The height in meters, of a model rocket above the ground is modeled by the function f (t) = -3t^2 + 12t, where t is time in seconds. What is the maximum height the rocket reaches

12 meters.

Step-by-step explanation:

Given the height function of the rocket:

The function is a parabola which opens up and the maximum height is reached at the axis of symmetry.

Step 1: Determine the equation of symmetry

For any quadratic equation of the form , the equation of symmetry is: .

In the given function: a=-3, b=12

Equation of symmetry :

.

Step 2: Substitute t=2 into f(t) to solve for the maximum height

The maximum height reached by the rocket is 12 meters.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

the answer is ! ?