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Dima020 [189]
3 years ago
14

A store is giving away a $10 dollar coupon to every 7th person to enter the store and a $25 coupon to every 18th person to enter

the store. Which person will be the first to get both coupons?
Mathematics
1 answer:
muminat3 years ago
7 0

A store is giving away a $10 dollar coupon to every 7th person to enter the store and a $25 coupon to every 18th person to enter the store.

To find the first person to get both coupons, you have to find the LCM of 7 and 18. First list the multiples of each number.

7 - 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133

18 - 18, 36, 54, 72, 90, 108, 126, 144

The common multiples are bold. The <u>126th person</u> will be the first to get both coupons.

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Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows
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Answer:

The amount of Polonium-210 left in his body after 72 days is 6.937 μg.

Step-by-step explanation:

The decay rate of Polonium-210 is the following:

N(t) = N_{0}e^{-\lambda t}     (1)

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The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.    

First, we need to find the decay constant:

\lambda = \frac{ln(2)}{t_{1/2}}    (2)

Where t(1/2) is the half-life of Po-210 = 138.376 days

By entering equation (2) into (1) we have:

N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g    

Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.  

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