Amelia invests money in an account paying simple interest. She invests $100 and no money is added or removed from the investment. After one year, she has $101. What is the simple percent interest per year?

Respuesta :

Answer:

[tex]\textsf {1 percent}[/tex]

Step-by-step explanation:

[tex]\textsf {Simple Interest Formula :}[/tex]

[tex]\mathsf {I = P \times r \times t}[/tex]

[tex]\textsf {Given :}[/tex]

[tex]\textsf {I = 101 - 100 = 1}[/tex]

[tex]\textsf {P = 100}[/tex]

[tex]\textsf {t = 1}[/tex]

[tex]\textsf {Solving :}[/tex]

[tex]\mathsf {1 = 100 \times 1 \times r}[/tex]

[tex]\mathsf {r = \frac{1}{100}}[/tex]

[tex]\mathsf {r = 0.01}[/tex]

[tex]\textsf {r = 1 percent}[/tex]

Let's see

  • Principal=$100
  • Final=$101

Total interest earned=101-100=$1

Now

  • Interest rate=1/100×100=1%