Math / Numbers & Operations

QuestionSubmit All Parts Question 5 0/6 pts 5 9 Details
A software company is raising the prices on all of its products to increase revenue. For each price change described below, do the following: i. State the percent change in the price. ii. State the number we can multiply the original price by to determine the new price. iii. Determine the new price (in dollars). a. Software A: The original price was $\$ 265$ and the price increases by $5 \%$ . a. $\square$ \% b. $\square$ c. \\square $b. Software B: The original price was$ \ $46$ and the price increases by $12 \%$ . a. $\square$ \% b. $\square$ c. \\square$ Submit All Parts

Studdy Solution

STEP 1

What is this asking? We need to figure out the new prices of two software products after a price increase, and also show how we got there. Watch out! Don't forget that a percent increase means we're adding to the original price, not replacing it!

STEP 2

1. Tackle Software A
2. Tackle Software B

STEP 3

Alright, Software A originally cost $\$265$ and they're bumping the price up by 5%.
Let's break this down!

STEP 4

First, the percent change is simply the given 5% increase.
Easy peasy!

STEP 5

Next, to find the multiplier, remember that a 5% increase means we're adding 5% of the original price to the original price.
Think of it this way: 100% of the price plus 5% of the price gives us 105% total.
As a decimal, that's 1.05.
So, multiplying by 1.05 gives us the new price.

STEP 6

Now, calculate the new price: Take the original price $\$265$ and multiply it by our multiplier, which is 1.05. $\$265 \cdot 1.05 = \$278.25$ The new price is $\$278.25$ !

STEP 7

Time for Software B!
The original price is $\$46$ and it's getting a 12% price hike.

STEP 8

The percent change is a straight-up 12% increase.

STEP 9

For the multiplier, we're adding 12% of the original price to 100% of the original price.
That's 100% + 12% = 112%, or 1.12 as a decimal.

STEP 10

Finally, calculate the new price: Multiply the original price $\$46$ by our multiplier, 1.12. $\$46 \cdot 1.12 = \$51.52$ The new price is $\$51.52$ !

STEP 11

Software A: a. 5% b. 1.05 c. \$278.25
Software B: a. 12% b. 1.12 c. \$51.52

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Studdy Solution

STEP 1

What is this asking? We need to figure out the new prices of two software products after a price increase, and also show how we got there. Watch out! Don't forget that a percent increase means we're adding to the original price, not replacing it!

STEP 2

1. Tackle Software A
2. Tackle Software B

STEP 3

Alright, Software A originally cost $\$265$ and they're bumping the price up by 5%.
Let's break this down!

STEP 4

First, the percent change is simply the given 5% increase.
Easy peasy!

STEP 5

Next, to find the multiplier, remember that a 5% increase means we're adding 5% of the original price to the original price.
Think of it this way: 100% of the price plus 5% of the price gives us 105% total.
As a decimal, that's 1.05.
So, multiplying by 1.05 gives us the new price.

STEP 6

Now, calculate the new price: Take the original price $\$265$ and multiply it by our multiplier, which is 1.05. $\$265 \cdot 1.05 = \$278.25$ The new price is $\$278.25$ !

STEP 7

Time for Software B!
The original price is $\$46$ and it's getting a 12% price hike.

STEP 8

The percent change is a straight-up 12% increase.

STEP 9

For the multiplier, we're adding 12% of the original price to 100% of the original price.
That's 100% + 12% = 112%, or 1.12 as a decimal.

STEP 10

Finally, calculate the new price: Multiply the original price $\$46$ by our multiplier, 1.12. $\$46 \cdot 1.12 = \$51.52$ The new price is $\$51.52$ !

STEP 11

Software A: a. 5% b. 1.05 c. \$278.25
Software B: a. 12% b. 1.12 c. \$51.52

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Studdy Solution

STEP 1

What is this asking? We need to figure out the new prices of two software products after a price increase, and also show how we got there. Watch out! Don't forget that a percent increase means we're adding to the original price, not replacing it!

STEP 2

1. Tackle Software A2. Tackle Software B

STEP 3

Alright, Software A originally cost $265\$265$265 and they're bumping the price up by **5%**.Let's break this down!

STEP 4

First, the **percent change** is simply the given **5%** increase.Easy peasy!

STEP 5

Next, to find the **multiplier**, remember that a 5% increase means we're adding 5% of the original price *to* the original price.Think of it this way: 100% of the price plus 5% of the price gives us 105% total.As a decimal, that's **1.05**.So, multiplying by **1.05** gives us the new price.

STEP 6

Now, **calculate the new price**: Take the original price $265\$265$265 and multiply it by our **multiplier**, which is **1.05**. $265⋅1.05=$278.25 \$265 \cdot 1.05 = \$278.25 $265⋅1.05=$278.25 The new price is $278.25\$278.25$278.25!

STEP 7

Time for Software B!The original price is $46\$46$46 and it's getting a **12%** price hike.

STEP 8

The **percent change** is a straight-up **12%** increase.

STEP 9

For the **multiplier**, we're adding 12% of the original price to 100% of the original price.That's 100% + 12% = 112%, or **1.12** as a decimal.

STEP 10

Finally, **calculate the new price**: Multiply the original price $46\$46$46 by our **multiplier**, **1.12**. $46⋅1.12=$51.52 \$46 \cdot 1.12 = \$51.52 $46⋅1.12=$51.52 The new price is $51.52\$51.52$51.52!

STEP 11

Software A: a. 5% b. 1.05 c. \$278.25Software B: a. 12% b. 1.12 c. \$51.52

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Tackle Software A
2. Tackle Software B

Alright, Software A originally cost $\$265$ and they're bumping the price up by 5%.
Let's break this down!

First, the percent change is simply the given 5% increase.
Easy peasy!

Next, to find the multiplier, remember that a 5% increase means we're adding 5% of the original price to the original price.
Think of it this way: 100% of the price plus 5% of the price gives us 105% total.
As a decimal, that's 1.05.
So, multiplying by 1.05 gives us the new price.

Now, calculate the new price: Take the original price $\$265$ and multiply it by our multiplier, which is 1.05. $\$265 \cdot 1.05 = \$278.25$ The new price is $\$278.25$ !

Time for Software B!
The original price is $\$46$ and it's getting a 12% price hike.

The percent change is a straight-up 12% increase.

For the multiplier, we're adding 12% of the original price to 100% of the original price.
That's 100% + 12% = 112%, or 1.12 as a decimal.

Finally, calculate the new price: Multiply the original price $\$46$ by our multiplier, 1.12. $\$46 \cdot 1.12 = \$51.52$ The new price is $\$51.52$ !

Software A: a. 5% b. 1.05 c. \$278.25
Software B: a. 12% b. 1.12 c. \$51.52