Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.
475 * 0.02 = 9.50
Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.
The answer would be 4 years.
Hope this helps.
Step-by-step explanation:
1. 3x+x-2x+8=3x+x
x-2x+8=x
x+8=x+2x
8=2x
8÷2=4
x=4
2. 2(2x+4)-2x=x+18
8+4x-2x=x+18
8+2x=x+18
2x=x+10
x=10
3. 2(x+3)+3x
2(5+3)+15
16+15
31
4. 3(2x)-3x+4=2x+5
6x-3x+4=2x+5
3x+4=2x+5
3x-2x+4=5
x=1
5. 3x+2x+x=x+6
6x=x+6
5x=6
x=6/5
6. 2(x+4)+x=16
2x+8+x=16
3x+8=16
3x=8
x=8/3
Hope I calculated it right you can check it in calculator
Answer:
C. (4,0)
Step-by-step explanation:
Given a graph of the system of equations
3x+4y=12; and
2x-y=8.
- Line 1 passes through (0, 3) and (4, 0).
- Line 2 passes through (2, -4) and (4, 0).
We can see that both lines pass through (4,0). Therefore, (4,0) is a point of intersection of the two lines.
It is therefore a solution to the system of equations.
Answer:
108 cubes
Step-by-step explanation:
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 . How many 1/3 unit cubes does it take to fill the prism?
Step 1
We find the volume of the cubes
Side length = 1/3 units
Volume of a cube = Side length ³
Hence,
(1/3 units)³ = 1/27 cubic units
Step 2
A rectangular prism with a volume of 4 cubic units.
The number of 1/3 unit cubes that would fill this rectangular mrism is calculated as:
4 cubic units ÷ 1/27 cubic units
= 4 ÷ 1/27
= 4 × 27/1
= 108 cubes
f(x) = (3/4)ˣ - 4
As x gets really negative (3/4)ˣ grows positively without bound (because it's (4/3)⁻ˣ and 4/3 > 1).
As x gets really positive (3/4)ˣ tends to zero but never quite gets there.
So (3/4)ˣ > 0 for all x
So f(x) > 0 - 4 for all x
Answer: { y | y > -4 }, first choice
