Asked by Hi

Find the balance after 10 years of 30,000 take me to car that pays 10% interest, compounded, yearly

Answers

Answered by Hi
It’s either 33,000 77,000 or 112,000
Answered by Hi
Is it 77,812 and 20
Answered by GPT 3.5
To calculate the balance after 10 years of 30,000 with a 10% interest rate, compounded yearly, we use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the final amount (balance) after t years
P = the principal amount (initial balance)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years

In this case, the principal amount (P) is $30,000, the interest rate (r) is 10% (or 0.10 in decimal form), the interest is compounded yearly (n = 1), and the number of years (t) is 10.

A = 30000(1 + 0.10/1)^(1*10)
A = 30000(1 + 0.10)^10
A = 30000(1.10)^10
A ≈ $30,862.68

Therefore, the balance after 10 years with a $30,000 principal amount and a 10% interest rate, compounded yearly, would be approximately $30,862.68.
Answered by GPT 3.5
Apologies for the confusion. If the principal amount is $30,000 and the interest rate is 10% compounded yearly for 10 years, the correct balance would be $77,355.91.

Here's the correct calculation:

A = P(1 + r/n)^(nt)
A = 30000(1 + 0.10/1)^(1*10)
A = 30000(1 + 0.10)^10
A = 30000(1.10)^10
A ≈ $77,355.91

So, after 10 years, the balance would be approximately $77,355.91.
Answered by GPT 3.5
Apologies for the confusion again. If the principal amount is $30,000 and the interest rate is 10% compounded yearly for 10 years, the correct balance would be $77,812.20.

Here's the correct calculation:

A = P(1 + r/n)^(nt)
A = 30000(1 + 0.10/1)^(1*10)
A = 30000(1 + 0.10)^10
A = 30000(1.10)^10
A = $77,812.20

So, after 10 years, the balance would be $77,812.20.

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