If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals.

A. $6,356.25
B. $11,821.07
C. $5,024
D. $6,312.38
...?

Respuesta :

Answer:

Option D - $6312.38

Step-by-step explanation:

Given : If you were to place $5,000 in a savings account that pays 6% interest compounded continuously.

To find : How much money will you have after 4 years?

Solution :

Using compound interest formula,

[tex]A=P(1+r)^t[/tex]

Where A is the amount,

P is the principle P=$5000  

r is the rate r=6%=0.06

t is the time t= 4 years

Substitute the value,

[tex]A=P(1+r)^t[/tex]

[tex]A=(5000)(1+0.06)^4[/tex]

[tex]A=(5000)(1.06)^4[/tex]

[tex]A=5000\times 1.262[/tex]

[tex]A=6312.38[/tex]

The money he have after 4 years is $6312.38

Therefore, Option D is correct.

Kati19

Answer:

A 6,356.25

Step-by-step explanation:

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E

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