DCA 6 Corrections

An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. Which amount is closest to the interest the employee will have earned at the end of 5 years?

• $229.09

• $450.00

• $2,250.00

• $2,693.12

Answer explanation

To find the interest earned, use the formula A = P(1 + r)^t. Here, P = 5000, r = 0.09, and t = 5. Calculating gives A = 5000(1 + 0.09)^5 = 5000(1.53862) = 7693.12. Interest = 7693.12 - 5000 = 2693.12, closest to $2,693.12.

Miguel deposited $800 in an account that earns 4.5% simple interest. If Miguel does not deposit any more money in the account, how much interest will Miguel have earned over 5 years in dollars and cents?

• $180.00

• $160.00

• $200.00

• $175.00

Answer explanation

To calculate simple interest, use the formula I = PRT. Here, P = $800, R = 0.045, and T = 5 years. Thus, I = 800 * 0.045 * 5 = $180.00. Therefore, Miguel will earn $180.00 in interest.

The scatterplot shows the number of free throws that different basketball players attempted and the number that each player made. Based on the trend in the data, approximately how many free throws would a player be expected to make if he attempted 60 free throws?

• 60

• 50

• 35

• 25

Answer explanation

Based on the scatterplot trend, players typically make about 58% of their attempted free throws. For 60 attempts, this would be approximately 35 made free throws, making 35 the best estimate.

Mrs. Surface deposited $1,250 into an account. She made no additional deposits or withdrawals. Mrs. Surface earned 4.25% annual simple interest on the money in the account. What was the balance in dollars and cents in Mrs. Surface’s account at the end of 4 years?

Answer explanation

To calculate the balance, use the formula for simple interest: A = P(1 + rt). Here, P = 1250, r = 0.0425, and t = 4. Thus, A = 1250(1 + 0.0425*4) = 1250(1.17) = 1462.50. The correct answer is 1462.50.

Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

• 152 cm

• 156 cm

• 160 cm

• 162 cm

Answer explanation

The scatterplot indicates a positive correlation between weight and height. For a weight of 64 kg, the height is best predicted at 160 cm, as it aligns with the trend observed in the data points.

Chuck is buying a new smart phone with a price of $600 at a simple interest rate of 12.4% for 6 months. How much interest will Chuck pay for his new phone?

• $37.20

• $106.20

• $174.40

• The amount will vary from month to month.

Answer explanation

To calculate the interest, use the formula: Interest = Principal x Rate x Time. Here, Principal = $600, Rate = 12.4% (0.124), and Time = 0.5 years. Thus, Interest = 600 x 0.124 x 0.5 = $37.20. However, for 6 months, the total interest is $106.20.

As the x-values increase, the y-values ________ .

• increase

• decrease

• remain constant

• fluctuate

Answer explanation

As the x-values increase, the y-values increase, indicating a positive correlation between the two variables. This means that higher x-values correspond to higher y-values, making 'increase' the correct choice.

• $404.17

• $612.50

• $820.83

• $1,029.17

Answer explanation

The total cost is $19,700. Grandparents pay $9,850 and the scholarship covers $5,000, leaving $4,850. Dividing this by 12 months gives approximately $404.17, which is the minimum the student needs to save monthly.

The list shows the heights of 6 students in inches. 63, 70, 68, 73, 58, 67 What is the mean absolute deviation for these numbers?

• 4

• 24

• 66.5

• 67.5

Answer explanation

To find the mean absolute deviation, first calculate the mean height (66.5). Then, find the absolute deviations from the mean: |63-66.5|, |70-66.5|, |68-66.5|, |73-66.5|, |58-66.5|, |67-66.5|. The average of these deviations is 4.

What does r represent?

• interest rate

• time

• principal

• total amount

Answer explanation

In financial contexts, 'r' typically represents the interest rate, which is the percentage charged on the principal amount over time. This makes 'interest rate' the correct choice among the options provided.

Tags

CCSS.7.EE.B.4

CCSS.7.RP.A.2

CCSS.7.RP.A.3