Answer:
Step-by-step explanation:
PEMDAS is a set of rules which are followed while solving mathematical expressions. These rules start with Parentheses, and then operations are performed on the exponents or powers. Next, we perform operations on multiplication or division from left to right. Finally, operations on addition or subtraction are performed from left to right.
Answer:
The approximate age of the bone is approximately 11552 years.
Step-by-step explanation:
The current proportion of carbon-14 with respect to its original amount is defined by following formula:
(1)
Where:
- Current amount of carbon-14, no unit.
- Initial amount of carbon-14, no unit.
- Time, in years.
If we know that 
, then the approximate age of the bone is:
The approximate age of the bone is approximately 11552 years.
Answer:
$43.74
Step-by-step explanation:
will pay= $45
10% of =$45×10/100=$4.5
so, $45-$4.5= $40.5
8% tax= $40.5×8/100 =$3.24
total= $43.74
The quotient of 5 1/4 and 3/16 is 28
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
