Respuesta :

Answer:

$11,219

Step-by-step explanation:

[tex]P(1-r)^t[/tex] is the formula that should be used

P = initial amount

r = rate as decimal

t= time

So we fill in everything we know and then solve

[tex]19,000(1-0.1)^5[/tex]

[tex]19,000(0.9)^5[/tex]

[tex]19,000(0.59049)\\[/tex]

[tex]11219[/tex]

I hope this helps please let me know if you have any further questions

Answer:

To find the car's worth each year after depreciation, you can use the formula for exponential decay:

Car Worth = Initial Value × (1−Rate of Depreciation) Number of Years

In this case, Chunk's car is worth $19,000 initially, and it depreciates at a rate of 10% per year, which is equivalent to a decay factor of 0.90 (1 - 0.10). Chunk is interested in the car's worth for 5 years, so the formula becomes:

Car Worth = 19000 × (0.90)⁵

Now, you can calculate this value:

Car Worth≈ 19000 × 0.59049

Car Worth ≈ 11219.41

Rounding to the nearest dollar, Chunk's car will be worth approximately $11,219 after 5 years of depreciation.

Step-by-step explanation: