Answer:
Step-by-step explanation:
<u>1. Solving for h:</u>
- V = πr²h
- πr²h = V
- πr²h/πr² = V/πr²
- h = V/πr²
<u>2. Finding the height of given cylinder, using formula above:</u>
- V = 90π, r = 3 inches, h = ?
- h = V/πr²
- h = 90π/π3²
- h = 10 inches
After 7 years the laptop computer will be worth $200 or less.
In this question, we have been given a laptop computer is purchased for $1500 . Each year, its value is 75% of its value the year before.
We need to find the number of years when laptop computer be worth $200 or less.
We can see that given situation represents exponential decay function with initial value 1500, decay rate = 0.75 and the final value = 200
We need to find period t.
For given situation we get an exponential function as,
1500 * (0.75)^t ≤ 200
(0.75)^t ≤ 2/15
t * ln(0.75) ≤ ln(2/15)
t * (-0.2877) ≤ -2.0149
t ≥ (-2.0149)/(-0.2877)
t ≥ 7
Therefore, the laptop computer will be worth $200 or less after 7 years.
Learn more about exponential function here:
brainly.com/question/14355665
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Answer: (A) y=-2x
Step-by-step explanation:
Lets plug in the point (2,-4) for each equation.
-4=-2(2) this is correct
-4=2*2
-4=4 This cannot be true
-4=-2+3 =-4=1 This is false
Lastly, -4=2-4 this is false because -4 can't equal to -2.
So, A is the answer
Answer: you don't multiply the letters, the letter means any number
EX: if there was an equasion like f x 43 276 the f would be 6 because 6x 43 =276 or 5 x 65 = x
Step-by-step explanation:
First, find the area of the shelf if it were a full circle.
the formula for the area of a circle is a=pi(r squared)
a=pi (10.5 squared)
a=pi x 110.25
a=3.14 x 110.25
a=346.185
now, you have to divide that area by 4 to get the area of the 1/4 circle
346.185/4=86.55