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A freelance artist is paid $3,520 for a contracted job. The money is invested in a savings account earning 3.05% annual interest compounded monthly. What is the total account balance after 6 months?

A. $3,573.68
B. $3,574.02
C. $3,628.87
D. $4,225.89

User Aerojun
by
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1 Answer

3 votes

Answer:

Answer B

Explanation:

To calculate the total account balance after 6 months with monthly compounding interest, you can use the compound interest formula:

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

Where:

A = the future account balance

P = the initial principal amount

r = the annual interest rate

n = the number of times the interest is compounded per year

t = the number of years

Now, plug these values into the formula:

A = 3520 × (1 + 0.0305/12)^(12 * 0.5)

A = 3520 × (1 + 0.00254166667)⁶

A = 3520 × (1.00254166667)⁶

A = 3520 × 1.01525

A ≈ 3574.02

So, the total account balance after 6 months is approximately $3,574.02.

User Raskayu
by
7.6k points