Cannnn someone help me
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Answer:
a)
b) When t = 10, Q = 7.845.
Step-by-step explanation:
The value of a quantity after t years is given by the following formula:
In which is the initial quantity and r is the rate that it changes. If it increases, r is positive. If it decreases, r is negative.
a) Write a formula for Q as a function of t.
The initial value of a quantity Q (at year t = 0) is 112.8.
This means that .
The quantity is decreasing by 23.4% per year.
This means that
So
b) What is the value of Q when t = 10?
This is Q(10).
When t = 10, Q = 7.845.
For this case we must multiply the following expression:
Applying distributive property we have:
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents:
Adding similar terms:
Answer: