Math in the Modern World

Which of the following is NOT an example of fractals?

• the number of spirals on a pineapple

• coastlines

• ferns

• coral

What is the basic formula of the Golden Ratio?

• (a + b)/a

• (a + b)/b

• (a -b)/a

• (a - b)/b

The following are propositions EXCEPT

• Today is Tuesday.

• Bring your laptop.

• 2x + 3 = 7 if x = 1

• |x - 2|> 0 if x = 2.

How many combinations are needed to complete the truth table for 6 propositions?

• 32

• 64

• 128

• 6

John borrowed P15,000 for 2 years and 6 months, with simple interest at 9%. How much does he owe at the end of the time?

• P3,375

• P15, 375

• P18,000

• P18, 375

DiscountP9,000 for 9 months at a discount rate of 8%.

• P8,460

• P6,740

• P 7,480

• P 8,670

A debt of P20, 000 is due on December 1, 2020. What was the value of this debt on December 1, 2018 at 14% converted semi-annually?

• P15,257.90

• P33,500.39

• P 28, 600.21

• P36,548,19

Find the amount of an ordinary annuity of 20 semi-annual payments of P1, 000 if interest rate is 12% compounded semi-annually.

• P15,257.90

• P33,567.21

• P 38, 678.15

• P36,785.59

If x is a continuous random variable, then the total area under the probability distribution curve of x is always:

• less than1

• greater than 1

• equal to 1

• between zero and 1

Which of the following occurs in decision making under uncertainty?

• a payoff table for each possible combination of decisions and outcomes

• conditional probabilities

• equally likely probabilities for all states of nature

• exactly one state of nature