Graph the line that represents a proportional relationship between Y And x where the unit rate of change of y with their respect

Response:

354

Detailed explanation:

Response:

To accumulate $7,500 in three years, the required one-time deposit is $4388.17

Step-by-step explanation:

Basic Financial Formulas

A commonly used formula for calculating present and future values is

Where FV represents the future value, PV denotes the present value, r signifies the interest rate, and n indicates the number of compounding periods. It’s essential to remember that r and n must correspond to the same compounding duration, e.g. r is compounded monthly while n is expressed in months.

The inquiry seeks to determine the PV necessary as a one-time deposit to achieve a future value of $7,500 in 3 years at an interest rate of 1.5% compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We have changed n to months since r is monthly compounded. The equation

must be arranged to isolate PV.

Response

For this scenario, we can visualize that all points form a triangle. The three vertices are at the pitcher's mound, home plate, and the location where the outfielder catches the ball. We know two sides of the triangle and the angle that lies between these two sides.

<span>Using the cosine law, we can find the unknown third side. The formula to apply is:</span>

c^2 = a^2 + b^2 - 2ab cos θ

Where:

a = 60.5 ft

b = 195 ft

θ = 32°

Substituting the provided values results in:

c^2 = (60.5)^2 + (195)^2 - 2(60.5)(195) cos(32)

c^2 = 3660.25 + 38025 - 20009.7

c^2 = 21,675.56

c = 147.23 ft

<span>Thus, the distance the outfielder throws the ball towards home plate is approximately 147.23 ft.</span>