Skewed Right
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D. Normal

Answers

Skewed Right I think. I'm not sure but try it

Answer:

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Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

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Answers

Your missing value would be 47
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What is the correct factorization of
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Hurry

Answers

Answer:

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Step-by-step explanation:

hope this helps! :)

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Answers

Answer:

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Step-by-step explanation:

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