Complete the chart
Item
Car
Boat
Skates
Annual rate of
decrease
20%
15%
?
Value now
$9800
$2200
$100
Value in t years
?
?
100(0.75)

Complete the chart Item Car Boat Skates Annual rate of decrease 20 15 Value now 9800 2200 100 Value in t years 100075 class=

Respuesta :

Answer:

  • 9800(0.80)^t
  • 2200(0.85)^t
  • 25%

Step-by-step explanation:

You want the missing formulas and rate in the chart showing rate of decrease, value now, and value in t years for different items.

Rate of decrease

If r is the rate of decrease, the relationship between table values is ...

  value in t years = (value now)(1 -r)^t

Application

Car: value now is 9800, and r = 0.20, so ...

  value in t years = 9800(0.80)^t

Boat: value now is 2200, and r = 0.15, so ...

  value in t years = 2200(0.85)^t

Skates: multiplier is (1 -r) = 0.75, so ...

  rate of decrease = 1 -0.75 = 25%