Converting the following decimals to percentages: 0.17 and 0.038
Solution:
0.17 × 100% = 17%. Ans.
0.038 × 100% 3.8%. Ans.

Converting the following percentages to decimals:
9.26 %, and 0.54 %.
Solution:
9.26% / 100 = 0.0926. Ans.
0.54% / 100 = 0.0054. Ans.

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%.

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.

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.