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.

$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 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!!

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:)

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

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

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:

6,726 ÷ 85
with the remainder

Answers

Answer:

79.13

Step-by-step explanation:

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..........

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:

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):)

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.

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

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

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

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.

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%

help me plssssssss :)

Answers

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

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?

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

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

Answers

Answer:

.66

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

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)

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:

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:

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

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

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:

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

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