1. A new sports car sells for $35,000. The value of the sports car decrease by 18% annually. Find the
value of the car after 4 years.

The value if the sports car after four years is $15,824.26

Step-by-step explanation: The initial value of the sports car is $35,000 and the depreciation rate is 18% every year. What this means is that the sports car would depreciate by 18% this year and the following year it would lose another 18% of the value after year 1, and so on till the end of year 4. Therefore the depreciation would be calculated as follows;

Year 1 value = 35000

Depreciation = 35000 x 0.18

Depreciation = 6300

End of year 1 value = 35000 - 6300

End of year 1 value = 28700

Year 2 value = 28700

Depreciation = 28700 x 0.18

Depreciation = 5166

End of year 2 value = 28700 - 5166

End of year 2 value = 23534

Year 3 value = 23534

Depreciation = 23534 x 0.18

Depreciation = 4236.12

End of year 3 value = 23534 - 4236.12

End of year 3 value = 19297.88

Year 4 value = 19297.88

Depreciation = 19297.88 x 0.18

Depreciation = 3473.62

End of year 4 value = 19297.88 - 3473.62

End of year 4 value = 15824.26

Therefore, the sports car at the end of 4 years would be valued at $15,824.26

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq