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guajiro [1.7K]
3 years ago
9

Strontium-90 has a half-life of about 29 years. After 65 years, about how many grams of a 25-gram sample will remain?

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Answer:

Ending Amount = Beginning Amount / 2 ^ n

where 'n' = number of half-lives n = 65 / 29 = 2.2413793103

Ending Amount = 25 g / 2^2.2413793103

Ending Amount = 25 / 4.7284892286

Ending Amount = 5.2871009727  g = 5.29 g (rounded)

Step-by-step explanation:

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd
zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

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Step-by-step explanation:

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ratelena [41]
20 = 40e^-0.1446t
e^-0.1446t = 0.5

t  = ln 0.5 / -0.1446
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4 0
3 years ago
28. Higher Order Thinking What is the<br> least multiple 6 and 8 have in common?<br> Explain.
lisov135 [29]

Answer:

24

Step-by-step explanation:

I think you ask about LCM

6- 2×3

8- 2×2×2

lcm = 2×2×2×3 = 24

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3 years ago
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