A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Check all that apply.


If the price is marked down by 10 percent, the new price will be $25.20.


If the price is marked down by 25 percent, the new price will be $21.00.


If the price is marked down by 50 percent, the new price will be $19.00.


If the price is marked down by 35 percent, the new price will be $18.20.


If the price is marked down by 40 percent, the new price will be $29.80.

Verified Answer :

Let's check each case to determine the solution to the problem.

we know that

The cost of each flower  arrangements is \(\$28\)

Statements

case A) If the price is marked down by \(10\) percent, the new price will be \(\$25.20\)

we know that

If the price is marked down by \(10\) percent

then

the new price will be

\(10\%= \frac{10}{100} =0.10\)  

\((1-0.10)*\$28=0.90*\$28 \\= \$25.20\)

\(\$25.20=\$25.20\)

therefore

The statement case A) is True

case B) If the price is marked down by \(25\) percent, the new price will be \(\$21\)

we know that

If the price is marked down by \(25\) percent

then

the new price will be

\(25\%= \frac{25}{100} =0.25\)  

\((1-0.25)*\$28=0.75*\$28 \\= \$21\)

\(\$21=\$21\)

therefore

The statement case B) is True

case C) If the price is marked down by \(50\) percent, the new price will be \(\$19\)

we know that

If the price is marked down by \(50\) percent

then

the new price will be

\(50\%= \frac{50}{100} =0.50\)  

\((1-0.50)*\$28=0.50*\$28 \\= \$14\)

\(\$14 eq \$19\)

therefore

The statement case C) is False

case D) If the price is marked down by \(35\) percent, the new price will be \(\$18.20\)

we know that

If the price is marked down by \(35\) percent

then

the new price will be

\(35\%= \frac{35}{100} =0.35\)  

\((1-0.35)*\$28=0.65*\$28 \\= \$18.20\)

\(\$18.20=\$18.20\)

therefore

The statement case D) is True

case E) If the price is marked down by \(40\) percent, the new price will be \(\$29.80\)

we know that

If the price is marked down by \(40\) percent

then

the new price will be

\(40\%= \frac{40}{100} =0.40\)  

\((1-0.40)*\$28=0.60*\$28 \\= \$16.80\)

\(\$16.80 eq \$29.80\)

therefore

The statement case E) is False


Answer:

A, B, D, IS TRUE

Step-by-step explanation: