If the total income generated from gasoline for AER was $408 million how much would be the cost for a barrel of gasoline, gasoli

The bathtub's depth measures 18 inches

It takes 2 minutes to fill 3 inches of the bathtub

Subsequently

The remaining depth needed for filling with water = (18-3) inches

                                                                        = 15 inches

The time needed to fill the remaining 15 inches of the bathtub = (15*2)/3 minutes

                                                                      = 30/3 minutes

                                                                      = 10 minutes

Therefore, John is right in believing that it will require an additional 10 minutes to fill the tub to the brim at the same rate.

Hope this clarifies things!

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 ratio   corresponds to the tangent of ∠I.

Step-by-step explanation:

Let’s revisit the trigonometric ratios:

• sin Ф =  
• cos Ф =  
• tan Ф =  

For triangle HIJ

∵ m∠J = 90°

- The hypotenuse is the side opposite the right angle.

So, HI is the hypotenuse.

∵ HJ = 3 units

∵ IH = 5 units

- We’ll apply the Pythagorean Theorem to solve for HJ.

∵ (HJ)² + (IJ)² = (IH)²

∴ 3² + (IJ)² = 5²

∴ 9 + (IJ)² = 25

- Subtract 9 from both sides.

∴ (IJ)² = 16

- Taking the square root on both sides gives:

∴ IJ = 4 units

To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.

∵ HJ is opposite to ∠I

∵ IJ is adjacent to ∠I

- Utilizing the rule of tan above:

∴ tan(∠I) =

∴ tan(∠I) =

The ratio indicates the tangent of ∠I.

Answer:

The segments of the positive graph are located at the coordinates (-5,-4) and (2,5).

In contrast, the negative segment is identified as (-4,2).

Step-by-step explanation:

The positive graph is above the x-axis, while the negative portion lies beneath the y-axis.

Within the interval (-1,5),

The graph appears below the x-axis between (-1,2)

And above it between (2,5).

At this juncture, Lonzell’s assertion is inaccurate.

Within the interval (-5,-1),

The graph again resides below the x-axis in the range (-4,-1)

And above it between (-5,4).

At this point, Lonzell's assessment remains incorrect.

Thus,

The segments of the positive graph are at the coordinates (-5,-4) and (2,5).

Meanwhile, the negative segment is identified at (-4,2).

Answer:

10 Ships

Step-by-step explanation:

Source: Khan Academy