Answer:
The second option will cost her less than the first one.
Step-by-step explanation:
In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.
For the first option we have:
For the second option we have:
Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:
The second option will cost her less than the first one.
It would be .01 or .0y in your case
Answer: 2(0) + 8 does not equal 12, not a solution.
2(2) +8 = 12 yes it is a solution
2(-3) + 8 does not equal 12, not a solution
2(5) + 8 does not equal 12, not a solution.
Step-by-step explanation:
Looks like you need to plug in each y value given and multiplied by 2 and add 8
2(0) + 8 does not equal 12, not a solution.
2(2) +8 = 12 yes it is a solution
2(-3) + 8 does not equal 12, not a solution
2(5) + 8 does not equal 12, not a solution.
How long must $542 be invested at a rate of 7 percent to earn a 303.52 interest
Answer:
- t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Explanation:
<u>1) Explanation of the model:</u>
- Given: h(t) = -16t² + 48t
- This is a quadratic function, so the height is modeled by a patabola.
- This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.
<u>2) Axis of symmetry:</u>
- The axis of symmetry of a parabola is the vertical line that passes through the vertex.
- In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)
- In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5
<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.
Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
