Please answer all questions I appreciate it **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 (

0.33=33100 or 33%; 75%=34 or 0.75; 150%=32 or 1.5; 18=123=0.53=0.125 or 12.5%; -1.11=-111100 or -111%, 0.3=13 or 33.33%, 100%=1 or 11; 1000%=10 or 101; 0.01%=0.0001 or 110000; 34=3122=30.52=0.75 or 75%A=$210, P=$100, r%=10% Simple interest: A=P+Prt100. Substitute the values and obtain t: 210=100+100×10×t100110=10tt=11 Therefore, the number of years is 11. Compound interest: A=P1+r100t. Substitute the values and obtain t: 210=1001+10100t2110=1110tt≈7.78 Therefore, the number of years is 7.78. Monthly payment is obtained as MP=r×PV1-1+r-n. Down payment is obtained as DP=25% of 178500=44,625. Hence, the mortgage amount to be paid is 133,875. r=10.5%20=0.00525 Hence, MP=0.00525×1338751-1+0.00525-20≈7,068.86 Hence, the monthly payment is 7,068.86. Note: The first three questions are answered. Post the remaining questions separately.