Select Multiple Answers The value of the couch decreases A quickly at first,, and then more slowly as time passes. B will be about 1305 After 5 years, the value of the couch C 29% after 5 years. The value of the couch increases by If someone buys the couch for 4500 D and sells it 3 years later, they can expect to get about 470 E over 5 years. The value of the couch depreciates Select Answers...

## Step 1: Calculate the value after 5 years<br />### The couch depreciates by 35% per year. After 5 years, the value is $4500 \times (1 - 0.35)^5 = 4500 \times (0.65)^5 \approx 4500 \times 0.116 \approx 522$.<br /><br />## Step 2: Calculate the value after 3 years<br />### After 3 years, the value is $4500 \times (1 - 0.35)^3 = 4500 \times (0.65)^3 \approx 4500 \times 0.2746 \approx 1235.7 \approx 1236$.<br /><br />## Step 3: Analyze the depreciation pattern<br />### The depreciation is exponential, meaning the value decreases faster initially and then slows down.<br /><br />## Step 4: Calculate the percentage decrease after 5 years<br />### The percentage decrease after 5 years is $\frac{4500 - 522}{4500} \times 100\% \approx \frac{3978}{4500} \times 100\% \approx 0.884 \times 100\% \approx 88.4\%$.