Simplify the following:
(-6 (-8)×2×3 x x x x)/(3×4)
(8 x×2 x (-6) x×3 x (-1))/(3×4) = (8 x^4×2 (-6)×3 (-1))/(3×4):
(-6 (-8)×2×3 x^4)/(3×4)
8×2 = 16:
(-6 (-3)16 x^4)/(3×4)
16 (-6) = -96:
(-3-96 x^4)/(3×4)
-96 (-3) = 288:
(288 x^4)/(3×4)
3×4 = 12:
(288 x^4)/12
|
1 | 2 | | 2 | 4
| 2 | 8 | 8
- | 2 | 4 |
| | 4 | 8
| - | 4 | 8
| | | 0:
Answer: 24 x^4
Answer:
x = ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Step-by-step explanation:
The segment from the vertex to the base is a perpendicular bisector.
Using Pythagoras' identity on the right triangle on the left.
x² = 2² + 3² = 4 + 9 = 13 ( take the square root of both sides )
x = ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Answer:
a) 13913
b) 4913.82
Step-by-step explanation:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
Investment of 9000, so ![P = 9000](https://tex.z-dn.net/?f=P%20%3D%209000)
Interest rate of 8%, so ![r = 0.08](https://tex.z-dn.net/?f=r%20%3D%200.08)
Compounded quarterly, so ![n = 4](https://tex.z-dn.net/?f=n%20%3D%204)
5 years and 6 months, that is, 5 years and half, so ![t = 5.5](https://tex.z-dn.net/?f=t%20%3D%205.5)
(a) How much would the value of her savings at the end of the term?
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82](https://tex.z-dn.net/?f=A%285.5%29%20%3D%209000%281%20%2B%20%5Cfrac%7B0.08%7D%7B4%7D%29%5E%7B4%2A5.5%7D%20%3D%2013913.82)
(b) How much is the interest earned by your savings?
The amount subtracted by the principal. So
13913.82 - 9000 = 4913.82
Answer:
12 is the horizontal distance and 16 is the vertical distance
Answer: x= 20
Step-by-step explanation:
If m and n are parallel then the 3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.
2x + 20 = 3x
-2x -2x
20 = 1x
x= 20