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The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241

geniusboy [140]

<h2>Answer: 816 years</h2>

This problem can be solved using the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=2.7g$ is the final amount of the material

$A_{o}=10g$ is the initial amount of the material

$t$ is the time elapsed (the quantity we are asked to find)

$h=432y$ is the half life of americium-241

Knowing this, let's find $t$ from (1):

$2.7g=(10g).2^{\frac{-t}{432y}}$

$\frac{2.7g}{10g}=2^{\frac{-t}{432y}}$

$0.27g=2^{\frac{-t}{432y}}$

Applying natural logarithm in both sides:

$ln(0.27g)=ln(2^{\frac{-t}{432y}})$

$-1.309=-\frac{t}{432y}ln(2)$

$-t=\frac{(-1.309)(432y)}{0.693}$

Finally:

$t=816y$

3 0

3 years ago

Three hundred seventeen kids went on a field trip last

arlik [135]

Answer:

310 kids/ 6 busses

310/6=51.6 so

52 or 51 kids on each bus.

3 0

3 years ago

Read 2 more answers

where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto i

irina [24]

Answer:

An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.

5 0

3 years ago

How much will you have in 36 months if you invest $75 a month at 10% annual interest?

marta [7]

Answer:

2970

Step-by-step explanation:

2700+ 270

270 because that is 10% of 2700

2700 because that is 75 x 36

8 0

3 years ago

Joe works for a charity. Each year the charity gives money to different projects. The charity has a total of eight thousand nine

baherus [9]

Answer:

$Each =\pounds 1121$

Step-by-step explanation:

See comment for complete question.

Given

$Total = \pounds 8968$

$Projects = 8$

Required

Determine the amount allotted to each

From the question, we understand that each project gets each allocation.

So, the amount of each is:

$Each =\frac{Total}{Projects}$

$Each =\frac{\pounds 8968}{8}$

$Each =\pounds 1121$

Each project gets £1121

7 0

2 years ago