if a sample contains 20g of an isotope that has a half life of 1000 years how much will be left after 2000 years

Answers

Answer 1
5 grams will be left. After the first 1000 years, there will be half of 20 left, or 10. After 2000 years, half of 10 will remain, which is 5.
Answer 2

After 2000 years, there will be 5g of the isotope remaining.

What is an isotope?

If an isotope has a half-life of 1000 years, it means that after 1000 years, half of the original sample will have decayed. After another 1000 years (2000 years total), half of the remaining sample will have decayed, and so on.

To calculate how much of the sample will be left after 2000 years, we can use the following formula:

[tex]N = N_{0} * (1/2)^ (t/T)[/tex]

where:

N = the amount of the isotope remaining after time t

N0 = the initial amount of the isotope

t = the time that has elapsed

T = the half-life of the isotope

Plugging in the values from the problem, we get:

N = 20g * (1/2)^(2000/1000)

N = 20g * (1/2)^2

N = 20g * 1/4

N = 5g

Therefore, after 2000 years, there will be 5g of the isotope remaining.

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Related Questions

A brown mouse is crossed with a heterozygous black mouse if the mother has a litter of four what are the chances of one of them being brown

Answers

Answer:

I used a Punnet Square to determine what percentage of 1 of the mice would be brown.

Explanation:

Scientific studies show that identical twins who were separated at birth and raised in different homes may vary in height, weight, and intelligence. The most probable explanation for these differences is that

Answers

Answer:

Their height and weight will differ depending on there diet, one might be smarter than the other naturally but as their were in different home they will have different ways of comprehending it

Explanation:

I hope that helped

Identical twins who were separated at birth and raised in different homes may vary in height, weight and intelligence

Why difference is observed in height and weight?It is because of the different diet they are taking.The difference can be due to both quality and quantity.It is also because of exercise.The twin with good diet and exercise has appropriate weight.While the one with sedentary habit is over-weight.Why is the difference observed in intelligence?The intelligence not only depends on genetics it also depends on environment.It depends on factors like education, surrounding influences, etc.

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why does individual commit crime?​

Answers

People commit crimes for many different reasons. whether it is for the excitment and thrill of it or whether they were forced to or peer preasured on by another person. Maybe they robbed a bank cause they needed money or they were under the influence of drugs or alchohol

The causes of crime are complex. Poverty, parental neglect, low self-esteem, alcohol and drug abuse can be connected to why people break the law. Some are at greater risk of becoming offenders because of the circumstances into which they are born.

Which type of sensory receptors monitor position and movement of the body?

A. Photoreceptors
B. Chemoreceptors
C. Proprioceptors
D. Exteroceptors

Answers

The answer is Proprioceptors.                             

                         

C is the correct answer my guy

Rachal Corporation produces and sells a single product whose selling price is $150.00 per unit and whose variable expense is $57.00 per unit. The company's monthly fixed expense is $381,300.
Required:
a. Assume the company's monthly target profit is $9,300. Determine the unit sales to attain that target profit. Show your work!
b. Assume the company's monthly target profit is $18,600. Determine the dollar sales to attain that target profit. Show your work!

Answers

Answer:a) if the company's monthly target profit is $9,300, 4,200 units sales is needed

b) if the company's monthly target profit is $18,600, 4,300 units sales is needed

Explanation:

Using  The Contribution Margin Approach:  

Contribution Margin = Sales expense - variable expense

=$150.00 - $57.00

=$93

Contribution Margin Ratio= Contribution Margin/ sales expense  x 100

=93/150 x 100

= 62%

Assume the company's monthly target profit is $9,300.

A) Sales to attain the target profit = [(Fixed expenses + Target profit) ÷ Contribution Margin  ratio]

= ($381,300. + $9,300) ÷ 0.62

$390,600 ÷ 0.62

= $630,000

No. of units to be sold =Sales to attain the target profit/ selling price

$630,000/$150.00

=4,200 units

Assume the company's monthly target profit is $18,600

B) Sales to attain the target profit = [(Fixed expenses + Target profit) ÷ Contribution Margin  ratio]

= ($381,300. + $18,600 )÷ 0.62

$399,900 ÷ 0.62

= $645,000

No. of units to be sold =Sales to attain the target profit/ selling price

$645,000/$150.00

=4,300 units

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