Solve using factoring n2 - 7n = 0
2 answers:
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Answer:
23 years
Step-by-step explanation:
Step 1: Calculate the rate constant (k) for the radioactive decay
A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.
ln [A]/[A]₀ = - k.t
k = ln [A]/[A]₀ / -t
k = ln 0.97 [A]₀/[A]₀ / -1 year
k = 0.03 year⁻¹
Step 2: Calculate the half-life of the substance
We will use the following expression.
= ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years
Total number of Bananas = 18
Number of Bananas that are left = 10
Percentage of Bananas that are left = x
Mathematically, x can be expressed as:
Thus the correct percentage of number of bananas that are left is expressed by option c.
Number of Bananas that are left = 10
Percentage of Bananas that are left = x
Mathematically, x can be expressed as:
Thus the correct percentage of number of bananas that are left is expressed by option c.