Suppose x quarts of the 50% solution
0.5x+0.2*20=0.4(x+20)
0.5x+4=0.4x+8
0.1x=4
x=40
answer:Ergonomics: A bridge between fundamentals and applied research.
The answer is: 12 centimeters.
The explanation is shown below:
1. By definition, all four sides of the square are equal and the diagonals are equal too.
2. Keeping the information above on mind, you know that AC and BD are equal:
![AC=BD](https://tex.z-dn.net/?f=AC%3DBD)
3. Then, the length of BD is twice BE. So, you can calculate it as following:
![BD=2BE](https://tex.z-dn.net/?f=BD%3D2BE)
![BD=2(6cm)\\BD=12cm](https://tex.z-dn.net/?f=BD%3D2%286cm%29%5C%5CBD%3D12cm)
4. Therefore, the lenght of AC is:
![AC=12cm](https://tex.z-dn.net/?f=AC%3D12cm)
Answer:
x=24 y=33
Step-by-step explanation:
If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.
Money offered to Michelle per annum in Job A = $1700
Number of years she will work in job A = 5
Percentage of earnings per annum for her retirement plan = 6.60%
Money she will earn will be the simple interest at the end of 5 years.
We know that :
![\color{plum}{ \tt{Simple \: interest = \frac{Principle \ \: \times \: Rate \: \: \times \: \: Time}{100} }}](https://tex.z-dn.net/?f=%5Ccolor%7Bplum%7D%7B%20%5Ctt%7BSimple%20%5C%3A%20%20interest%20%20%3D%20%20%5Cfrac%7BPrinciple%20%20%5C%20%5C%3A%20%5Ctimes%20%20%5C%3A%20Rate%20%20%5C%3A%20%20%5C%3A%20%5Ctimes%20%5C%3A%20%20%5C%3A%20%20Time%7D%7B100%7D%20%7D%7D)
Principal = $1700
Rate = 6.60%
Time = 5 years
Which means :
![= \frac{1700 \times 6.60 \times 5}{100}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1700%20%5Ctimes%206.60%20%5Ctimes%205%7D%7B100%7D%20)
![= \frac{56100}{100}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B56100%7D%7B100%7D%20)
![= \color{plum}\$561](https://tex.z-dn.net/?f=%20%3D%20%5Ccolor%7Bplum%7D%5C%24561)
We also know that :
![\color{plum}\tt \: Amount = Principal + Interest](https://tex.z-dn.net/?f=%5Ccolor%7Bplum%7D%5Ctt%20%5C%3A%20Amount%20%3D%20Principal%20%2B%20Interest%20)
Amount Michelle will earn at the end of 5 years for her retirement plan :
![= 1700 + 561](https://tex.z-dn.net/?f=%20%3D%201700%20%2B%20561)
![=\color{plum}\bold{\$ 2261}](https://tex.z-dn.net/?f=%20%3D%5Ccolor%7Bplum%7D%5Cbold%7B%5C%24%202261%7D)
2261 can be rounded off to 2260.
Therefore, Michelle will earn <u>$2260</u> at the end of 5 years for her retirement plan.