Answer: Graph A
Step-by-step explanation: The line drops, crosses over the y axis, then stays at that constant level
It will take 4 years for these trees to be the same height
Step-by-step explanation:
A gardener is planting two types of trees:
Type A is 6 feet tall and grows at a rate of 12 inches per year
Type B is 2 feet tall and grows at a rate of 24 inches per year
We need to find exactly how many years it will take for these trees to be the same height
Assume that it will take x years for these trees to be the same height
Type A:
∵ The initial height of the tree is 6 feet
∵ 1 foot = 12 inches
∴ 6 feet = 6 × 12 = 72 inches
∴ The initial height of the tree is 72 inches
∵ It grows at a rate of 12 inches per year
∵ The number of years is x
∴ The height of the tree in x years = 72 + 12 x
Type B:
∵ The initial height of the tree is 2 feet
∴ 2 feet = 2 × 12 = 24 inches
∴ The initial height of the tree is 24 inches
∵ It grows at a rate of 24 inches per year
∵ The number of years is x
∴ The height of the tree in x years = 24 + 24 x
Equate The heights of the two types
∴ 72 + 12 x = 24 + 24 x
- Subtract 2 from both sides
∴ 48 + 12 x = 24 x
- Subtract 12 x from both sides
∴ 48 = 12 x
- Divide both sides by 12
∴ x = 4
It will take 4 years for these trees to be the same height
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
#LearnwithBrainly
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}
Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70}
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median.
The value in the 8th slot is 54, so this is the median
Divide the sorted data set into two lists. I'll call them L and U
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).
Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value.
Therefore, Q3 = 62
Answer: 62</span>
The value would be 28,000*(1-0.0725)*(1-0.0725)*(1-0.0725)*(1-0.0725)*(1-0.0725)
which is 28,000*0,9275
which equals 28,000*0.6863=$19,219
