1) a saloon car priced at $25000 is increased by 5%. what is the new price? 2) a shop is having a sale of computers. if a computer priced at $800 is reduced by 20%, what is the sale price? 3) a farmer produced 8000 tonnes of grain last year. he plans to increase this by 15% next year. how many tonnes does he think he will produce?
4) a winter coat is priced at $250 but is discounted by 15% in a sale. what is the sale price?
5) a builder charges $2000 plus 15% tax to fit a new kitchen. what is the total price of fitting the kitchen?
6) a family sees the kitchen they want priced at $7200 but it is offered at a discount of 40% in a sale. what is the sale price?

1)  $26,250

2) $640

3) 9200

4) $212.50

5) $2300

6) $4320

Step-by-step explanation:

To increase a value:

convert the percent into decimal by dividing by 100.  Add this to 1.  Multiply this by the original value.

To decrease a value:

convert the percent into decimal by dividing by 100.  Subtract this from 1. Mulitply this by the original value

1) 25000 x 1.05 = $26,250

2) 800 x 0.8 = $640

3) 8000 x 1.15 = 9200

4) 250 x 0.85 = $212.50

5) 2000 x 1.15 = $2300

6) 7200 x 0.6 = $4320

1) 100x/100= 2625000/100= 26250

2) 100x/100= 64000/100= 640

3) 100x/100= 920000/100= 9200

4) 100x/100= 21250/100= 212.5

5) 100x/100= 230000/100= 2300

6) 100x/100= 432000/100= 4320

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).