Multiple choice

Maria deposited \$6,000 at 5% simple annual interest and \$12,000 at z% simple annual interest. The total amount of interest earned by the two deposits in one year was $1,050. Quantity A z Quantity B 4.5

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the given information.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Interest = (6000 * 0.05) + (12000 * z/100) = 1050. 300 + 120z = 1050. 120z = 750. z = 750/120 = 6.25. Since 6.25 > 4.5, Quantity A is greater.

AI explanation

Using the simple interest formula, the interest earned on the first deposit is 5% of \$6,000, which is \$300. Subtracting this from the total interest of \$1,050 means the interest earned on the second deposit is \$750, which means \$750 is z% of \$12,000, so z equals 750 divided by 120, resulting in z being 6.25. Since 6.25 is greater than 4.5, Quantity A is greater.

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