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3 years ago

9

A puzzle book cost $4.25. A NOVELCOST $9.70 more than the puzzle book. Which is the most reasonable estimate for the total cost

of both items: $14, $16 $18.

2 answers:

Vitek1552 [10]3 years ago

5 0

18. Just add them and you should get 1&

NNADVOKAT [17]3 years ago

3 0

Answer:

$18

Step-by-step explanation:

$4.25 + $9.70 + $4.25 = $18.20

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The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

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If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

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Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

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$S(t)=0.975^ts$

So that after 50 years, the amount of strontium-90 that remains is approximately

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or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

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