You are buying a used car which costs $12,000. you plan to sell the car after keeping it for 5 years. research shows that this car will lose value at a rate of 8% per year. how much will tbe car be worth after 5 years?

The car would be worth $7909 after 5 years.

Since the car will lose value at a rate of 8% per year this is an exponential decay. An exponential decay is in the form:

y = abˣ;

where y, x are variables, a is the initial value of y and b < 1

Let y represent the worth of the car after x years.

Since the car cost $12000, hence a = 12000, also the car will lose value at a rate of 8% per year. hence:

b = 100% - 8% = 0.92

Therefore:

y = 12000(0.92)ˣ

After 5 years:

y = 12000(0.92)⁵ = $7909

Therefore the car would be worth $7909 after 5 years.

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∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°