To solve this we are going to use the half life equation

Where:

is the initial sample

is the time in years

is the half life of the substance

is the remainder quantity after

years
From the problem we know that:



Lets replace those values in our equation to find

:




We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be
91.7 grams.
Answer:
Follows are the explanation to the given question:
Step-by-step explanation:
Its determination of inventory amounts for various products. Its demand is an excellent illustration of a dynamic optimization model used in my businesses. Throughout this case, its store has restrictions within this room are limited. There are only 100 bottles of beverages to be sold, for instance, so there is a market restriction that no one can sell upwards of 50 plastic cups, 30 power beverages, and 40 nutritional cokes. Throughout this situation, these goods, even the maximum quantity supplied is 30, 18, and 28. The profit for each unit is $1, $1.4, and $0.8, etc. With each form of soft drink to also be calculated, a linear extra value is thus necessary.
Answer:
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
Step-by-step explanation:
We need to find mistake make in work below:

The mistake here is when we have even power, the negative sign gets positive i.e
if m is even
so, in our case it would be:

The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
Answer:
False
Step-by-step explanation:
Parallel lines never touch