See the step-by-step solution below.
Answer:
the second one
Step-by-step explanation:
trust me i've done this before
<span>a.{x | x is a real number such that x^2 = 1}
x^2 = 1 => x = +/- 1
=> {-1, 1} <------ answer
b.{x | x is a positive integer less than 12}
1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer
c.{x | x is the square of an integer and x < 100}
x = n^2 < 100 => n^2 - 100 < 0
=> (n - 10) (n + 10) < 0
=> a) n - 10 > 0 and n + 10 < 0 => n > 10 and n < - 10 which is not possible
b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10
=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer
d.{x | x is an integer such that x^2 = 2}
</span>
x = {∅ } because x is √2 which is not an interger but an irrational number
=> Answer: { ∅ }
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
Amount Josh earn each summer = $2700
Rate of simple interest = 4.5%
According to question, he deposits the same amount each year.
First summer, he deposited = $2700
In Second summer, he deposited = $2700×2= $5400
In Third summer, he deposited = $2700 × 3=$8100
At the end of his third summer, his money becomes,
As we know the formula for "Amount" that it becomes at the end of his third summer:
Hence, Option 'B' is correct.
