Answer:
The value of c is 12.25
Step-by-step explanation:
we know that
A perfect square trinomial is of the form
In this problem we have
so
equate the equations
we have
the following equations
-----> equation A
and
-----> equation B
<u>Solve the equation A</u>
<u>Solve the equation B</u>
therefore
The value of c is 12.25
Answer:
t (years)= (10log 20/log 1000) in base 10
Step-by-step explanation:
N = 5 × 10^0.3t
N = 100 branches
100 = 5 × 10^0.3t
100/5 = 10^0.3t
20 = 10^0.3t
Taking log of both sides
Log 20 base 10 = 0.3t
Log 20 base 10 = (3/10)t
Multiply both sides by 10
10log 20 base 10 = 3t
Recall, log 1000 base 10 = 3
10 Log 20 base 10 = (log 1000 base 10)×t
t = (10Log 20 base 10)/(log 1000 base 10)
t (years)= (10log 20/log 1000) in base 10
The number of years it will take for the tree to have 100branches is (10log 20/log 1000) in base 10
