Find the depreciation in the first partial year and the next full year for the following. Salvage Cost Value $3120 None Life Depreciation Method Date Acquired 5 years Sum of years' digits July 12 The depreciation in the first partial year is $ (Round to the nearest dollar as needed.) The depreciation in the next full year is $ (Round to the nearest dollar as needed.)
Added by Randy K.
Close
Step 1
Step 1: Compute the depreciable base = Cost − Salvage = $3,120 − $0 = $3,120. Show more…
Show all steps
Your feedback will help us improve your experience
Benjamin Densmore and 81 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Depreciation methods are sometimes used by businesses and individuals to estimate the value of an asset over a life span of $n$ years. In the sum-of-year's-digits method, for each year $k=1,2,3, \ldots, n,$ the value of an asset is decreased by the fraction $A_{k}=\frac{n-k+1}{T_{n}}$ of its initial cost, where $T_{n}=1+2+3+\cdots+n$. (a) If $n=8,$ find $A_{1}, A_{2}, A_{3}, \dots, A_{3}$ (b) Show that the sequence in (a) is arithmetic, and find $S_{\mathrm{g}}$. (c)If the initial value of an asset is $\$ 1000,$ how much has been depreciated after 4 years?
Sequences, Series, and Probability
Arithmetic Sequences
Depreciation methods are sometimes used by businesses and individuals to estimate the value of an asset over a life span of $n$ years. In the sum-of-year's-digits method, for each year $k=1,2,3, \ldots, n,$ the value of an asset is decreased by the fraction $A_{k}=\frac{n-k+1}{T_{n}}$ of its initial cost, where $T_{n}=1+2+3+\cdots+n$. (a) If $n=8,$ find $A_{1}, A_{2}, A_{3}, \ldots, A_{8}$ (b) Show that the sequence in (a) is arithmetic, and find $S_{8}$ (c) If the initial value of an asset is $\$ 1000,$ how much has been depreciated after 4 years?
The yearly depreciation rate for a certain vehicle is modeled by $r=1-\left(\frac{V}{C}\right)^{1 / n}$, where $V$ is the value of the car after $n$ years, and $C$ is the original cost. a. Determine the depreciation rate for a car that originally cost $\$ 18,000$ and is worth $\$ 12,000$ after 3 yr. Round to the nearest tenth of a percent. b. Determine the original cost of a truck that has a yearly depreciation rate of $15 \%$ and is worth $\$ 11,000$ after 5 yr. Round to the nearest $\$ 100$.
Equations and Inequalities
More Equations and Applications
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD