Answer:
One third the difference between 3/4 and 2/3 is ![(\frac{1}{36} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B36%7D%20%29)
Step-by-step explanation:
One third the difference of A and B = ![\frac{1}{3} \times (A-B)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%28A-B%29)
Here, as given in the question:
![A = \frac{3}{4} , B = \frac{2}{3} \\\implies A - B = \frac{3}{4} - \frac{2}{3}\\=(\frac{3 \times 3 -2 \times 4}{12}) = (\frac{9-8}{12} ) = (\frac{1}{12})\\ \implies A - B = (\frac{1}{12})](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2C%20B%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%5Cimplies%20A%20%20-%20B%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20-%20%5Cfrac%7B2%7D%7B3%7D%5C%5C%3D%28%5Cfrac%7B3%20%5Ctimes%203%20-2%20%5Ctimes%204%7D%7B12%7D%29%20%20%3D%20%28%5Cfrac%7B9-8%7D%7B12%7D%20%29%20%3D%20%28%5Cfrac%7B1%7D%7B12%7D%29%5C%5C%20%5Cimplies%20%20A%20%20-%20B%20%3D%20%20%28%5Cfrac%7B1%7D%7B12%7D%29)
Now, one third of the difference is :
![(\frac{1}{3}) \times (\frac{1}{12}) = (\frac{1}{36})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%29%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B12%7D%29%20%3D%20%20%20%28%5Cfrac%7B1%7D%7B36%7D%29)
Hence, one third the difference between 3/4 and 2/3 is ![(\frac{1}{36} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B36%7D%20%29)
Answer:
2x² + 23
Step-by-step explanation:
Distribute the -5 and combine like terms.
7x² + 3 - 5(x² - 4) =
= 7x² + 3 - 5x² + 20
= 2x² + 23
Answer:
8864.73
Step-by-step explanation:
A=p(1+r)^t
A future value ?
p the principle 6000
r interest rate 0.05
t time 8 years
A=6000×(1+0.05)^8
A=8864.73
Answer: 28,665 currency units
Step-by-step explanation:
Find the value of the car after 4 years using the Future value formula:
= Amount * ( 1 + rate) ^ no. of years
= 33,750 * ( 1 + (-4%))⁴
= 33,750 * 0.84934656
= 28,665.45
= 28,665 currency units
Answer:
A, E and the chart on th botton (I cant see the letter)
Step-by-step explanation:
A. y+4 = 2x --> y=2x-4
The 2 is the M and the -4 is the b
E. E is a diagional line theirfore it is linnear.
Chart on the bottom. The chart wiht points: (-2, 2.5) (-1, 2.75) (0,3) (1, 3.25) and (2,3.5)
If you graph it then it will be a diagional line.