The radioactive substance cesium-137 has a half-life of $$ 30 $$ years. The amount $$ A ( t $$ ) (in grams) of a sample of cesium-137 remaining after $$ t $$ years is given by the following exponential function. $$A ( t ) = 862 ( \frac { 1 } { 2 } ) ^ { \frac { t } { 30 } }$$.Find the initial amount in the sample and the amount remaining after $$ 50 $$ years. Round your answers to the nearest gram as necessary.

Question

The radioactive substance cesium-137 has a half-life of $$ 30 $$ years. The amount $$ A ( t $$ ) (in grams) of a sample of cesium-137 remaining after $$ t $$ years is given by the following exponential function. $$A ( t ) = 862 ( \frac { 1 } { 2 } ) ^ { \frac { t } { 30 } }$$.Find the initial amount in the sample and the amount remaining after $$ 50 $$ years. Round your answers to the nearest gram as necessary.

Smith Mullins · Accepted Answer

862$$862 \cdot 0.5 ^ { \frac { 5 } { 3 } } = 271.51298$$

Answer
Expert-Verified Answer

Still have questions?
Ask UpStudy online

Answer Expert-Verified Answer

Related Questions

Still have questions? Ask UpStudy online

Answer
Expert-Verified Answer

Still have questions?
Ask UpStudy online