Answer:
x = 52
Step-by-step explanation:
(X/4) + 3=16 (subtract 3 from both sides)
x/4 = 16 - 3
x/4 = 13 (multiply both sides by 4)
x = 13 (4) = 52
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
Solving (a): The decay factor
An exponential function has the form
Where b is:
By comparison:
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
Substitute 0.85 for b
Convert to percentage
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in:
Answer:
2x
Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
If V = 4πx³ and h = x, then:
4πx³ = πr²x
4x² = r²
r = 2x
Rewrite all 4 numbers as decimals to compare them:
88/25 = 3.52
3 11/20 = 3.55
Now arrange them in the correct order:
88/25, 3 11/20, 3.551, 3.88
Answer:
x ≥ -11/2
Step-by-step explanation:
Step 1: Write inequality
1/2(8x - 2) - 2/3(9x + 3) ≤ 8
Step 2: Solve for <em>x</em>
- Distribute: 4x - 1 - 6x - 2 ≤ 8
- Combine like terms: -2x - 3 ≤ 8
- Add 3 to both sides: -2x ≤ 11
- Divide both sides by -2: x ≥ -11/2