430-18 not in index
p+18=430
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:

Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:

Solve for A. Simplify:

Simplify:

Thus, the initial mass of the sample was:

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
Answer:132
Step-by-step explanation: 1.25-.50=75 the profit of each apple is 75 cents
99 dollars divided by .75 is 132
Answer:
The value of n = -10
Step-by-step explanation:
Given the points
Finding the slope between (3, n) and (4,0)

As slope = 10
using the formula
Slope = [y₂ - y₁] / [x₂ - x₁]
so substituting the values
10 = [0 - n] / [4 - 3]
10 = -n / 1
10 = -n
n = -10
Therefore, the value of n = -10