9th grade workkkk

Question

An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes, to the nearest 10th of a gram?

Answer 1

Can you calculate and answer?

Answer 2

For this question you will want to use the growth and decay formula, which states

Amount after a certain time = Initial amount × ( 1 plus or minus depending on growth or decay % / 100) ^ time

So, let's fill in the given information

A = 780 ( 1- 17.1/100 )¹⁹

A = 780 (0.829)¹⁹

A = 22.11214

The final answer is 22.1

Answer 3

An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes, to the nearest 10th of a gram?

Take your time to review the question and list the important facts also determine the formula which you need to solve the word problem. Remember to Show your Work

What's given in the problem:

Initial mass: 780 grams

Decay rate: 17.1 % per minute

Time: 19 minutes

Step 1:

Formula used to solve problem:

Exponential Decay Formula: A = Ao(1-r)^t

A is the amount remaining

Ao is the initial amount

r is the decay rate

t is the time

Step 2:

Calculate the remaining Percentage after Decay.

Remaining percentage: 100 % - 17.1% = 82.9% convert to decimal = 0.829

Step 3;

Apply the exponential decay formula: A = Ao(1-r)^t

Information Used to solve the equation:

Initial mass: 780 grams

Remaining percentage: 82.9% convert to decimal = 0.829

Time: 19 minutes

A = Ao(1-r)^t = A = 780 x (0.829)^19 = 22.1121353 = 22.11

22.11 (round off as specified): nearest tenth = 22.1

Solution:

The remaining amount of the element after 19 minutes is 22.1 grams.

I hope this information is useful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.

Answer 4

See the videa.