You can convert everything in minutes once you've solved it you turn it back to hours and minutes....5hrs and 8min= 308min....3hrs 12min=192min....308-192=116.....116 is 1hr and 56min
Answer:
8.31 weeks
Step-by-step explanation:
Given that the cost of one share of Apple stock, C=$120
Rate is the increment of the stock value, R= 5%/week=0.05 / week.
Assuming that after t week, the stock has been sold for $180.
Since the stock value increased at 5% every week, so, the interest is compounded weekly, so
![S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\ \Rightarrow 180 = 120\left(1.05 )^t \\\\](https://tex.z-dn.net/?f=S%3DC%5Cleft%281%2BR%5Cright%29%5Et%20%5C%5C%5C%5C%20%5CRightarrow%20180%20%3D%20120%5Cleft%281%2B0.05%5Cright%29%5Et%20%5C%5C%5C%5C%20%20%5CRightarrow%20180%20%3D%20120%5Cleft%281.05%20%29%5Et%20%5C%5C%5C%5C)
![\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B180%7D%7B120%7D%3D1.05%5Et%20%5C%5C%5C%5C%5CRightarrow%201.5%3D1.05%5Et)
[taking log both sides]
weeks
Hence, after 8.31 weeks the stock has been sold for $180.
Tina should make 31 inch tall model to replicate 155 feet tall monument.
Step-by-step explanation:
This problem can be solved by direct unitary methods easily-
Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model
Scale= original dimension/ model dimension
Model is the miniaturised representation of a substance.
The monument is 155 feet tall
Tina replicates it with a scale 1inch: 5 feet
Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.
Hence Tina needs to make 31-inch tall model.
Answer:
c) 6x - 5y = 15
Step-by-step explanation:
Slope-intercept form of a linear equation: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
(where m is the slope and b is the y-intercept)
Maria's line: ![y=-\dfrac{5}{6}x+8](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B5%7D%7B6%7Dx%2B8)
Therefore, the slope of Maria's line is ![-\frac{5}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B6%7D)
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope of Nate's line (m) is:
![\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20m%20%5Ctimes%20-%5Cdfrac%7B5%7D%7B6%7D%20%26%3D-1%5C%5Cm%20%26%20%3D%5Cdfrac%7B6%7D%7B5%7D%5Cend%7Baligned%7D)
Therefore, the linear equation of Nate's line is:
![y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B6%7D%7B5%7Dx%2Bb%5Cquad%5Ctextsf%7B%28where%20b%20is%20some%20constant%29%7D)
Rearranging this to standard form:
![\implies y=\dfrac{6}{5}x+b](https://tex.z-dn.net/?f=%5Cimplies%20y%3D%5Cdfrac%7B6%7D%7B5%7Dx%2Bb)
![\implies 5y=6x+5b](https://tex.z-dn.net/?f=%5Cimplies%205y%3D6x%2B5b)
![\implies 6x-5y=-5b](https://tex.z-dn.net/?f=%5Cimplies%206x-5y%3D-5b)
Therefore, <u>option c</u> could be an equation for Nate's line.
Answer:B. Between 62% and 78% of all orders arrive on time. State whether the conclusion is correct or not and explain why. Choose the correct answer below.
Step-by-step explanation: