Ahome has an original value of $249,000.each year, the value of the home decreases by 7.1 what equation models the solution after t years?

The value of home after t years is $249,000

Step-by-step explanation:

Given as :

The original value of home = p = $249,000

The value of home depreciate every year at rate = r = 7.1%

Let The value of home after t years = A

Now, According to question

The value of home after t years = original value of home ×

Or, A = p ×

Or, A = $249,000 ×

Or, A = $249,000 ×

So,The value of home after t years = A = $249,000

Hence,The value of home after t years is $249,000 . Answer

- "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."

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: