Respuesta :

Answer:

The amount we have to deposit in a savings account x = $ 17777.78

Step-by-step explanation:

Amount = $ 20000

R = 2.5 %

Time = 5 years

Take principal amount = x

Simple interest earned in five years

S.I. = [tex]\frac{P R T}{100}[/tex]

[tex]S.I. = \frac{P (2.5)(5)}{100}[/tex]

[tex]S.I. = \frac{x}{8}[/tex]   ------- (1)

We know hat total amount is given by

Total amount = principal amount + simple interest

A = x + S.I.

[tex]A = x + \frac{x}{8}[/tex]

[tex]A = \frac{9x}{8}[/tex]

Given that the total amount after 5 years is = $ 20000

[tex]\frac{9x}{8} = 20000[/tex]

x = $ 17777.78

This is the amount we have to deposit in a savings account.

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