1. if the product of the integers a, b, and c is 1, then what is the difference between the largest and the smallest possible values of a^2*b^3*c^4?
a. -2 b. -1 c. 1 d. 2

2. hats are purchased at the rate of $33 per dozen. if they are sold at a closeout sale for $2.50 each, the percent loss on the cost price is:
a. 3 b. 3 1/3 c. 9 1/11 d. 10

Problem 1

The largest value would be 1 and the smallest would be -1.

To get a product of 1, either all are 1 or two of the variables are -1 and the other one is 1.

Largest value = (1)^2 * (1)^3 * (1)^4 =1

Smallest value = (- 1)^2 * (- 1)^3 * (1)^4 = -1

The difference is:

largest value – smallest value = 1 – (-1) = 2

Therefore the answer is letter D.

Problem 2

% loss = (final price – initial price) * 100%/ initial price

where, final price per dozen = ( $2.50 / piece) (12 piece / dozen) = $30

Therefore,

% loss = ($30 - $33) * 100 / $33

% loss = - 300/ 33 = 9 1/11

Therefore the answer is letter C.

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true