An easy way to answer this problem is to find the mid-point between the two given points, namely ( (4-2)/2, (1-11)/2 )=(1,-5).
Another way is to find a line through the two points, and select any point on the line.
Slope = (1-(-11))/(4-(-2))=12/6=2
Then use the point slope form to find the line:
y-1=2(x-4) which can be simplified to
y=2x-7
Put x=0, y=-7 => (0,-7)
Put x=1, y=-5 => (1, -5) [ as above ]
Put x=2, y=-3 => (2, -3)
....
The amount that was invested 17 years ago is $2064.25.
The interest earned is $7935.75.
<h3>What is the amount invested 17 years ago?</h3>
The formula that would used to determine the amount that was invested 17 years ago is:
P = FV / (1 + r)^nm
Where:
- FV = Future value = 10,000
- P = Present value
- R = interest rate = 9.5 / 2 = 4.75%
- m = number of compounding = 2
- N = number of years = 17
10,000 / (1.0475)^(17 x 2) = $2064.25
Interest earned = 10,000 - 2064.25 = $7935.75
To learn more about future value, please check: brainly.com/question/18760477
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Answer:
Cost of 1 packet of biscuit=Rs 9
Cost of 1 packet of toffee=Rs 13
Step-by-step explanation:
Let
Cost of 1 packet of biscuit=x
Cost of 1 packet of toffee=y
We have to find the cost of 1 packet of biscuit and 1 packet of toffee.
According to question
![3x=14+y](https://tex.z-dn.net/?f=3x%3D14%2By)
![y=3x-14](https://tex.z-dn.net/?f=y%3D3x-14)
Now,
![x+y=22](https://tex.z-dn.net/?f=x%2By%3D22)
Using the value of y then, we get
![x+3x-14=22](https://tex.z-dn.net/?f=x%2B3x-14%3D22)
![4x=22+14](https://tex.z-dn.net/?f=4x%3D22%2B14)
![4x=36](https://tex.z-dn.net/?f=4x%3D36)
![x=\frac{36}{4}=9](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B36%7D%7B4%7D%3D9)
Substitute the value of x
![y=3(9)-14=27-14](https://tex.z-dn.net/?f=y%3D3%289%29-14%3D27-14)
![y=13](https://tex.z-dn.net/?f=y%3D13)
Hence, cost of 1 packet of biscuit=Rs 9
Cost of 1 packet of toffee=Rs 13
Answer:
B
Step-by-step explanation:
1.(5x^3)(xy^4 -2x^3y)
2.5x^4y^4 -10x^6y
Answer:
Step-by-step explanation:
y = (2/3)x + 1
m = 2/3
The slope of the perpendicular line = -1/m