The future worth (F) of the current investment (P) given that the interest (i) is compounded can be calculated by the formula,
F = P x (1 + i)^n
where n is the number of years. Substituting the given values to solve for P,
1000 = P x (1 + 0.115)^6
The value of P is approximately $520.42.

4 0

3 years ago

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the

lakkis [162]

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Answer:

maximum height of 17.07 feet about 10.67 feet from the club

returns to the ground 21.33 feet away

Step-by-step explanation:

A graphing calculator can answer these questions easily.

The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function, the highest point is found at ...

x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club

The maximum height is the function value at that point.

h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15

The ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.

5 0

3 years ago