Answer: The common ratio, r
Step-by-step explanation: r^2 = 1536/24... r^2 = 64... Square root both sides to get... r = 8
7th term - 4th term = 3
31 - 16 = 15.... 15/3 = 5... so d = 5
Answer:
When simplified, the square root of 23 is a non-terminating and non-repeating decimal. This, and the fact that it can't be written as a fraction is why it is an irrational number.
Answer:
x = 
Step-by-step explanation:
Given equation is,

By solving this equation,
[tangent of any angle is negative in IInd and IVth quadrants]
x =
,
x = 
Therefore, value of x in the interval of [0, 2π] are
.
9514 1404 393
Answer:
- 2% growth per year
- 25,000 to start
- 12 years
- 31,706 currently
Step-by-step explanation:
The base of the exponent is (1 +0.02). The value 0.02 = 2% is the growth rate. It is positive, signifying a 2% rate of growth per year. (Negative values would mean decay.)
The number 25000 that multiplies the exponential term is the value of the expression when the exponent is zero. It represents the starting population.
The exponent is said to be in years, so the time is 12 years.
The current population is the value of the expression:
25,000(1.02^12) ≈ 31,706 . . . . current population