consider the table of values below. calculate the associated growth/decay factor for the table of values provided.
time value
0 14.80
1 20.61
2 28.68
3 39.92

write your answer as a decimal, rounded to the nearest hundredth.

Q(t) = 14.8(1.392)t

Explanation:

Let us  consider a decay model defined as Q=abt, where t is the time, b is the rate, a is a constant and Q is the quantity at time t

Now, at t=0 quantity = 14.8

Substituting t=0 in our model,

14.8=a

Now, at t=1, quantity = 20.61

Substituting t=1 in our model,

20.61 = 14.8b1,So,

b= 1.392

At t=2,

Q = 14.8(1.392)2 = 28.66 which satisfies our table,

at t=3,

Q = 14.8(1.392)3 = 39.92 which again satisfies the table value

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i