The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially. How many grams of the substance are left after 300 years?

Answers

Answer 1

Answer:

There are 2,000 grams left after 300 years.

Step-by-step explanation:

Giving the following information:

The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.

First, we need to calculate the reduction of the substance each year:

Yearly reduction= 8,000/400= 20 grams per year

Now, for 300 years:

300 year reduction= 20*300= 6,000

There are 2,000 grams left after 300 years.


Related Questions

Which expression has both eight and N factors

Answers

Answer:

8n

Step-by-step explanation:

8n is the factor of both 8 and n. in the following question. Factor ⇒ If a number, that use to divide another number and we get zero as a remainder, the number is called the factor of another number.

a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common
difference and the 10th term​

Answers

Answer:

Step-by-step explanation:

The nth term of an AP is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

Sixth term

T6 = a+(6-1)d

T6 = a+5d

Third term;

T3 = a+(3-1)d

T3 = a+2d

If the sixth term of an AP is twice the 3rd term, then

a+5d = 2(a+2d)

a+5d = 2a+4d

Given a = 3

3+5d = 2(3)+4d

5d-4d = 6-3

d = 3

Common difference is 3

For the 10th term

T10 = a+9d

T10 = 3+9(3)

T10 = 3+27

T10 = 30

Hence the tenth term is 30

Which ordered pair is a solution to the system of linear equations?


Can you please help me? I will mark biggest brain if correct. Thank you.​

Answers

B pretty simple need in depth let me know

Answer:

can u give me ur Intro..........

use distributive property to find 6×296​

Answers

Answer:

296 x 6 = 1776

Step-by-step explanation:

it’s 296x6 it’s just the opposite form

You have $350,000 to invest. Which investment would yield the greater return in three years; an investment that pays 2.5% compounded monthly or an investment that pays 2.45% compounded daily?

Answers

Answer:

Its better to invest at 2.45% interest rate compounded daily.Step-by-step explanation:

We are given

Principal Amount = $350,000

Time t = 3 years

We need to determine which investment will yield greater return

a) 2.5% compounded monthly

b) 2.45% compounded daily

The formula used will be: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

a) 2.5% compounded monthly

We have P=$350,000 t= 3 years,  r = 2.5 or 0.025 and n= 12

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.025}{12})^{12*3}\\A=350000(1.0021)^{36}\\A=350000(1.079)\\A=377650[/tex]

So, the return of investment in 3 years would be $377650 if interest rate is 2.5% compounded monthly.

a) 2.45% compounded daily

We have P=$350,000 t= 3 years,  r = 2.5 or 0.025 and n= 365

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.0245}{365})^{365*3}\\A=350000(1.000067)^{1095}\\A=350000(2.0821)\\A=728735[/tex]

So, the return of investment in 3 years would be $728735 if interest rate is 2.45% compounded daily.

So, if we invest 2.45% interest rate that is compounded daily we will make $728735 while if we invest 2.5% interest rate that is compounded monthly we will make $377650

So, its better to invest at 2.45% interest rate compounded daily.

What is the slope of the line?

Answers

Answer:

24'

Step-by-step explanation:

the slop aims for the angle in which the 78 can go in: hope this helps!!

Ok so the slope of this line is approximately (2,1)

In a race, 47 out of the 50 swimmers finished in less than 35 minutes. What percentage of the swimmers finished the race less than 35 minutes?
47*_____=_______
50*_____=_______=______%

Answers

Answer:

94%

47*2=94

50*2=100

Step-by-step explanation:

Answer: 94% of the swimmers finished the race in less than 35 minutes.

Step-by-step explanation:

There are several ways to go about finding the answer. The best way to solve this, which can be easily applied to other percentage problems is dividing the number of swimmers who finished in this time (47) by the total number of swimmers (50) (Using a calculator).

47/50 = 0.94

To change a decimal to a fraction, move the decimal place over two spaces to the right. Therefore, 0.94 becomes 94%.

Way 2:

This only works because there the number of swimmers are a multiple of 100.

50 is 1/2 of 100. To get the full 100, you can multiply both the numerator and denominator by 2.

Multiply 47 by 2 to get 94 and 50 by 2 to get 100. Thus, 94/100 swimmers would have finished in under 35 minutes. 94/100 = 94%

$3.00 markup 72%
Thanks for helping

Answers

Answer:

$5.16

Step-by-step explanation:

3.00 times 0.72 is 2.16. Because it's a markup that means you add. 3.00 plus 2.16 is 5.16.

I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh?

Answers

Answer:

1.72 pounds

Step-by-step explanation:

1.25 + 0.14 + 0.33 =1.72 pounds

Y=3/2x+3
y=-3 solve.

Answers

Answer : x= -4

This type of problem, you set them equal to each other. And then solve. Don’t forget you can multiply each side by denominator to eliminate the fraction.
Work:

GIVING BRAINLIEST!
What kinds of observations can you make that might indicate a chemical change is taking place?

Answers

Answer:

1. Color Change.

2. Production of an odor.

3. Change of Temperature.

4. Evolution of a gas (formation of bubbles)

5. Precipitate (formation of a solid)

Step-by-step explanation:

Evaluate the expression when a=3 and b= 19.
b-4a

Answers

Answer:

7

Step-by-step explanation:

19 - 4(3) = 19 - 12 = 7

please give me a brainiest

6,726 ÷ 85
with the remainder

Answers

Answer:

79.13

Step-by-step explanation:

i need help for this question

Answers

Answer:

4, 4, and 8

Step-by-step explanation:

2 cups * 2 marshmallows per cup = 4 marshmallows

8 marshmallows / 2 marshmallows per cup = 4 cups of hot cocoa

16 marshmallows / 2 marshmallows per cup = 8 cups of hot cocoa

the rest of the space you need to fill in I think it’s 1,2 then 2,4 then 4,8 then 8,16 because your multiplying it by 2 each time. Hope this helps:)

Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants to be paid at least $500. Which inequality can be used to find the number of sales she needs to make?
A. 100-15x ≤ 500
B. 100+15x ≤ 500
C. 100-15x ≥500
D. 100+15x ≥ 500

Answers

Answer:

its B I think so yea

Step-by-step explanation:

A basketball game has four quarters. The length of a game is 32 minutes. You play the entire game except 4.5 minutes. Write and solve an equation to find the mean time you play per quarter.

Answers

Answer: a little bit over 6 minutes i think

Step-by-step explanation:

A 2-column table with 7 rows. Column 1 is labeled x with entries 35, 35, 39, 44, 44, 48, 49. Column 2 is labeled y with entries 439, 440, 417, 615, 409, 403, 404. Leah claims the data in the table contains a cluster. Why is Leah’s statement true? There is no obvious outlier. The y-values are steadily increasing as the x-values are decreasing. The data contains a group of closely occurring points. Leah’s statement is not true.

Answers

Answer:

its c

Step-by-step explanation: A 2-column table with 7 rows. Column 1 is labeled x with entries 0.5, 1, 1.5, 1.5, 2, 2.25, 2.75. Column 2 is labeled y with entries 41, 35, 37, 36, 35, 30, 31.

The data set in the table forms a cluster and does not include outliers.

Which point, if added to the table, would be an outlier?

✔ (2.75, 41 )

Answer:

C. The data contains a group of closely occurring points

Step-by-step explanation:

Edge 2023

help me plssssssss :)

Answers

The second one 2 x 8n.8n.8n.8n

1 As a part of her project, Flora made a scale drawing of the zoo with a scale factor of
1 inch = 5.77 feet. If the diameter of the bug carousel in the drawing was 3 inches, determine the
actual diameter of the carousel.

Answers

Answer:

honestly I have no idea

Step-by-step explanation:

1x-3x=2x

a.
ordered pairs: {(4, –2), (0, 6), (2, 8)}
b.
ordered pairs: {(–2, 4), (0, 6), (2, 8)}
c.
ordered pairs: {(4, –2), (0, 6), (8, 2)}
d.
ordered pairs: {(–2, 4), (6, 0), (8, 2)}



Please select the best answer from the choices provided

Answers

Answer:

Can you give me some more context?

In a game, the probability of landing on yes is 1:2. How many times would you expect to land on yes if you spin the spinner 20 times?

Answer due at 12:00 pm Pacific Daylight Time.

Answers

Answer:

half of the time so 10 times

A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is the value after seven years round the answer to the nearest dollar

Answers

Answer:

Book value= $62.83

Step-by-step explanation:

Giving the following information:

A motorcycle bought for $10,000 depreciates continuously at 9% per annum.

First, we need to calculate the depreciation of seven years:

FV= PV*{[1+(-i/100)]^n}

FV= 10,000*{[1+(-0.09/100)]^7}

FV= $9937.17

Book value= 10,000 - 9,937.17

Book value= $62.83

Please help brooo
Rose and Natalie are saving money for a trip. The table shows the amount of money Rose saves each month.
The graph shows Natalie's savings.

Please help



Which statement about rose and natiles is true

A the women save the same amount of money each month

B the initial value of natalies savings is greater than rose
C the rate of change ROC for roes saving is less than natiles

D after 5 months natalies has saved more money than rose

Answers

i believe it’s C because it looks like natalies roc is $60 while roses is only $50.

What is the slope of the line on the graph

Answers

Answer:

its 2

Step-by-step explanation:

for every 1 x value, the y increases by 2

This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution?
A.) -5
B.) -2
C.) -16/3
D.) -16/7

Answers

Answer:

C) -16/3

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Multiply      3x-6+4x=10x+10

Combine like terms     7x-6=10x+10

Subtract 7x from both sides      -6=3x+10

Subtract 10 from both sides      -16=3x

Divide      -16/3=x

Answer:

Choice C -16/3

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1) <-- Distribute

3x - 6 + 4x = 10x + 10 <-- Combine all like terms

7x - 6 = 10x + 10 <-- Combine all like terms in one side

7x - 10x = 10 + 6 <-- Simplify

-3x = 16 <-- Isolate x by dividing

x = -16/3

Which algebraic expression represents the phrase “seven more than half of a number”?
7 minus one-half x
Negative 7 + one-half x
One-half x + 7
Negative one-half x minus 7

Answers

Answer:

C: 1/2x +7

Step-by-step explanation:

PLEASE HELP ASAP. GIVE ANSWER AND BRIEF EXPLANATION.
The graph is attached
Determine whether the function shown in the graph is even or odd.

A. The function is even because it is symmetric with respect to the y-axis.
B. The function is odd because it is symmetric with respect to the y-axis.
C. The function is even because it is symmetric with respect to the origin.
D. The function is odd because it is symmetric with respect to the origin.

Answers

A. hope this helps):)

help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️​

Answers

Answer:

.66

Step-by-step explanation:

write the expression n n n n n n using an exponent. Name the base and the exponent.​

Answers

Answer:

n⁶

Step-by-step explanation:

Base= n

exponent=⁶

I need help don’t understand

Answers

If f(x)=x+1 and then x became 2, you would have the function f(x)=3. So basically for that function you would be going up three over 1. That function is already g(x)=4x. If X became 2, you would have g(x)=8x. The rate of up 8 and then over one. Because of that, g(x) would be higher

okay first off: we both use the same virtual school and i just thought that was cool lol

the equation for g(x) is g(x)=4x-5 so when you substitute in x it becomes

g(x)= 4(2) -5 or g(x)= 8-5 which equals g(x)=3

when you substitute in x, f(x) becomes

f(x)= 2 + 1 which equals f(x)=3

therefore when x=2, both functions are equal :)

hope this helps!!

Other Questions
A cylindrical garbage can has the dimensions shown. A cylinder has a diameter labeled twelve inches and height labeled fifteen inches.What is the area of the horizontal cross section of the cylinder? Use 3.14 for . Which sentence best describes what "State of Mind" is mainly about?A The company responsible for inventing the Guided Decision Chip is known as TruVoice.B Norman Hall, a long-time resident, is living a lie because he really does think the chip is a good idea.C A chip is implanted in the brains of citizens, making them think alike and lose their own opinions.D It's the free exchange of ideas and lively debate that make us who we are. Explain and give an example of inversion in DNA sequencing. Please help! Thanks!! please help this is due soon 2 What is the answer plz help me Earth Science Read the excerpt from Animal Farm. The whole farm was deeply divided on the subject of the windmill. Snowball did not deny that to build it would be a difficult business. Stone would have to be carried and built up into walls, then the sails would have to be made and after that there would be need for dynamos and cables. (How these were to be procured, Snowball did not say.) But he maintained that it could all be done in a year. And thereafter, he declared, so much labour would be saved that the animals would only need to work three days a week. Napoleon, on the other hand, argued that the great need of the moment was to increase food production, and that if they wasted time on the windmill they would all starve to death. The animals formed themselves into two factions under the slogan, "Vote for Snowball and the three-day week and "Vote for Napoleon and the full manger." Why does Snowball want to build a windmill? He wants to compel the animals to work harder. He wants to increase food production immediately. He wants to find a use for the stone on the farm. He wants to make the farm run more efficiently. Mark this and return i need help on this now plz 6th grade math i mark as brainliest If 1 kg = 2.2046 Ib, how many pounds equal 5.0 kilograms? What was the difference between the Sack of Baghdad and the Sack of Constantinople? What are two fungal skin infections that humans can contract? How is the president of the United States chosen? The candidate with the most votes nationwide is elected. The candidate who wins the popular vote in the largest number of states is elected. The candidate with the most votes in the two houses of Congress is elected. The candidate with the most votes in the Electoral College is elected. What is tidal range My bed is sending out serious nap rays.is this personification? uiz can be taken twice.Question 91 ptsWhile marble is cold stone, the artist can create warmth and living qualities by the usetexture.of Which statement best compares viruses and pathogenic protozoa?A Viruses cause communicable diseases and pathogenic protozoa do not. Pathogenic B protozoa cause communicable diseases and viruses do not. Both viruses and C pathogenic protozoa cause communicable diseases. Neither viruses nor pathogenic D protozoa cause communicable diseases. SOLVE THIS PLEASENiceImpressiveGreatGoldenEagerRespectible What impact did nationalism have on people on the Italian peninsula? HELPP ASAP PLEASE Using the information given, select the statement that can deduce the line segments to be parallel. If there are nothen select none.When m7=24AB || DCAD II BCnone