Ben made a circular cake with a radius of 6 ½ inches. He put the cake in the center of a circular plate. Around the cake, there
2 answers:
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The value of the car after 5 years would be $23914.85
<u>Explanation:</u>
Given:
Worth of the new car = $50,000
Every 5 years the value depreciates by 1/2
i.e., every 5 years the value depreciates by 50%
So, we can say that every year the value depreciates by 10%
The worth of the car after 7 years would be
where,
W is the depreciated value
C is the current value
D is the depreciation rate
t is the time
Substituting the value in the equation we get:
Therefore, the value of the car after 5 years would be $23914.85
Answer:
- 2 seconds
- 72 feet
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
__
For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
