Question:

Answer:


Step-by-step explanation:
Given

Required
Simplify
In trigonometry:

So, the expression becomes:

Simplify the denominator




Express the fraction as:





Rationalize



In trigonometry:

Hence:


Answer:
14.286% savings
Step-by-step explanation:
299.99 / 349.99 = 0.8571..
1-0.8571= 14.286
Answer:
x = (2600/4000) × 100%
x = 0.65 × 100%
x = 65%
Step-by-step explanation:
The percentage equation that can be used to find the percent of books that are fiction can only be found where the number of fiction books is known and the total number of books available is known as well.
Given;
Number of fiction books = 2,600
Number of books = 4,000
let the percent of books that are fiction be x
x = (2600/4000) × 100%
x = 0.65 × 100%
x = 65%
Answer:
Number of children = x = 88
Number of Adults = y = 252
Step-by-step explanation:
Let us represent:
Number of children = x
Number of Adults = y
On a certain hot summer's day, 340 people used the public swimming pool.
Hence:
x + y = 340..... Equation 1
x = 340 - y
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.
$1.25 × x + $2.25 × y =$ 677
1.25x + 2.25y = 677..... Equation 2
Let us substitute: 340 - y for x in Equation 2
1.25(340 - y) + 2.25y = 677
= 425 - 1.25y + 2.25y = 677
Collect like terms
- 1.25y + 2.25y = 677 - 425
1y = 252
y = 252
Solving for x
x = 340 - y
x = 340 - 252
x = 88
Therefore the number of children and adults that swam at the public pool that day are: 88 children and 252 Adults.e
I will get you started.
Car Problem:
10,750(0.059) = 634.25
Year 1:
10,750 - 634.25 = 10,115.75
The price of the car after year one at 0.059 is $10,115.75.
Continue the same pattern for the remaining 9 years.
Population Problem:
17, 724(0.02) = 354.48
For Year 1:
17,724 + 354.48 = 18,078.48
Continue the same pattern for the remaining 18 years. Use your calculator.