Answer:
The value of c is 3
Step-by-step explanation:
Here, we want to get the value of c
From the question, we can select a single x-point
when x = 16
f(x) = 2
g(x) = -1
Thus;
g(16) = f(16) - c
-1 = 2 - c
c = 2 + 1
c = 3
I can help, can you give me a little more detail?
Answer:
There will be a 100 branches on tree in approximately 12 years.
Step-by-step explanation:
Concluding part of the question
In how many years will the number of branches be 100?
Solution
N(t)=38 × (9/5) ^ t/7.3
N(t)=38 × (1.8) ^ t/7.3
a) N = 100, t = ?
100 = 38 × (1.8) ^ (t/7.3)
(100/38) = (1.8) ^ (t/7.3)
2.632 = (1.8) ^ (t/7.3)
Taking the natural logarithms of both sides,
In 2.632 = In [(1.8) ^ (t/7.3)]
0.9676 = (t/7.3) × In 1.8
0.9676 = (t/7.3) × 0.5878
t = (0.9676 × 7.3) ÷ 0.5878
t = 12.02 years = 12 years.
Hope this Helps!!!