Pentathlon Math Homework Quiz

• Brittany has $80 in a savings account. The interest rate is 10% per year and is not compounded. How much will she have in total in 4 years?

Answer explanation

Interest = 80 x 0.1 x 4

Interest = 32

Principal + Interest = New Total

80 + 32 = 112

Lizzy has $1250 in a savings account. The interest rate is 6% per year and is not compounded. How much will she have in total in 5 years?

Answer explanation

Interest = 1250 x 0.06 x 5

Interest = 375

Principal + Interest = New Total

1250 + 375 = 1625

Kristen's investment earns 3% each year and is compounded quarterly. Calculate the total value after 6 years from an initial investment of $5,000. Round your answer to the nearest tenth.

Answer explanation

P = $5000

r = 3% = 0.03

n = quarterly mean 4 times per year

t = 6 years

A = 5000 x (1 + 0.03/4)^4x6

A = 5982.06764696

Rounded

A = $5982. 07

Alice wants to invest $3600 for 5 years. The interest rate is 4.5% compounded monthly. What will be the total amount in the account rounded to the nearest hundreth?

Answer explanation

P = $3600

r = 4.5% = 0.045

n = monthly means it compounds 12 times a year

t = 5 years

A = 3600 x (1+0.045/12)^12x5

A = 4506.46495389

Rounded to the nearest hundredth

A = $4506.46

Roger is deciding what type of single-scoop sundae to order at an ice cream shop. There are 2 types of cones and 7 ice cream flavors. For the sauce, Roger has 5 options. The shop has 4 types of toppings. How many different ice cream sundaes can Roger order?

Answer explanation

2 (cones) x 7 (ice cream flavors) x 5 (sauces) x 4 (toppings)

= 280 different ways to make a sundae

Emma is planning a workout. She wants to do one of the 12 stretches and one of the 4 warm-up routines. She needs to choose one of the 7 cardio routines and one of the 8 resistance training routines. How many different workouts can Emma plan?

Answer explanation

12 (stretches) x 4 (warm-ups) x 7 (cardio) x 8 (resistance)

There are 8 horses in a race. How many different orders of finish (first place through eighth place) are possible

Answer explanation

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 =

40,320

Rosa is organizing books in her new bookshelf. She has 5 hardcover books she wants to place in the same shelf. How many different ways can Rosa arrange her hardcover books?

Answer explanation

5! = 5 x 4 x 3 x 2 x 1 = 120