Complete Question:
The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)^7 B. 5(7)(0.06) C. 5(1.06)^7 D. 5(7)(1.06)
Answer:
C. 5(1.06)^7
Step-by-step explanation:
The volume of a tree increases by 7% every year
The formula we would be using is
V(t) = Vo (1 + r)t
Where V(t) = Volume after t years
Vo = Present of initial volume
r = rate of increase
t = time
From the question,
V(t) = Volume after t years = unknown
Vo = Present of initial volume = 5m³
r = rate of increase = 6% = 0.06
t = time = 7 in years
V(t) = 5 × ( 1 + 0.06)^ 7
V(t) =(5)(1.06)^7
Therefore, its volume be after 7 years if its volume is 5 cubic meters now is
Option C: (5)(1.06)^7
The answer is X=-2
Hope it helps!
Answer:
a) 66
b) 45
Step-by-step explanation:
We have 12 horses and after the first race 2 of them have to be eliminated
that condition is equal to consider that 10 horses will be available for the second race.
The number of possiblities we have for the first race is the combination of 12 horses in group of 10
C¹²₁₀ = 12!/ (2!)* (12-2)! = 12*11/2 = 66
For the second race
C¹⁰₈ = 10! / 8! * (10-8)! = 10*9/ 2 = 45
Answer:

Step-by-step explanation:
The product of two numbers is always rational.
Answer:
Step-by-step explanation:
9y = -4x + 6
y = -4/9x + 2/3