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Following numbers are presented in one of three basic numerical types (fraction, decimal, and percent): 0.33 75% 150% -1.11 0.3 100% 1000% 0.01% For each number, find two other types (present in simplest form). 3/4 118

Following numbers are presented in one of three basic numerical types (fraction, decimal, and percent): 0.33 75% 150% -1.11 0.3 100% 1000% 0.01% For each number, find two other types (present in simplest form). 3/4 118

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem (Part II)** 1. **Topic/Model:** Percent. - **Problem:** Following numbers are presented in one of three basic numerical types (fraction, decimal, and percent): - 0.33, 75%, 150%, \(\frac{1}{8}\), -1.11, 0.3, 100%, 1000%, 0.01%, \(\frac{3}{4}\) - **Task:** For each number, find two other types (present in simplest form). - **Note:** Percent-to-decimal or decimal-to-percent transformations may occur by moving a decimal point (a certain amount of times). - **Extra:** Write ten reciprocals of powers of 2 (starting from ½) as fractions and change/convert each of them to decimal and percent. 2. **Topic/Model:** Interest. - **Problem:** Consider the simple interest, find how many years it will take to get total $210 if the principal is $100 and an interest rate is 10%. - **Note:** Use the Interest (simple) and/or Mature Value (Ending Balance) formulas. - **Extra:** For the same data; apply compound interest. Compare. 3. **Topic/Model:** Homeownership. - **Problem:** Find the monthly payment for a 178,500.00 home with 25% down payment. The terms of the mortgage are 10.5% for 20 years. - **Note:** Find the down payment and use a ‘Monthly Payment of Mortgage’ table. - **Extra:** Find the monthly payment for that home for each combination of terms: 9.5% & 10.5%; 20 & 25 years, and 20% & 25% down payment. Compare them. 4. **Topic/Model:** Probability. - **Problem:** If a die (a fair die — a cube) is rolled one time, find the probability of getting: - a 4 or 6; an odd #; a # greater than 2; a # less than 4 and odd; a # divisible by 3. - **Note:** Use the formula for classical (theoretical) probability. - **Extra:** A couple has four children. Find the probability that two of them are girls. 5. **Topic/Model:** Measures of average (
Transcribed Image Text:**Problem (Part II)** 1. **Topic/Model:** Percent. - **Problem:** Following numbers are presented in one of three basic numerical types (fraction, decimal, and percent): - 0.33, 75%, 150%, \(\frac{1}{8}\), -1.11, 0.3, 100%, 1000%, 0.01%, \(\frac{3}{4}\) - **Task:** For each number, find two other types (present in simplest form). - **Note:** Percent-to-decimal or decimal-to-percent transformations may occur by moving a decimal point (a certain amount of times). - **Extra:** Write ten reciprocals of powers of 2 (starting from ½) as fractions and change/convert each of them to decimal and percent. 2. **Topic/Model:** Interest. - **Problem:** Consider the simple interest, find how many years it will take to get total $210 if the principal is $100 and an interest rate is 10%. - **Note:** Use the Interest (simple) and/or Mature Value (Ending Balance) formulas. - **Extra:** For the same data; apply compound interest. Compare. 3. **Topic/Model:** Homeownership. - **Problem:** Find the monthly payment for a 178,500.00 home with 25% down payment. The terms of the mortgage are 10.5% for 20 years. - **Note:** Find the down payment and use a ‘Monthly Payment of Mortgage’ table. - **Extra:** Find the monthly payment for that home for each combination of terms: 9.5% & 10.5%; 20 & 25 years, and 20% & 25% down payment. Compare them. 4. **Topic/Model:** Probability. - **Problem:** If a die (a fair die — a cube) is rolled one time, find the probability of getting: - a 4 or 6; an odd #; a # greater than 2; a # less than 4 and odd; a # divisible by 3. - **Note:** Use the formula for classical (theoretical) probability. - **Extra:** A couple has four children. Find the probability that two of them are girls. 5. **Topic/Model:** Measures of average (
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