Covert into scientific notation?
Answer:
Problem 23) ![y=3x+6](https://tex.z-dn.net/?f=y%3D3x%2B6)
Problem 24) ![y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
we have
![A(0,2)\ B(3,1)](https://tex.z-dn.net/?f=A%280%2C2%29%5C%20B%283%2C1%29)
Substitute the values
![m=\frac{1-2}{3-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1-2%7D%7B3-0%7D)
![m=-\frac{1}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B3%7D)
step 2
Problem 23
we know that
If two lines are perpendicular then the product of its slopes is equal to minus 1
so
![m1*m2=-1](https://tex.z-dn.net/?f=m1%2Am2%3D-1)
Find the slope of the line
we have
![m1=-\frac{1}{3}](https://tex.z-dn.net/?f=m1%3D-%5Cfrac%7B1%7D%7B3%7D)
substitute in the equation and solve for m2
![(-\frac{1}{3})*m2=-1](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B3%7D%29%2Am2%3D-1)
![m2=3](https://tex.z-dn.net/?f=m2%3D3)
with the slope m2 and the point
find the equation of the line
Remember that
The equation of the line in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
we have
![m=3](https://tex.z-dn.net/?f=m%3D3)
-----> the given point is the y-intercept
substitute
![y=3x+6](https://tex.z-dn.net/?f=y%3D3x%2B6)
step 3
Problem 24
we know that
If two lines are parallel, then its slopes are the same
so
with the slope m1 and the point
find the equation of the line
The equation of the line in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
we have
![m=-\frac{1}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B3%7D)
-----> the given point is the y-intercept
substitute
![y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
Answer:
£210
Step-by-step explanation:
Given that :
Visa cost = £2300
7% charge of visa price = (0.07 * £2300) = £161
Total cost = £(161 + 2300) = £2461
Amount to be saved per month = £2461 / 12 = £205.08333
= £210 (nearest £10)
He had put in $300 and got out $336 at the end of the year.
This means an increase of $36 over a year.
10% of $300 = $30 dollars
This shows that he definitely got more than a 10% increase.
Alan got $6 more than $30 so to find 6 from 30, you divide by 5
so ( 10% = $30 ) divided by 5 = ( 2% = $6 )
Adding the amount of money and percentages gives you 12% = $36
So the amount of mpercentage increase is 12%
Overall the amount of money in his bank now compared to when he deposited it, he has 112% in the bank.
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