After 1 year it is worth 108% of its original value
108% = 1.08
so 1.08 x 1000 = $1080
After 2nd year it is worth 92% of that $1080
92% = 0.92
so 0.92 x 1080 = $993.60
The third choice is appropriate.
an = 5 - 3(n - 1); all integers n ≥ 1
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This equation follows the form for the general term of an arithmetic sequence.
an = a1 + d(n - 1)
where a1 is the first term (corresponding to n=1), and d is the common difference. From the problem statement, a1 = 5 and d = 2 - 5 = -3.
Answer:
The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:
logb(a) = x ⇒ a = bˣ
So, for b = 0 ⇒ 0ˣ = a
And there is impossible, "a" only could be 0.
For b = 1 ⇒ 1ˣ = a
And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.
For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.
So, 0<b<1 and b >1.
I think that the only polynomial that has a solution that are real numbers is:
B) x² + 4x + 3 = 0
(x + 3) (x + 1) → x² + 1x + 3x + 3 → x² + 4x + 3
(x+3) = 0 → x = -3
(x + 1) = 0 → x = -1
Real numbers are number that are whole numbers, rational and irrational numbers, positive and negative numbers, and even zero.
Answer:
x=7
Step-by-step explanation:
