Answer:
D.
Step-by-step explanation:
Answer:
Equation to represent the situation = ![800=Y(1.05)^X](https://tex.z-dn.net/?f=800%3DY%281.05%29%5EX)
Step-by-step explanation:
Given:
Initial investment = Y
Growth rate (r) = 5% = 5 / 100 = 0.05
Number of year (n) = X year
Amount after X year = $800
Find:
Equation to represent the situation:
Computation:
![Amount = Initial\ investment (1+r)^n\\\\800 = Y (1+0.05)^X\\\\800 = Y (1.05)^X\\\\](https://tex.z-dn.net/?f=Amount%20%3D%20Initial%5C%20investment%20%281%2Br%29%5En%5C%5C%5C%5C800%20%3D%20Y%20%281%2B0.05%29%5EX%5C%5C%5C%5C800%20%3D%20Y%20%281.05%29%5EX%5C%5C%5C%5C)
Equation to represent the situation = ![800=Y(1.05)^X](https://tex.z-dn.net/?f=800%3DY%281.05%29%5EX)
Answer:
4/4
Step-by-step explanation:
2/3 * what = 8/12
Multiply the top and bottom by 4/4
2/3 *4/4 = 8/12
Let , missing value(_)=A
As, it is given that ,
![CosA=\frac{6}{19}\\\\ Cos A=0.3158\\\\ A=72 {\text{Degree}}](https://tex.z-dn.net/?f=CosA%3D%5Cfrac%7B6%7D%7B19%7D%5C%5C%5C%5C%20Cos%20A%3D0.3158%5C%5C%5C%5C%20A%3D72%20%7B%5Ctext%7BDegree%7D%7D)
To convert the value of A into Radians,
360°=2 π Radians
![1 {\text{degree}}=\frac{\pi}{180}\\\\72 {\text{Degree}} =\frac{72\times 22}{180 \times 7}\\\\=1.2571](https://tex.z-dn.net/?f=1%20%7B%5Ctext%7Bdegree%7D%7D%3D%5Cfrac%7B%5Cpi%7D%7B180%7D%5C%5C%5C%5C72%20%7B%5Ctext%7BDegree%7D%7D%20%3D%5Cfrac%7B72%5Ctimes%2022%7D%7B180%20%5Ctimes%207%7D%5C%5C%5C%5C%3D1.2571)
So, missing value to the nearest hundredth= 1.26 Radians
The simplest form of 3/6 is 1/2 because 3 is half of 6