If I’m correct, I think A. 0.3x2 is the correct answer.
Answer:
Step-by-step explanation:
- Initial value = $500000
- Depreciation rate = 5.41% each year
- Target value = 1/2*$500000 = $250000
- Number of years = x
Depreciation can be expressed as function:
- d(x) = 500000*((100 - 5.41)/100)^x
- d(x) = 500000*0.9459^x
Having the final value of $250000, we can find x:
- 250000 = 500000*0.9459^x
- 0.5 = 0.9459^x
- log 0.5 = x log 0.9459
- x = log 0.5 / log 0.9459
- x = 12.46 ≈ 13 years rounded
Did you learn substitution ??
M= y2-y1/x2-x1
3-0/6-12= 3/-6= -1/2
(Slope) m=-1/2
Answer:
Volume = 175 cm³
Step-by-step explanation:
We can picture this image as a whole rectangular prism, with a part that has been cut out of it.
Step 1: Volume of original prism
We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5
Step 2: Volume of part cut out
We are solving the volume of that part that has been cut out ( missing space)
- V = 5 * (9-2) * (7-3)
- V = 5 * 7 * 4
- V = 140
Step 3: Total Volume
Now we just subtract the cutout part from the original volume
Volume = 175 cm³
Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:
- V = (9 * 3 * 5) + (4 * 5 * 2)
- V = 135 + 40
- V = 175
-Chetan K