Anew car is purchased for 17900 dollars. the value of the car depreciates at 13% per year. what will the value of the car be, to the nearest cent, after 7 years?

$6752.86

Step-by-step explanation:

Given that the value of a car that costs $17900 depreciates at 13% per year, the value of the car in 7 years time will be:

The formula we will use is

V(t) = P(1 - r)^t

where P = 17900 r = 13% = 0.13 and t = 7

V(t) = 17,900 * (1 -0.13)^7

V(t) = $6752.86

you should at least use a calculater

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1