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Raul is a saver. He sets aside $200 per month during his career of 40 years to prepare for a comfortable retirement. He does not like the idea of investing so he puts his money in a savings account which earns 2% interest per year. What is the balance of his retirement account after 40 years?

Respuesta :

Answer:

$211,971.

Explanation:

he will have earned in $115,971 in interest.

When you have a solid retirement balance, If you make $50,000 at 30 years old, you should have $50,000 set aside for retirement. You should have three times your annual pay by the age of 40.

The balance of Rahul's retirement account after 40 years is 146,887.12

Step-by-step explanation

[tex]\text{Balance of his retirement account after 40 years} \\\\\= \text{Monthly Saving} \text { x } \frac{((1+r)^n-1)}{r}[/tex]

[tex]r = \frac{0.02}{12}\\\n = 40 \text{ x }12 \\\\= 480[/tex]

[tex]\text{Rahuls's Balance of retirement account}\\\\ = 200\text { x } \frac{{(1+0.02/12)^{480-1}}/{\frac{0.02}{12}}}[/tex]


[tex]\text{Balance of his retirement account after 40 years = 146,887.12}[/tex]

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