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uranmaximum [27]
3 years ago
12

A Scientist has 1200 grams of radioactive substance. Every day, half of the substance decays and only half remains.on which day

will the scientist have less than one gram of the substance left ? There will be less than one gram on day ________
Mathematics
1 answer:
Vladimir [108]3 years ago
6 0

Step-by-step explanation:

Day 1: 1200g / 2¹ = 600g

Day 2: 1200g / 2² = 300g

Day 3: 1200g / 2³ = 150g

The pattern is the amount of radioactive substance on day n is 1200 / (2^n).

Therefore, we have to find n where 2^n > 1200.

The first such n is 11 (2¹¹ = 2048).

Hence, there will be less than 1 gram on day 11.

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Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to
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Amount of money Aisha receive from selling all of the bracelets is $33.25.

<u>Step-by-step explanation:</u>

In this question, its given that Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to make. Aisha sells each bracelet for $0.10 more than it cost her to make. Let's calculate Number of bracelets Aisha made as \frac{total-cost}{cost-of-one-bracelet}.

Number  = \frac{total-cost}{cost-of-one-bracelet}

⇒ Number  = \frac{total-cost}{cost-of-one-bracelet}

⇒ Number  = \frac{29.75}{0.85}

⇒ Number  = 35

Now , its given that Aisha sell these bracelets with $0.10 more then it cost her i.e. at $0.95 , Let's calculate selling price as :

Price = 0.95(35)

Price = $33.25

Therefore, amount of money Aisha receive from selling all of the bracelets is $33.25.

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