Explanation:
Hello! Please remember to formulate complete questions to receive accurate answers. I will assume that the depicted function derives from:
This describes the equation of a parabola that opens upwards, with its vertex positioned at:
The graph below illustrates this function. What is true about the graphed function f(x)?
- It is accurate that the domain consists of all real numbers, as this is a polynomial function.
- It is also correct that the range includes all real numbers where y ≥ 5
- It is indeed true that this parabola opens upwards
- It is valid to say it does not intersect the x-axis
0.027%. A bank promotes an APR of 5.5% for personal loans. To address this problem, we will utilize the Annual Percentage Yield formula. In this formula, r signifies the interest rate in decimal form, and n represents the number of compounding periods per year. First, we convert the interest rate into decimal format. Next, we will calculate APY while compounding monthly using n = 12 and r = 0.055 within the APY formula. We proceed to do the same for quarterly compounding by substituting n = 4 and r = 0.055 into the APY formula. To determine the difference, we subtract the quarterly APY from the monthly APY. Therefore, the APY for monthly compounding is 0.027% higher than for quarterly compounding.
Answer:
The original cost amounts to $10
Step-by-step explanation:
Let us denote the cost as x
where Price = x + (0.5x) = 1.50x
Now, the price after reduction is 20% of 1.50x
which is 0.3x 
This leads to the equation 1.50x - 0.3x = 12
resulting in 1.2x = 12
which gives us x = 10
thus, the cost is $10
A geometric sequence models the bounce heights:
Use the formula
A (subscript n) = Ar(n-1)
a = the first-term value
n = the index of the term you want (for the fourth peak, n = 4)
r = common ratio, found by dividing the second term by the first
Here r = 18/27 = 2/3 because 27×(2/3) = 18, and similarly 18×(2/3) = 12
For the fourth peak n = 4
Compute: 4th term = 27(2/3)^(4-1) = 8
Therefore the height at the fourth peak is 8
Indeed, Maddie1261, it can be represented as both an improper fraction and a mixed number. Steps: Set the decimal as "x"; this simplifies the process of temporarily ignoring the 2. Multiply the entire equation by the relevant place value; I used 100 since the first 6 is in the hundredths. Then simplify and perform the subtraction. Lastly, solve the equation to find that the improper fraction form of 2.161616 is
, and as a mixed number, it is
.
