Answers: After 7 years the car is worth $10,196(,46)
Explanation: Year 1: $24,950•0,88=21,956 Year 2: $21,956•0,88=19,321(,28) Year 3: $19,321(,28) •0,88=17,002(,73) Year 4: $17,002(,73) •0,88=14,962(,40) Year 5: $14,962(,40) •0,88=13,166(,91) Year 6: $13,166(,91) •0,88=11,586(,88) Year 7: $11,586(,88) •0,88=10,196(,46)
Please refer to my attachments for visual guidelines. We are going to solve your problem by using the pythagorean theorem, a^2+b^2 = c^2, where a and b are the legs of the triangle, and c is the hypotenuse (the longest side).
The length of the ladder is equal to 70ft (hypotenuse); one leg is the distance between the wall and the bottom of the ladder - 40 ft, the other leg is unknown for it is the distance between 10 ft above the ground and the top of the ladder-represented by "x". Using pythagorean theorem, a^2+b^=c^2, we have x^2+40^2 = 70^2. Solving the exponents, we have x^2 + 1600 = 4900.
Isolating the variable x, we have x^2 = 4900-1600. Futher simplying, x^2 = 3300. Thus, x = √3300 or 57.4456264654 ft.
Adding 10 ft to x, therefore, the top of the leadder is 67.4456264654 ft off the ground.