Find the cost of this trip: find the airfare for flying round trip from denver to detroit if a one-way ticket is $235.00, there is no discount, and the sales tax is 5% of the total cost.

493.50

Step-by-step explanation:

One Way Cost = $235.00

Both ways = 2 * 235 = 470

Now is the time to add the tax. You only pay a tax when goods or services have been exchanged. So the return ticket and the one way are when you pay.

Sales Tax = 470 * 5/100 = 23.50

The total ticket cost = cost + sales tax = 470 + 23.50 = 493.50  

You can do this in one step

Recognize that the total amount is 105% or 1.05 * Cost of the ticket.

1.05 * 470 = 493.50 just as it was before. Doing it the long way might be easier to understand but eventually you should  shorten the process.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

30005

yes ok