An umbrella at a shop was marked for $6 . During a sale, a discount of 10% was given. A further 8% discount was given to the senior citizens. How much would a senior citizen need to pay for the umbrella during the sale? Round your answer to the nearest cent.

A senior citizen will pay $4.97

Step-by-step explanation:

Mathematically, discount = discount percentage * marked price

Sales price = marked price - discount

In the question, marked price = $6

First, we have a discount of 10%, so therefore , the sales price will be;

$6 - (10/100 * $6 ) = $6 - $0.6 = $5.4

Now, a further 8% discount was given to senior citizens,

The extra discount for senior citizens is thus;

8/100 * 5.4 = $0.432

Amount to be paid by senior citizens = $5.4 - $0.432 = $4.968. which is $4.97 to the nearest cent

ok

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240