Question

Which of the following are examples of exponential decay? Select all that apply.

Answer 1

Answer: the answer is A , D, And G in Algebra Nation

Step-by-step explanation:

I did it and got it right

Answer 2

Q) Which of the following are Exponential decay? Select all that apply.

1)  A vehicle depreciates 13% each year.

2) A tree is doubling in height each year.

3)  An investment earns a 5% interest each year.

4) Air pressure decreases 12% for every 1000 meters in height.

5) The population of a town is growing at an annual rate of 3.5%.

6) A retirement account decreases by $12,000 each year.

7) A radioactive element has a decay rate of 10%.

Answers 1,4,6, and 7 are Applicable.

 A vehicle depreciates 30% each year.

• This means the cost of the vehicle according to the age of the car.
• If the age of the car is less than 6 months, the cost of the vehicle will be decreased to 5%

• If the age of the car is More than 6 months but not above 1 year, then the cost will be reduced to 15%

• More than 1 year but not above 2 years, then the cost will be 20%

• More than 2 years but not above 3 years then the cost will be 30%
• More than 3 years but not above 4 years. then 40%
• More than 4 years but not above 5 years, then 50%
• So we can conclude that a vehicle depreciates 30% every year.

Air pressure decreases 12% for every 1000 meters in height.

• Gravity from the earth pulls air down. This is called air pressure.

Air pressure decreases with increasing altitude(height).

• The density of air becomes heavier near the surface of the earth due to gravity. As we go to higher altitudes the density becomes lighter.
• This is the reason why air pressure decreases with increasing altitude.

A retirement account decreases by $12,000 each year.

• when we retire early we will get more money than retiring late.
• Our capacity to work also will be calculated.
• If the retirement account decreases by $ 12,000 each year, there occurs exponential decay.

A radioactive element has a decay rate of 10%.

• The rate of radioactive decay is calculated in terms of their half-lives.
• Half-life is the amount of time taken by a radioactive isotope to lose its radioactivity.
• Half of its atoms will be decayed within 14 days.
• Thus we can conclude that a radioactive element has exponential decay.

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