The graph below shows a proportional relationship between xxx and yyy. What is the constant of proportionality, \dfrac{y}{x} x y

The expression that represents the balance (b) in relation to the number of years (t) is given as

... b = 2000·2^(t/19)...... the amount increases exponentially and is doubled when t=19

Consequently, when t=5, the balance is

... b = 2000·2^(5/19) ≈ 2400

The correct answer is...

... A. $2400

To find the meal price, divide the tip by the tip percentage:

3.25 / 0.20 = 16.25

The cost of the meal is $16.25

Answer:

The cost difference per mile between the two companies is $0.12.

Step-by-step explanation:

Gabi formulates the equation to determine after how many miles, denoted as m, the charges of both companies will be equal.

The first company levies for m miles traveled.

The second company's charge for the same m miles is .

In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.

The values 0.22 and 0.1 represent the respective costs per mile.

As such, the disparity in per-mile charges amounts to .

An alternative method to tackle this problem is by calculating the per-mile rate for each company:

1. Cost per mile for the first company

2. Cost per mile for the second company

3. The difference:

Answer:

Step-by-step explanation:

The equation provided is:

d = 5x + 10xf

We need to isolate x from this equation.

Factoring out x from the right side gives us,

d=x(5+10f)

To find x, divide both sides by (5+10f),

Thus, this represents the sought value for x.

Answer:

15.7 inches

Step-by-step breakdown:

A slice of a round pie is a sector of a circle.

The perimeter of a slice equals the arc length s plus two times the radius r. P = s + 2r

s = rθ = r(16/360) = r/22.5. Therefore,

16 = (r/22.5) + 2r = (r + 45r)/22.5 = 46r/22.5

16 × 22.5 = 46r

360 = 46r

r = 7.826

D = 2r = 2 × 7.826 = 15.7 inches

Thus, the diameter of the cake should be 15.7 inches.

Verification:

It is accurate.