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quester [9]
3 years ago
5

BRAINLIEST AND POINTS!!! PLEASE EXPLAIN

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

Option C. \$23,134.61

Step-by-step explanation:

we know that

A=\frac{P[(1+r)^{n} -1]}{r(1+r)^{n}}

we have

P=\$400

r=0.075/12=0.00625

n=6*12=72\ months

substitute in the formula

A=\frac{400[(1+0.00625)^{72} -1]}{0.00625(1+0.00625)^{72}}\\ \\A=\frac{226.446972}{0.009788}\\ \\A=\$23,134.61

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Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
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Answer:  2.66 × 10⁻¹³

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

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

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150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

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A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

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4 years ago
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