Answer:
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
Step-by-step explanation:
The given function is 
We can rewrite this function by factoring -4 in the radicand to get:
We further simplify the square root of 4 to get:
The parent function is 
When we compare to the parent function, there is a stretch by a factor of 2, reflection over the y-axis, and translation 9 units left
The last option is correct
The margin of error can be calculated with the formula:
ME = z · √(p(1-p)/n)
where:
p = sample proportion
n = sample size
z = z-score
In your case:
p = 90 / 120 = 0.75
ME = 2.58 · √(0.75·0.25/120)
= 0.10
= 10%
The margin of error will be 10%.
The "rule of 72" says that the doubling time in years is approximately 72 divided by the interest rate in percent. To make the money grow by a factor of 4 requires that it double twice, so will take twice as long as the period to double once.
2×72/11.3 ≈ 12.7 . . . . years
_____
The "rule of 72" is an approximation. The actual quadrupling time for this interest rate and compounding is about 12.6 years. (The actual product of doubling time and nominal interest rate is about 71.25.)
$300 income
$250 + $100 = $350 expenses
$300 - $350 = a loss of $50
