Question

Solve showing work for absolute value

solve problem show work
Steven just receiveda 3% raise. His new salary is $55,620.
What was his old salary?
Appliance store hwere ramios shops offers a 9% discount for
paying cah. If the price of a new frige without a discout is $978,
find the discount and the new price.
A 6 ft board is cut into 2 peices so that one peice is 2 feet
longer than 3 times the shorter peice. Ifthe shorter peice is x
fett long, find the lengths of both peices.

Answer 1

$54,000

Amount of discount = $88.02

The new price = $978 - $88.02 = $889.98

Length of shorter piece is 1 ft and longer piece is 5 ft

Explanation:

Given:

Raise received = 3%

New salary = $55,620

Now,

New salary = old salary + 3% of old salary

or

$55,620 = old salary + (0.03 × old salary)

or

$55,620 = Old salary × (1.03)

or

Old salary = $54,000

Given:

Price of the new fridge = $978

Discount offered = 9%

Thus,

Amount of discount = 9% of $978

or

Amount of discount = 0.09 × $978

or

Amount of discount = $88.02

And, the new price = Price of the fridge - Amount of discount

or

The new price = $978 - $88.02 = $889.98

Given:

Length of the of the board before cutting = 6 ft

Now,

According to the question

let the length of the shorter piece be 'x'

thus,

6 = x + (3x + 2)

or

6 = 4x + 2

or

4 = 4x

or

x = 1 ft

hence,

shorter piece is 1 ft long and longer piece is (3x +2 = 5ft)