Respuesta :
$3000 * 0.04 = $120
$100 * 0.02 = $20
total 2 accounts = $120 + $20 = $140
answer: $3000 was the originally deposited into the account that pays 4% interest.
$100 * 0.02 = $20
total 2 accounts = $120 + $20 = $140
answer: $3000 was the originally deposited into the account that pays 4% interest.
Answer:
The amount that is deposited at 4 % simple interest is $ 3000.
Step-by-step explanation:
Given, the total amount deposited = $ 4000,
Let x be the amount that is deposited at the rate of 4 % simple interest,
⇒ The amount deposited at the rate of 2% simple interest = ( 4000 - x ) dollars,
We know that,
The simple interest on an amount is,
[tex]I=\frac{P\times r\times t}{100}[/tex]
Where, P is the principal amount, r is rate of interest and t is time,
Thus, the total interest he earned in a year
[tex]I=\frac{x\times 4\times 1}{100}+\frac{(4000-x)\times 2\times 1}{100}[/tex]
[tex]=\frac{4x}{100}+\frac{2(4000-x)}{100}[/tex]
[tex]=\frac{4x+2(4000-x)}{100}[/tex]
According to the question,
I = $ 140,
[tex]\implies \frac{4x+2(4000-x)}{100}=140[/tex]
[tex]\frac{2x+8000}{100}=140[/tex]
[tex]2x+8000=14000[/tex]
[tex]2x=6000[/tex]
[tex]x=3000[/tex]
Hence, the amount that is deposited at 4 % simple interest is $ 3000.
