Answer:
Given
f(x)=18,000(.88)^x
We need to find the value of x when f(x) <2000
2000 = 18000(0.88)^x
0.88^x 2000/18000
0.88^x 1/9
• x = log (1/9) / log (0.88)
• x= 17 (rounded down)
After 17 years or during year 18 the car value will drop below $2000
Answer: 4^-2
Step-by-step explanation:
the Bases stays the same the powers changes to negative -2 because you are stubtracting 6-8 which gives you negative -2.
Answer:
27.22 m
Step-by-step explanation:
<u>The scale factor is:</u>
<u>Height of the model according to scale factor:</u>
9514 1404 393
Answer:
- 320 m after 8 seconds
- 5.6 seconds, 10.4 seconds to height of 290 m
Step-by-step explanation:
To find the height at 8 seconds, evaluate the formula for t=8.
S(t) = -5t^2 +80t
S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height of the rocket is 320 meters 8 seconds after takeoff.
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To find the time to 290 meters height, solve ...
S(t) = 290
290 = -5t^2 +80t
-58 = t^2 -16t . . . . . . . divide by -5
6 = t^2 -16t +64 . . . . . complete the square by adding 64
±√6 = t -8 . . . . . . . . . take the square root
t = 8 ±√6 ≈ {5.551, 10.449}
The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.