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(2) Determine k such that kx^2 - 4x + 1/2=0 has real and different solutions. (3) (i) What rate of interest compounded annually is needed to make an investment of $6,500 accumulate to an amount of $7166.25 at the end of two years? (ii) How long will it take for the initial amount to double, compounded annually at the rate in (i) above?
(3) Showing all your working, find the solution set which describes the area shown in green below. Problem Set: D (1) State the appropriate formulae used in solving parts (i) and (ii) of this question then demonstrate the use of the formulae in finding your answers. (i) Determine how many rows are in the corner section of a stadium containing 3920 seats if the first row has 10 seats and each successive row has 6 additional seats? (ii) A new machine was purchased for $45,000. For tax purposes, the company depreciates the value by 5% annually. Determine the value of the machine after 7 years of use?
Consider the following procedure: Pick a number. Add 6 to the number. Multiply the sum by 2. Subtract 12 from the product. Divide the difference by 2. Suppose we pick -8, then what is the resulting number?
Show that,
- lim z->infinity (𝑎𝑧+𝑏) 3/(𝑧+𝑑)3
- lim z->1 (1−z bar)/(1−z) does not exist
Cheney is ordering pizza for her birthday party breadsticks cost $4.99 and large pizzas cost at $10.99 write an expression to represent the total cost for her party using beef or breadsticks and P for pizzas
Alex has 100 friends on Snapchat his goal is to add five new friends a day a) write an expression that represents his total number of friends make sure to define your variable b) solve your expression for the total number of friends he will have after 10 days
The band is selling raffle tickets as a fundraiser if the tickets are two dollars each write an expression that represents how much they will make if they sell t tickets
An element with mass 420 grams decays by 11.8% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?
A painting crew can paint a structure in 12 hr or in 7.2 Jr when working with a second crew. How long would it take the second crew to do the job if working alone
the demand curve for a swivel chair is given by p = 4000(3-q) dollars per swivel chair, where p is the price and q is the quantity, in thousands of swivel chair, demanded at that price. what quantity will be demanded if the price per swivel chair is $256.60?
