MATH SOLVE

5 months ago

Q:
# You buy a car for $40,000. In your research you find out the car will be worth $0 after 12 years. Find the depreciation. What does this number tell you?

Accepted Solution

A:

Answer:3333This value of depreciation every year will get the car value to [tex]\$ 0 \ \textrm after\ 12 years[/tex].Step-by-step explanation:Given: Purchase value of car(b) = [tex]\$ 40000[/tex] Time(x) = 12[tex]\textrm years[/tex] Residual value(y) = [tex]\$ 0[/tex] Depreciation value= mWe will use straight line depreciation method with negative slope to find depreciation value.Y= -mx + b⇒ 0 = [tex]-m \times 12 + 40000[/tex]We will subtract both side by 40000⇒ -40000 = [tex]-12m[/tex]Now, divide both side by -12⇒ m = [tex]\frac{-40000}{-12} = 3333.33[/tex] ≅ 3333∴ Depreciation value for every year will be [tex]\$ 3333[/tex] This value of depreciation every year will get the car value to [tex]\$ 0 \ \textrm after\ 12 years[/tex].