Answer:
There will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days
Step-by-step explanation:
The given parameters are;
The half life of the radioactive substance = 45 days
The mass of the substance initially present = 6.2 grams
The expression for evaluating the half life is given as follows;

Where;
N(t) = The amount of the substance left after a given time period = 1 gram
N₀ = The initial amount of the radioactive substance = 6.2 grams
= The half life of the radioactive substance = 45 days
Substituting the values gives;




The time that it takes for the mass of the radioactive substance to remain 1 g ≈ 118.45 days
Therefore, there will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days.
1 kilometer = 0.621371 miles
160km*0.621371 miles = 99.4 miles
Answer:
Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
Step-by-step explanation:
Since Charlotte walks home from school every day at a rate of 4 miles per hour and it takes her 30-minutes to reach home, while her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour, to determine how many fewer minutes does it take Noah than Charlotte to reach home from school each day the following calculation must be performed:
Charlotte:
4 mph = 4/60 = 0.0666 miles per minute
0.0666 x 30 = 2 miles
So the distance from the school to her house is 2 miles
Noah:
6/60 = 0.1 mile per minute
2 / 0.1 = 20
Thus, Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
for this case we must write a proportion that shows the earnings obtained from Mrs. Miller for the sale of the house.
By making a rule of three we have:
179000 ------------> 100%
x -----------------------> 6%
Where "x" represents the gains obtained.
So:

Writing the proportion:

The earns were:

ANswer:

Answer:
see below
Step-by-step explanation:
See attached screenshot (too time consuming to type out using latex, so used MS word).