Time to lock in
Solve this equation:
(2k-1)/5=k
k=-1/3
Evaluate the expression sqrt(z+x^2y) given x=-4 , y=2 and z=32
8
Water is flowing out of a tap at a rate of 9 mL/second. What is the equivalent rate of flow in L/hour?
32.4 L/hour
At a manufacturing plant, every 5th bottle on the conveyor belt is tested to make sure it meets the required standards. What sampling process is being carried out?
Systematic
Convert 5.3 hectares to cm2
530 000 000 cm2
A circular section of land of diameter 2.05 km is proposed for a development site. What is the area of this section of land in m2? Answer in scientific notation, rounded to 2 significant figures.
2.1 xx 10^6
Two companies are selling the same brand of tyre for the same price, and offer the following discounts on a set of 4 new tyres:
Company A: 'Buy 3 tyres and get the 4th one free.'
Company B: '20% off the total cost of four tyres purchased.'
Which company offers the best discount on the purchase of 4 new tyres?
Company A
City P has a UTC of +4 and City Q has a UTC of +11. It is currently 6:00am local time in City Q when a plane departs for City P. The flight time is 12 hours. At what local time in City P is the plane expected to land?
11:00 am
A luxury car was imported from overseas by a buyer in Australia. The car was manufactured for a cost of $90 000. When the car arrived in Australia, the buyer had to pay a total of $112 700 for the car, which included a range of taxes which included the Australian Customs Duty, GST and Stamp Duty. Approximately what percentage of the manufacturing cost did the buyer pay in taxes after importing the car? Answer as a whole number.
25%
City J has coordinates (40^@N,75^@W)
What are the coordinates of City K, located on the same latitude as City J, and 90^@ East of City J?
(40^@N, 15^@E)
Audrey bought a laptop priced at $1540. She paid a 10% deposit and made monthly repayments of $52.30 for 3 years. How much more, as a percentage, did Audrey pay for her laptop? Round your answer to the nearest whole number.
32%
The time-and-a-half rate paid to employees of a company is $72 per hour. Melanie is an employee of this company and was paid $1560 last week, which included 5 hours paid at the time-and-a-half rate. How many hours did Melanie work at the normal rate last week?
25 hours
A musical instrument store gives a 10% discount off the original price of any instrument purchased. During a back-to-school sale, the store offers a further 15% discount off the already reduced price for students. Otto is a member of his school ensemble and pays $306 for a guitar at this store during the back-to-school sale period. What was the original price of the guitar?
$400
The maximum Age Pension payment for a person is $1200.90 per fortnight. Telly earns $290 per fortnight from part-time work. His pension is reduced by 50 cents for each dollar earned over $218 per fortnight. Find Telly's total fortnightly income, including his Age Pension.
$1454.90
Dipsy wants to buy a new car costing $35720. She pays a deposit of 5% and monthly instalments of $920 over four years. How much extra does Dipsy pay compared to the listed price?
$10 226
Emily starts a business selling bracelets online. She estimates that the most she can sell the bracelets for is $50 each. The online seller she uses will take 5% of her sale price in commission. To make 15 bracelets, the materials will cost her $500. Emily can make 3 bracelets an hour, but each bracelet will also take 10 minutes to pack and send. What is the maximum profit Emily can earn per hour for making and selling her bracelets online?
$28.34 per hour
Mimi is a real estate agent who earns commission for selling houses based on the following sliding scale:
2% for the first $850 000 of the sale price
1.8% on the next $550 000 of the sale price
1.5% on any value left after
She is also paid a weekly retainer. In one year, she sold a house worth $1 550 000 and another house worth $980 000. If Mimi earned $63 414 in that year, calculate her weekly retainer.
$287
The cost of catering varies directly with the number of guests. It costs $4800 to cater for 120 guests. How many guests can be catered for $2680?
67 guests
Bandit's reaction time increases from 1.3 seconds to 3.2 seconds when reading a text message while driving. Find the increase in the reaction-time distance of a car travelling at 60 km/h when the driver is reading a text message, correct to the nearest metre.
32 metres
Tubby's weekly pay is $1150 and he receives 17.5% holiday loading on his four weeks of leave. Tubby is taking four weeks of annual leave to complete home renovations costing $6500. While on leave, he has weekly expenses of $271.25. He has saved $1800 and plans to use his leave pay to cover the remaining cost. What is the difference between Tubby's income and expenses for the four weeks?
$380