Answer:
5 months
ROI = 3.75 %
Step-by-step explanation:
Since,
The simple interest formula,
![I=P\times r\times t](https://tex.z-dn.net/?f=I%3DP%5Ctimes%20r%5Ctimes%20t)
Where,
P = Principal amount,
r = rate per period ( in decimal )
t = number of periods,
Here, P = 800, r = 9% = 0.09,
If A is the future amount,
We have, A = 830
I = A - P = 830 - 800 = 30
By substituting the values in the above formula,
![30=800\times 0.09\times t](https://tex.z-dn.net/?f=30%3D800%5Ctimes%200.09%5Ctimes%20t)
![30=72t](https://tex.z-dn.net/?f=30%3D72t)
![\implies t =\frac{30}{72}=\frac{5}{12}](https://tex.z-dn.net/?f=%5Cimplies%20t%20%3D%5Cfrac%7B30%7D%7B72%7D%3D%5Cfrac%7B5%7D%7B12%7D)
Hence, it will take 5 months. ( 1 year = 12 months )
Now,
![\text{Return on investment }=\frac{I}{P}\times 100](https://tex.z-dn.net/?f=%5Ctext%7BReturn%20on%20investment%20%7D%3D%5Cfrac%7BI%7D%7BP%7D%5Ctimes%20100)
![=\frac{30}{800}\times 100](https://tex.z-dn.net/?f=%3D%5Cfrac%7B30%7D%7B800%7D%5Ctimes%20100)
![=3.75\%](https://tex.z-dn.net/?f=%3D3.75%5C%25)
Answer:
Correct answer: second quadrant angle is 3π/4
fourth answer (2√2 + π) / 4
third quadrant angle is 5π/4
first answer (-2√2 + π) / 4
Step-by-step explanation:
Your question does not define the quadrant in which the angle is of the
cos⁻¹ (- √2/2).
If it is in the second quadrant then the angle is 3π/4 and if it is in the third quadrant then the angle is 5π/4
1) second quadrant angle is 3π/4
sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 3π/4) + tan⁻¹ 1 =
= √2/2 + π/4 = (2√2 + π) / 4
2) third quadrant angle is 5π/4
sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 5π/4) + tan⁻¹ 1 =
= - √2/2 + π/4 = (-2√2 + π) / 4
God is with you!!!
-5a+3b should be the answer simplified
Answer:
82.4
Step-by-step explanation:
divide 51/13, multiply that result by 21.
Answer:
Height, base(4,1) to A(4,3)
Step-by-step explanation:
The height that is shown is incorrect as it is showing the distance between A and B, which is not the height of the triangle, and simply a side. We need to find the altitude(height) which is a line perpendicular to the base. If we draw a line that is perpendicular to the base that intersects the highest point of the triangle, A, we get the point of intersection of that line and the base at (4,1)