Question

If an iPhone costs $800, how much should it be sold for to make a profit of 35%? 2. At a clearance sale, Jill got 70% off a silver bracelet. If she paid the cashier $27, what was the original price of the bracelet? 3. A piece of rope measuring 36 m is divided into 2 parts in the ratio 1:3. What is the length of the longer piece?4. The Cash price of a new bed is $1500. On Hire Purchase the price includes a deposit of $300 plus 15 installments of $90 each. What is the difference between the Cash price and the Hire Purchase price? 5. A rectangle measures 4 cm by 9 cm. A square has sides of 6 cm. Which statement is true?6. Given that E = {even number less than 16} and P = {1,4,9,16, 25}, then the intersection of E and P=........7. The heights of 5 girls in feet: 4.5, 5, 5.2, 3 and 4.3. What is the mean height? 8. Jeremy and Josia share a some of money in the ratio 3:4. If Josia got $240, how much did Jeremy get? 9. Given that a = 3, b = -2 and c = 4; determine the value of 5ac - 3b.10. What is perimeter of a rhombus with sides of 10 cm and height 6 cm? 11. Kerry's basic work week is 40 hours for which she is paid $8 per hour. She receives $12 per hour for any overtime worked. What is her gross wage if she works 48 hours for the week? 12. A tortilla chip forms an isosceles triangle with a perimeter of 12 cm. Which of the following are possible lengths for the sides of the tortilla chip?13. 300 marbles are divided in the ratio 1:2:3. What is the difference between the smallest and the largest share?14. 4.75 - 3.95 as vulgar fraction is.....

Answer 1

The iPhone should be sold for $1080 to make a 35% profit. Jill's bracelet originally cost $90 before a 70% discount. The longer piece of rope measures 27 m, the difference between the Hire Purchase and Cash price of a bed is $150, and the statement that the square and rectangle have the same area is true.

Step-by-step explanation:

Calculating Profit, Discounts, Ratios, and Conversions

To calculate the selling price of an iPhone for a 35% profit, first find the profit amount by multiplying $800 by 0.35, which is $280. Then, add this to the original price: $800 + $280 = $1080.

To find the original price of Jill's bracelet on which she got a 70% discount and paid $27, divide $27 by 0.30 (since she paid 30% of the price). This equals $90.

For the rope divided in the ratio 1:3, the longer piece measures 3 parts out of a total of 4 parts. Calculate the length by multiplying 36 m by 3/4, resulting in 27 m.

The Hire Purchase price equals the deposit plus the sum of all installments: $300 + (15 × $90) = $1650. To find the difference between this and the cash price, subtract $1500 from $1650, yielding $150.

To compare a rectangle with a square, we see that the rectangle's area (4 cm × 9 cm) is 36 cm² and the square's area (6 cm × 6 cm) is also 36 cm². Therefore, the statement that both shapes have the same area is true.