Skills in Money and Data Management

• $750

• $850

• $900

• $950

Answer explanation

Total expenses are 600 + 300 + 200 + 150 = 1250. Subtracting from the budget: 2000 - 1250 = 750. Therefore, the correct amount left for savings and other expenses is $850.

Cowabunga! If Leonardo and Donatello invest $1000 in a gnarly savings account with an annual interest rate of 5%, how much interest will they earn in one year, dude?

• $50

• $100

• $150

• $200

Answer explanation

To calculate the interest earned in one year, use the formula: Interest = Principal x Rate. Here, Interest = $1000 x 0.05 = $50. Therefore, the correct answer is $50.

Michelangelo and Leonardo take 8 hours to complete a gnarly mission. If they can improve their efficiency by 25%, how long will it take to complete the mission now, dude?

• 6 hours

• 6.5 hours

• 7 hours

• 7.5 hours

Answer explanation

Improving efficiency by 25% means you work at 75% of the original time. 8 hours x 0.75 = 6 hours. Therefore, the project will now take 6 hours to complete.

Which of the following is the most gnarly way to greet a dude?

• Hey there!

• What's up?

• Cowabunga!

• Hello!

Answer explanation

A histogram is the best choice for showing the distribution of a single variable as it displays the frequency of data points within specified ranges, allowing for easy visualization of the data's distribution.

If the average number of times Leonardo and Michelangelo say 'cowabunga' in a week is 50 and the standard deviation is 5, what is the z-score of a week where they said 'cowabunga' 60 times?

• 1

• 2

• 3

• 4

Answer explanation

To find the z-score, use the formula: z = (X - mean) / standard deviation. Here, z = (60 - 50) / 5 = 10 / 5 = 2. Thus, the z-score of the data point 60 is 2.

Which of the following is a gnarly method Raphael and Michelangelo use to gather information, dude?

• Literature review

• Survey

• Data mining

• Meta-analysis

Answer explanation

A survey is a primary method of data collection as it involves directly gathering information from respondents. In contrast, literature reviews, data mining, and meta-analysis analyze existing data rather than collecting new data.

• 64%

• 62%

• 60%

• 58%

Answer explanation

To find the percentage spent, divide the amount spent (3200) by the total budget (5000) and multiply by 100. (3200 / 5000) * 100 = 64%. Thus, you have spent 64% of your budget.

What is the gnarly compound interest on a principal amount of $2000 that Leonardo and Donatello invested at an annual interest rate of 4% compounded annually for 2 years, dude?

• $160

• $163.20

• $166.40

• $170

Answer explanation

To calculate compound interest, use the formula A = P(1 + r/n)^(nt). Here, P = 2000, r = 0.04, n = 1, and t = 2. This gives A = 2000(1 + 0.04/1)^(1*2) = 2000(1.04)^2 = 2000 * 1.0816 = 2163.20. Interest = A - P = 2163.20 - 2000 = 163.20.

If Donatello and Michelangelo take 3 hours to complete a gnarly mission and they can reduce the time by 20%, how long will it take to complete the mission now, dude?

• 2.4 hours

• 2.5 hours

• 2.6 hours

• 2.7 hours

Answer explanation

To find the new time, calculate 20% of 3 hours: 3 * 0.20 = 0.6 hours. Subtract this from the original time: 3 - 0.6 = 2.4 hours. Thus, the task will now take 2.4 hours.

Which type of chart is most gnarly for showing the relationship between the number of pizzas eaten and the number of bad guys defeated by Leonardo and Michelangelo? Cowabunga dude!

• Pie chart

• Scatter plot

• Bar chart

• Line graph

Answer explanation

A scatter plot is ideal for showing the relationship between two variables, as it displays data points on a Cartesian plane, allowing for easy visualization of correlations and trends. Other chart types are less effective for this purpose.