A car with an initial cost of $23,000 is decreasing in value at a rate of 8% each year. Write the exponential decay function des

.... pertains to the first choice

Answer: The guitar's value over time is described by the 0.95 metric, indicating a 5% annual depreciation.

Step-by-step explanation:

To address this inquiry, we use an exponential decay formula:

A = P (1 - r) t

Where:

P = initial price

r = the reduction rate (expressed as a decimal)

t = time in years

A = price after t years

Substituting the known values:

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 = -r

0.05 = r

Converted to percentage:

0.05 x 100 = 5%

Please reach out if further clarification is needed or if something was unclear.

Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2: 2(4x + 7) + 4x = 2, which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms: 12x = 2 - 14, yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals: y + 4 = 7, which gives y = 3. Thus, the solution arrives at (-1, 3).

Solution:

x=8

Detailed explanation:

This isosceles triangle consists of two right triangles with sides equal to 8,, and y

Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y

Hence, x=2(4)=8

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.