A ball dropped from a certain height rises after bouncing to 2 ft. If this is 15%
of its original height, what is the height from which it was dropped?

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Asked 10/13/2010 9:03:39 PM

Updated 6/24/2023 12:44:15 AM

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Expert answered|ambrosio_09|Points 5|

Question|Rated good

Asked 10/13/2010 9:03:39 PM

Updated 6/24/2023 12:44:15 AM

1 Answer/Comment

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3

A ball dropped from a certain height rises after bouncing to 2 ft. If this is 15% of its original height, 13.33 feet is the height from which it was dropped.

Solution

Let's assume the original height from which the ball was dropped is represented by "h" feet.

According to the given information, after bouncing, the ball rises to 2 ft, which is 15% of its original height. We can set up the following equation to represent this relationship:

0.15h = 2

To find the value of "h," we can solve this equation:

h = 2 / 0.15

h 13.33 feet

Therefore, the ball was dropped from a height of approximately 13.33 feet.

A shop sells compact disks for $16 per piece. If each disk costs $9 to the shop owner. 77.78% profit percent does the shop owner earn.

Solution

To calculate the profit percentage, we need to determine the profit earned by the shop owner per CD and then calculate it as a percentage of the cost price.

Profit per CD = Selling price per CD - Cost price per CD

Profit per CD = $16 - $9

Profit per CD = $7

Now, let's calculate the profit percentage:

Profit percentage = (Profit per CD / Cost price per CD) * 100

Profit percentage = ($7 / $9) * 100

Profit percentage 77.78%

Therefore, the shop owner earns a profit of approximately 77.78%.

Solution

Let's assume the original height from which the ball was dropped is represented by "h" feet.

According to the given information, after bouncing, the ball rises to 2 ft, which is 15% of its original height. We can set up the following equation to represent this relationship:

0.15h = 2

To find the value of "h," we can solve this equation:

h = 2 / 0.15

h 13.33 feet

Therefore, the ball was dropped from a height of approximately 13.33 feet.

A shop sells compact disks for $16 per piece. If each disk costs $9 to the shop owner. 77.78% profit percent does the shop owner earn.

Solution

To calculate the profit percentage, we need to determine the profit earned by the shop owner per CD and then calculate it as a percentage of the cost price.

Profit per CD = Selling price per CD - Cost price per CD

Profit per CD = $16 - $9

Profit per CD = $7

Now, let's calculate the profit percentage:

Profit percentage = (Profit per CD / Cost price per CD) * 100

Profit percentage = ($7 / $9) * 100

Profit percentage 77.78%

Therefore, the shop owner earns a profit of approximately 77.78%.

Added 6/24/2023 12:44:15 AM

This answer has been confirmed as correct and helpful.

Convert the following decimals to percentages: 0.17 and 0.038 **Weegy:** 9.26% = 0.0926 **User:** Convert the following percentages to decimals: 9.26 %, and 0.54 %. **Weegy:** 0.17 = 17% and 0.038 = 3.8% (More)

Question

Expert Answered

Updated 10/28/2023 1:39:17 AM

1 Answer/Comment

Converting the following decimals to percentages: 0.17 and 0.038

Solution:

0.17 × 100% = 17%. Ans.

0.038 × 100% 3.8%. Ans.

Solution:

0.17 × 100% = 17%. Ans.

0.038 × 100% 3.8%. Ans.

Added 10/28/2023 1:39:17 AM

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Converting the following percentages to decimals:

9.26 %, and 0.54 %.

Solution:

9.26% / 100 = 0.0926. Ans.

0.54% / 100 = 0.0054. Ans.

9.26 %, and 0.54 %.

Solution:

9.26% / 100 = 0.0926. Ans.

0.54% / 100 = 0.0054. Ans.

Added 10/28/2023 1:41:36 AM

This answer has been confirmed as correct and helpful.

A computer company gives a discount of 10% off of the marked price on a new
piece of software. If it makes a profit of 11% on this sale, what percent does the
marked price exceed the cost price?

Question

Expert Answered

Updated 6/24/2023 12:43:21 AM

1 Answer/Comment

Let's assume the cost price of the software is represented by "C" dollars.

According to the given information, the computer company gives a discount of 10% off the marked price. This means the selling price (marked price after the discount) is 90% of the marked price.

Let's denote the marked price as "M" dollars. The selling price, after the 10% discount, is 90% of the marked price, which can be calculated as:

Selling price = M * (90/100) = 0.9M dollars

The company makes a profit of 11% on this sale, which means the profit is 11% of the cost price. The profit can be calculated as:

Profit = C * (11/100) = 0.11C dollars

We know that profit is equal to the difference between the selling price and the cost price:

Profit = Selling price - Cost price

Substituting the values we have:

0.11C = 0.9M - C

To find the percent by which the marked price exceeds the cost price, we can solve this equation for M - C and then express it as a percentage of the cost price:

0.11C + C = 0.9M

1.11C = 0.9M

M - C = M - (1.11C) 0.9M

Percentage = [(M - C) / C] * 100

Percentage [(0.9M) / C] * 100

Therefore, the marked price exceeds the cost price by approximately (0.9M / C) * 100 percent.

According to the given information, the computer company gives a discount of 10% off the marked price. This means the selling price (marked price after the discount) is 90% of the marked price.

Let's denote the marked price as "M" dollars. The selling price, after the 10% discount, is 90% of the marked price, which can be calculated as:

Selling price = M * (90/100) = 0.9M dollars

The company makes a profit of 11% on this sale, which means the profit is 11% of the cost price. The profit can be calculated as:

Profit = C * (11/100) = 0.11C dollars

We know that profit is equal to the difference between the selling price and the cost price:

Profit = Selling price - Cost price

Substituting the values we have:

0.11C = 0.9M - C

To find the percent by which the marked price exceeds the cost price, we can solve this equation for M - C and then express it as a percentage of the cost price:

0.11C + C = 0.9M

1.11C = 0.9M

M - C = M - (1.11C) 0.9M

Percentage = [(M - C) / C] * 100

Percentage [(0.9M) / C] * 100

Therefore, the marked price exceeds the cost price by approximately (0.9M / C) * 100 percent.

Added 6/24/2023 12:43:21 AM

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Richard took a loan of $10,000 at a simple interest rate of 4%. If he paid $1,600 in interest, how many years did it take him to pay back the loan?
**Weegy:** If it is 4% per annum then the total of what he has to pay would be $10,400. If he pays $1600 per year that would take him 6.5 years to pay. (More)

Question

Expert Answered

Updated 7/29/2023 1:32:16 AM

1 Answer/Comment

Solution:

Interest = Principal × Rate × Time

Where:

Interest = $1,600

Principal (Loan amount) = $10,000

Rate = 4% (0.04 as a decimal)

Time = Interest / (Principal × Rate)

Time = $1,600 / ($10,000 × 0.04)

Time = $1,600 / $400

Time = 4 years

So, it took Richard 4 years to pay back the loan.

Interest = Principal × Rate × Time

Where:

Interest = $1,600

Principal (Loan amount) = $10,000

Rate = 4% (0.04 as a decimal)

Time = Interest / (Principal × Rate)

Time = $1,600 / ($10,000 × 0.04)

Time = $1,600 / $400

Time = 4 years

So, it took Richard 4 years to pay back the loan.

Added 7/29/2023 1:24:49 AM

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2. The Leonard Family is having a family portrait done. They deiced on a family package which cost $1,645.00. They want to pay for it in full now, which save them 30%. How much will they save?
**Weegy:** They will save 30% * 1645 = $493.50 (More)

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Updated 115 days ago|7/15/2024 3:19:01 PM

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The value of a property declines every year by 5%. Presently, its value is $350,000. What will be its value 4 years from now?
**Weegy:** $280,000. Satisfied? Please click GOOD (More)

Question

Expert Answered

Updated 8/12/2019 11:58:15 AM

1 Answer/Comment

The value of a property declines every year by 5%. So each year worth 95% of previous year's value. Presently it's value is $350,000.

a[4] = 350000(.95)^4 = $297,271.30

a[4] = 350000(.95)^4 = $297,271.30

Added 8/12/2019 11:58:15 AM

This answer has been confirmed as correct and helpful.

Confirmed by Masamune [8/13/2019 7:19:38 AM]

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