SamanthaHunter05
SamanthaHunter05 SamanthaHunter05
  • 21-09-2020
  • Mathematics
contestada

If Sonja deposits $1,000 into a savings account at 4% simple interest, how long will it
take her to earn $100 in interest? (I = PRT)

Respuesta :

erinna erinna
  • 27-09-2020

Given:

Principal (P)= $1,000

Rate of interest (R)= 4% = 0.04

Simple interest (I)= $100

To find:

The time for which she deposits $1000 into a savings account at 4% simple interest.

Solution:

The formula for simple interest is

[tex]I=P\times R\times T[/tex]

On substituting P=1000, R=0.04 and I=100 in the above formula, we get

[tex]100=1000\times 0.04\times T[/tex]

[tex]100=40T[/tex]

Divide both sides by 40.

[tex]\dfrac{100}{40}=T[/tex]

[tex]2.5=T[/tex]

Therefore, the required time is 2.5 years.

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