To solve this question we will use two important formulas.
The first formula involves the calculation of the decay constant, 
which is to be found as:
where 
is the half life of Pb-210 which is given to be 22 years in the question.
Thus, 
Now, we will use the second formula which is called the function of decay formula and is given as:
where 
percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67
percentage of Pb-210 to start with, which is always 100% or 1.
Plugging in all these values in the decay formula we are supposed to find the time, 
.
Taking natural log on both sides we get:
years
Therefore the bone fragment is about 12.71 years old.
Answer:
eY is positive +0.1 therefore bagels are a normal good.
Step-by-step explanation:
Given data:
when, 10% rise in cheese price, 3% fall in bagels quantity observed
when, 10% rise in income, 1% fall in bagels quantity observed
from formula for cross price elasticity of demand, determine 
As, eAB is negative, bagels $ cream cheese are complements.
By formula for income elasticity of demand,
we find that
Since eYis positive, bagels are a normal good.
Answer:
Step-by-step explanation:
Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is
I = PRT/100
Where
I = interest
P = principal(amount borrowed from the bank)
R = 9% ( rate at which the interest is charged
T = number of years
At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215
Therefore,
The interest = 24215 - 16700 = 7515
Therefore
7517 = (16700 × 9 × t)/100
751700 = 150300t
T = 751700/150300
T = 5 years
Converting 5 years to months,
1 year 12 months
5 months = 12 × 5 = 60 months
700 + 82 = 782
Since 782 is greater than or equal to 750, it can be rounded to 800.
Answer:
two nickles and six dimes
Step-by-step explanation:
x= dimes
y=nickles
.10x+.05y=0.70
plug in random whole numbers that add up to eight 8 for example you can do x=5 and y=3
that gives you .5+.15=.65
keep doing that until you get x=6 and y=2
