Solve the Problem $t = 0$ , There Are $29 \mathrm {~g}$

question 29

Multiple Choice

Solve the problem.
-The half-life of a certain radioactive substance is 8 years. Suppose that at time $t = 0$ , there are $29 \mathrm {~g}$ of the substance. Then after t years, the number of grams of the substance remaining will be:
$$N ( t ) = 29 \left( \frac { 1 } { 2 } \right) ^ { t / 16 }$$
How many grams of the substance will remain after 56 years? Round to the nearest hundredth when necessary.

• A) \(0.64 \mathrm {~g}\)
• B) \(1.28 \mathrm {~g}\)
• C) \(0.32 \mathrm {~g}\)
• D) \(2.56 \mathrm {~g}\)

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Definitions:

Salvage Value

The projected sale proceeds of an asset at the conclusion of its period of utility.

Payback Period

The length of time it takes for an investment to generate enough cash flow to recoup its original cost.

Accounting Rate of Return

The accounting rate of return (ARR) is an accounting metric that measures the profitability of an investment by dividing the average annual profit by the initial investment cost.

Capital Budgeting

The process of evaluating and selecting long-term investments that are in line with the goal of shareholders' wealth maximization.