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4 years ago

Single discount rate equavalent to a series of discounts 20% and 25% is

Mathematics

1 answer:

zhenek [66]4 years ago

5 0

Answer:

The single discount rate equavalent is a discount of 40%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Discount of 20%:

20% decrease:

1 - (20/100) = 1 - 0.2 = 0.8

Discount of 25%:

1 - (25/100) = 1 - 0.25 = 0.75

Series of discounts(20% and 25%):

0.8*0.75 = 0.6

1 - 0.6 = 0.4

The single discount rate equavalent is a discount of 40%.

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goblinko [34]

3.
-0.5(-4) +1= 2+1 =3
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-0.5(0) + 1 = 1
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-0.5(4) + 1 = -2+1 = -1
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3 years ago

The table below shows the cost of downloading songs from a website. Number of Songs Total Cost 14 $8.96 16 $10.24 18 $11.52 If c

shepuryov [24]

Given:

c = total cost.

s = number of songs.

To solve this question, follow the steps below.

Step 01: Find 2 points (s, c).

You can choose 2 points from the table.

Let's choose (14, 8.96) and (16, 10.24).

Step 02: Substitute one point in the general equation.

Given the general equation:

$c=ms+b$

Substituting the first point.

$\begin{gathered} 8.96=14m+b \\ 8.96-14m=b \\ b=8.96-14m \end{gathered}$

Isolating b by subtracting 8.96 m from both sides:

$\begin{gathered} 14-8.96m=8.96m+b-8.96m \\ 14-8.96m=b \\ b=14-8.96m \end{gathered}$

Step 03: Substitute b in the general equation.

$\begin{gathered} c=ms+b \\ c=ms+8.96-14m \end{gathered}$

Step 04: Substitute the second point in the equation above.

$\begin{gathered} c=ms+8.96-14m \\ 10.24=16m+8.96-14m \\ 10.24=2m+8.96 \end{gathered}$

Step 05: Solve the equation above for m.

To do it, first, subtract 8.96 from both sides.

$\begin{gathered} 10.24-8.96=2m+8.96-8.96 \\ 1.28=2m \end{gathered}$

Now, divide both sides by 2.

$\begin{gathered} \frac{1.28}{2}=\frac{2}{2}m \\ m=0.64 \end{gathered}$

Step 06: Substitute m in the equation from step 02 to find b.

$\begin{gathered} b=8.96-14m \\ b=8.96-14\cdot0.64 \\ b=8.96-8.96 \\ b=0 \end{gathered}$

Step 07: Write the equation.

$\begin{gathered} c=0.64s+0 \\ c=0.64s \end{gathered}$

Answer:

c = 0.64s

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2 years ago

475.86 million in scientific notation

natta225 [31]

Answer:

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Step-by-step explanation:

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3 years ago

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Jennifer is hanging a curtain her bedroom she wants the width of the curtain to be the same as the width of the window if the wi

den301095 [7]

Answer:

$Width =2m$

Step-by-step explanation:

Given

$Width = 200cm$ ---Window

Required

Determine the width of the curtain in meters

From the question, we understand that the window and the curtain has the same width.

Hence:

$Width = 200cm$ ---- Curtain

Divide by 100 to convert to meters

$Width = \frac{200m}{100}$

$Width =2m$

<em>Hence, the width of the curtain is 2m</em>

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3 years ago

Solve the system of equations: y = 2x – 8 and y = -2x - 8

nexus9112 [7]

Answer:

Step-by-step explanation:

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3 years ago

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