A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of

Response:

The width of the arch measures 105 meters

Detailed explanation:

The function that describes the width of the arch is

f(x) = -0.016(x - 52.5)² + 45

where x denotes the horizontal distance from the left end of the arch or the width at its base

f(x) indicates the vertical height of the arch

According to the given quadratic equation, the vertex coordinates of the parabola are (52.5, 45).

The vertex coordinates indicate that

the arch's height is 45 meters

and half the horizontal span from the left end is 52.5 meters

Therefore, the bridge's total width is calculated as 2 times the half span from the left side, which is 2 × 52.5

resulting in 105 meters

Consequently, the bridge's width is 105 meters.

Answer:

First, it's essential to define the equation that characterizes the function.

The investment is $200 with an interest rate of 5%, where y represents the money after x periods.

After one period, the amount of money grows to 200 plus 5% interest, resulting in 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After two periods, the total is 200(1.05)*(1.05) = 200 (1.05)^2

After three periods, it will be 200 (1.05)^3

Consequently, it can be inferred that after x periods, y = 200 (1.05)^x

Next, this function can be analyzed to project the graph's shape and significant points.

The answers derive from the initial value and the growth factor.

The initial value occurs when x = 0, giving y = 200 (1.05)^0 = 200*1 = 200

The growth factor is 1.05, indicating each subsequent value is multiplied by 1.05.

Step-by-step explanation:

The slope equals $0.10        (since $1.00 per 10 tokens translates to $0.10 per token)

The y-intercept is $60    (the fixed yearly membership fee)

The linear equation is y = 0.10x + 60    (following y = mx + b)  

The domain consists of all x values where x ≥ 0        (negative token quantities are impossible)

The range includes all y values with y ≥ 60        (plugging the domain values into the function)

The y-intercept of this function stands at $60

Answer: 5

Explanation step-by-step: There are six boxes stacked between the top of the third box and the bottom of the tenth box.

Since each box measures 10 inches in height, the combined height of these six boxes is 60 inches.

Given that 12 inches equals 1 foot,

60 inches corresponds to 5 feet.

How to find the answer:

Let "y" represent the unknown length in feet.

12 inches = 1 foot

60 inches = y

Using cross multiplication:

> 12 × y = 60 × 1

> 12y = 60

Divide both sides by 12 to solve for "y":

> 12y ÷ 12 = 60 ÷ 12

After simplification, we get:

> y = 5