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an element with mass 730 grams decays by 28.8% per minute. how much of the element is remaining after 10 minutes, to the nearest 10th

Question

An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest 10th of a gram?

Answer

4.6 (310 Votes)
Verificación de expertos
Tommy Professional · Tutor for 6 years

Answer

### 18.3 grams

Explanation

## Step 1: Identify the decay rate per minute### The element decays by per minute, which means the remaining amount is per minute, or times the previous amount.## Step 2: Determine the decay formula### The remaining mass \( m(t) \) after minutes can be modelled by the formula \( m(t) = m_0 \times (decay\,factor)^t \), where is the initial mass and the decay factor is .## Step 3: Calculate the remaining mass after 10 minutes### Initial mass grams, decay factor = , and : ## Step 4: Compute the numerical value### Using a calculator or computation tool: