Answer:
Compound Interest Formula Solved For Rate:
log (1 + rate) = {log(total) -log(Principal)} ÷ Years
log (1 + rate) = {log(5,800) -log(5,000)} ÷ 5
log (1 + rate) = [3.7634279936 -3.6989700043] / 5
log (1 + rate) = 0.0644579893 / 5
log (1 + rate) = 0.0128915979
Then we raise 10 to the power of 0.0128915979 which equals
1.0301289629 = 1 + rate
Therefore, rate = .0301289629 and we multiply by 100 to make a percentage:
3.01289629 %
Source: https://1728.org/compint2.htm
https://1728.org/compint.htm
Step-by-step explanation:
So first you would combine the like-terms so you get:
![\frac{7}{9} x - \frac{1}{5} = 124 \div 5](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B9%7D%20x%20-%20%5Cfrac%7B1%7D%7B5%7D%20%3D%20124%20%5Cdiv%205)
and combine the second like-terms:
![\frac{7}{9}x - \frac{1}{5} = 24.8](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B9%7Dx%20-%20%5Cfrac%7B1%7D%7B5%7D%20%3D%2024.8)
now you only have a two step equation and you continue by doing the reciprocal and you add the -1/5 to the 24.8 where you get:
7/9x=24.6
then because the 7/9 is being multiplied by the x and your trying to isolate it you divide it by the 7/9 on both sides and you'll end up getting
x=31.628571429....
Set up the direct proportion:
![\frac{\$360,000 \text{ assessed}}{\$7,920 \text{ tax}} = \frac{\$930,000 \text{ assessed}}{\$x \text{ tax}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5C%24360%2C000%20%5Ctext%7B%20assessed%7D%7D%7B%5C%247%2C920%20%5Ctext%7B%20tax%7D%7D%20%3D%20%5Cfrac%7B%5C%24930%2C000%20%5Ctext%7B%20assessed%7D%7D%7B%5C%24x%20%5Ctext%7B%20tax%7D%7D)
Cross multiply (you can reduce first if you prefer):
![360,000x=7,365,600,000](https://tex.z-dn.net/?f=360%2C000x%3D7%2C365%2C600%2C000)
Divide both sides by 360,000 to isolate x:
![x=20,460](https://tex.z-dn.net/?f=x%3D20%2C460)
You're paying $20,460 in tax on that $930,000 house.
Answer:
(A) a=1,b=5,c=9
Step-by-step explanation:
We want to simplify
for values of a, b and c which satisfies: ![a\dfrac{b}{c}](https://tex.z-dn.net/?f=a%5Cdfrac%7Bb%7D%7Bc%7D)
Converting our result to mixed fraction
![\dfrac{28}{18}=1\dfrac{10}{18}=1\dfrac{5}{9}\\a=1,b=5,c=9](https://tex.z-dn.net/?f=%5Cdfrac%7B28%7D%7B18%7D%3D1%5Cdfrac%7B10%7D%7B18%7D%3D1%5Cdfrac%7B5%7D%7B9%7D%5C%5Ca%3D1%2Cb%3D5%2Cc%3D9)
Answer:
2
Step-by-step explanation: