Given:
The original amount = $6600.
Interest = 21 %.
Aim:
We need to find the year-end amount.
Explanation:
a)
[tex]We\text{ know that year-end amount = original amount+21 \% of the original amount.}[/tex]
[tex]Y\text{ear-end amount = original amount+}\frac{21}{100}\text{ }\times\text{original amount.}[/tex]
[tex]Y\text{ear-end amount = original amount+0.21 }\times\text{original amount.}[/tex]
Take out the common term that is the original amount.
[tex]Y\text{ear-end amount = }(\text{ 1+0.21 })\times\text{original amount.}[/tex]
[tex]Ye\text{ar-end amount = }(\text{ 1.21 })\times\text{original amount.}[/tex]
[tex]Y\text{ear-end amount = 1.21 }\times\text{original amount.}[/tex]
b)
[tex]Y\text{ear-end amount = 1.21 }\times\text{original amount.}[/tex]
Substitute original amount = $6600 in this equation.
[tex]Y\text{ear-end amount = 1.21 }\times6600[/tex]
[tex]Y\text{ear-end amount = \$ 7986}[/tex]
Final answer:
[tex]Y\text{ear-end amount = 1.21 }\times\text{original amount.}[/tex]
[tex]Y\text{ear-end amount = \$ 7986}[/tex]
