Question

I need help please!
Suppose a computer that costs $3000 new is only worth $600 after 3 years .What is the average annual rate of depreciation?

Answer 1

600 = 3000(1 - r)^3

Answer 2

600/3000 = (1-r)^3

cbrt(6/30) = 1-r

r = 1 - cbrt(5)

Answer 3

......

r = 1 - cbrt(1/5) might be better ;)

Answer 4

what is answer?

Answer 5

cbrt?

Answer 6

cbrt(....) means cube root

Answer 7

than What is the average annual rate of depreciation?

Answer 8

it depreciates by 41.5 % each year

Answer 9

\[1-\sqrt[3]{\frac{1}{5}} ?\]

Answer 10

well that dint format right

Answer 11

\[rate=1-\sqrt[3]{1\over5}=abt. \ 41.5\%\]

Answer 12

Ok, thank

Answer 13

Considering composed taxes:
\[600=3000*(1-i)^3\]
\[\log(6/30)=3*\log(1-i)\]
\[10^{\frac{\log(6/30)}{3}}={1-i}\]
\[1-10^\frac{\log(6/30)}{3}=i\]
\[i \approx 0,4152 \approx 41,52\% \]

Answer 14

ty

Answer 15

thank LuisGuihermepegas I like the way you write