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Jose deposited $2500 in an account that pays 6% simple interest. How much money will he have at the end of 3 years?

Respuesta :

Answer:

[tex]\boxed {\boxoed {\sf \$ 2950}}[/tex]

Step-by-step explanation:

We want to calculate Jose's money after 3 years. First, calculate the interest.

For simple interest, the formula is:

[tex]I=p \times r \times t[/tex]

where p is the principal, r is the interest rate, and t is the time.

The principal or starting amount is $2,500. The time is 3 years. The interest rate is 6%, but we must convert this to a decimal. Divide by 100 or move the decimal place 2 spots to the left.

  • 6/100=0.06
  • 6.0  -->  0.6  --> 0.06

So, we know that:

  • p= 2500
  • r=0.06
  • t=3

Substitute these values into the formula.

[tex]I= 2500 \times 0.06 \times 3 \\I= 2500 \times 0.18 \\I=450[/tex]

Jose earned $450 in interest, but we want to know the money he has in total. Therefore, we add his interest to the principal.

[tex]A=p+I \\A= 2500+ 450 \\ A=2950[/tex]

After 3 years, Jose has $2,950