Answer:
6
Step-by-step explanation:
![-\frac{2}{3} x+9=\frac{4}{3} x-3\\\\](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7D%20x%2B9%3D%5Cfrac%7B4%7D%7B3%7D%20x-3%5C%5C%5C%5C)
First, multiply both sides by 3.
![-2x+27=4x-9\\](https://tex.z-dn.net/?f=-2x%2B27%3D4x-9%5C%5C)
Next, combine like terms.
![-2x+27=4x-9\\-2x+36=4x\\36=6x](https://tex.z-dn.net/?f=-2x%2B27%3D4x-9%5C%5C-2x%2B36%3D4x%5C%5C36%3D6x)
Solve for x.
![36=6x\\6=x](https://tex.z-dn.net/?f=36%3D6x%5C%5C6%3Dx)
Answer:
The interest earned the following year = $75
Step-by-step explanation:
Interest = $75
Rate = 4%
Time = 1 year
To find the Principal, Using the formula for Simple Interest :
![\text{Simple Interest = }\frac{Principal\times Rate\times Time}{100}\\\\\implies 75=\frac{Principal\times 4\times 1}{100} \\\\\bf\implies Principal = \$1875](https://tex.z-dn.net/?f=%5Ctext%7BSimple%20Interest%20%3D%20%7D%5Cfrac%7BPrincipal%5Ctimes%20Rate%5Ctimes%20Time%7D%7B100%7D%5C%5C%5C%5C%5Cimplies%2075%3D%5Cfrac%7BPrincipal%5Ctimes%204%5Ctimes%201%7D%7B100%7D%20%5C%5C%5C%5C%5Cbf%5Cimplies%20Principal%20%3D%20%5C%241875)
Now, to find amount of interest for the second year :
T = 2 years
t = 1 year
Principal = $1875
Rate = 4%
![\text{Simple Interest = }\frac{Principal\times Rate\times (T-t)}{100}\\\\\implies\text{Simple Interest = }\frac{1875\times 4\times (2-1)}{100}\\\\\bf\implies\textbf{Simple Interest = }\$75](https://tex.z-dn.net/?f=%5Ctext%7BSimple%20Interest%20%3D%20%7D%5Cfrac%7BPrincipal%5Ctimes%20Rate%5Ctimes%20%28T-t%29%7D%7B100%7D%5C%5C%5C%5C%5Cimplies%5Ctext%7BSimple%20Interest%20%3D%20%7D%5Cfrac%7B1875%5Ctimes%204%5Ctimes%20%282-1%29%7D%7B100%7D%5C%5C%5C%5C%5Cbf%5Cimplies%5Ctextbf%7BSimple%20Interest%20%20%3D%20%7D%5C%2475)
Hence, The interest earned the following year = $75
100% is = to 1
Because its 100% of one.
so A.
I think your answer is D because when you solve for K by simplifying both sides of the equation you get k>-10 so D would be your answer
you would multiply 22 by 3600 because that’s how many seconds are in a hour and you would receive your answer