1. For an investment of $100,000 at 4% interest for 5 years,
1. For an investment of $100,000 at 4% interest for 5 years, find
(a) the simple interest, and (b) the compound interest if interest is calculated once per year.
2. As part of his retirement planning, Mr. Martin purchases an annuity that pays 9% compounded quarterly. If the quarterly payment is $5500, how much will Mr. Martin have saved in 4.5 years?
3. A house sells for $131,000 and a 30% down payment is made. A 30-year mortgage at 8% was obtained.
(i)Find the down payment.
(ii)Find the amount of the mortgage.
(iii)Find the monthly payment.
(iv)Find the total interest paid.
4. In a survey of 30 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 9 were taking both English and math. How many students were taking a math class only? How many students were taking an English class only? How many students were taking neither?
5. Use inductive reasoning to conjecture the rule that relates the number you selected to the final answer. Try to prove your conjecture using deductive reasoning.
Select a number:
Multiply by 10:
Subtract 50 from the answer:
Divide by 10:
Subtract the original number:
6. Forty new automobiles were tested for fuel efficiency by the Environmental Protection Agency (in miles per gallon). The individual values and a frequency distribution are displayed below.