A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 84 feet?

3.81 s

Step-by-step explanation:

Let's consider the following formula that represents the journey of a falling object.

d = 3 t + 5 t²

where,

We can find the time that it will take to travel 84 feet by replacing d = 84 in the equation.

84 = 3 t + 5 t²

5 t² + 3 t - 84 = 0

We have a = 5, b = 3 and c = -84. We apply the second grade solving formula.

x₁ = 3.81 and x₂ = -4.41

Since the time cannot be negative, the answer is t = 3.81 s

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300