The answer is 28 years
At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079
t = ?
12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)
Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
t = -0.223 / -0.0079
t = 28.23
t ≈ 28 years
Answer:
Answer will be 
Step-by-step explanation:
We have given the expression 
We have to simplify this expression with the help of property of exponent
According to property of exponent when there is exponent to exponenet then both the exponent are multiplied with each other
So 
Here 4 and 3 are exponent to exponent so these are multiplied with each other
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>The cost of 3.5 lb of sour belts:</u>
<u>Simplify:</u>
Answer:
8 intersections
Step-by-step explanation:
Miss Stevens drove through a total of 36 intersections on her way home from work last week.
At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .
This is calculated as:
36 intersections ÷ 16 intersections
= 2 4/16
= 2 1/4
At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .
4 of every 16 intersections = stop for a red light
Hence:
16/4 = 4 intersections
Hence: 4 intersections = 1 stop for a read
The number of intersections that Miss Stevens had to stop for a red light is:
2 × 4 intersections = 8 intersections
Answer:
n < 9
Step-by-step explanation:
Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.
