Solve the Problem $\mathrm { a } _ { \mathrm { n } } = 100 ( 0.2 ) ^ { \mathrm { n } }$

question 192

Multiple Choice

Solve the problem.
-The amount of decay in kilograms of a radioactive isotope each month is given by the sequence whose general term is $\mathrm { a } _ { \mathrm { n } } = 100 ( 0.2 ) ^ { \mathrm { n } }$ , where $\mathrm { n }$ is the number of the month. Find the amount of decay in the third month, and find the total amount of decay in the first three months. Round to the nearest tenth, if necessary.

• A) \(0 \mathrm {~kg} ; 0.2 \mathrm {~kg}\)
• B) \(60 \mathrm {~kg} ; 120 \mathrm {~kg}\)
• C) \(800 \mathrm {~kg} ; 1400 \mathrm {~kg}\)
• D) \(0.8 \mathrm {~kg} ; 24.8 \mathrm {~kg}\)

Appreciate the significance of ratio analysis in assessing a company's liquidity, solvency, and profitability.

Calculate financial ratios and interpret their implications for a company's financial health.

Evaluate a company's financial performance and position using comparative financial statements.

Identify and analyze trends in financial data over time.

---

Definitions:

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration, essential to plant photosynthesis.

Alveoli

Tiny air sacs in the lungs where the exchange of oxygen and carbon dioxide occurs.

Diaphragm

A dome-shaped, muscular partition separating the thorax from the abdomen in mammals, playing a major role in breathing by contracting and expanding the lungs.

Bronchi

The large air passages that lead from the trachea (windpipe) into the lungs and become smaller tubes within the lungs called bronchioles.