Don bought his car for $20,350. it is expected to depreciate an average of 11% each year during the first 5 years.

what will the approximate value of his car be in 5 years

$11364

Step-by-step explanation:

The exponential equation for depreciation is given by :-

, where P is the initial amount, r is the rate of deprivation in x years.

Given: The cost price of car = $20,350

The rate of depreciation =11%=0.11

To calculate the approximate value of his car be in 5 years, substitute x=5 in the above equation, we get

Hence, the  approximate value of his car be in 5 years is $11364.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15