Answer:
$8,430.23
Explanation:
From the statement of the problem:
• The principal amount = $8,000
,
• Interest Rate = 5%
,
• Compounding Period = 12 (Monthly)
The compound interest formula is given as:

Using the compound period formula, we first, calculate the amount in her account at the end of 1 year.

This means that the interest she made during the first year is:

Next, calculate the amount in her account at the end of the second year.

Since she paid back all the interest she made during the first year, the amount Diana was left with is:

Diana was left with $8,430.23.
Answer:
768
Step-by-step explanation:
Given that:
Error margin (E) = 5% = 0.05
Confidence level = 95%
Proportion p = 0.5 (since no prior value is given) ; also n1 = n2 = sample size
n = (Z / E)^2 * (1 - p)
1 - p = 1 - 0.5 = 0.5
Zscore at 95% confidence = 1.96
n = (1.96 / 0.05)^2 * 0.5
n = 39.2^2 * 0.5
n = 1536.64 * 0.5
n = 768.32
Hence, sample size = 768 SAMPLES
The factors of 117 are: 1, 3, 9, 13, 39, and 117
The factors of 99 are: 1, 3, 9, 11, 33, and 99
The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126
The greatest common factors of 117, 99, and 126 are: 1, 3, and 9. And according to your answer choices your answer is C. 9
Answer:
-12
Step-by-step explanation: