The set of rental car rates making it more economical for Jamal than employing taxi services is outlined as A = {x | 0 ≤ x < 26} [where x represents dollars]. The step-by-step breakdown is as follows: Let the rental cost be $x per day. With Jamal's trip extending over 4 days, factoring in $24 for gas, and estimating taxi costs at around $128, an inequality emerges: 128 > 24 + 4x. Thus simplifying leads to 4x < 104 and consequently x < 26.
Effective interest rate = Daily interest rate = Annual interest rate/number of days per year
Annual interest rate = 11.1%
Days in a year = 365
Thus,
Effective interest rate = 11.1/365 = 0.03%.
Answer and explanation:
Algebra revolves around the fundamental idea of using letters known as variables to represent quantities, which allows for solving for unknown values. Essentially, algebra involves transitioning from what is known to what is unknown to ascertain those unknown results. For instance, if we know a specific item was purchased twice but we're unsure of its price, we can denote this unknown price as 2a or 2p, depending on the selected variable. If the total spending for those items is, say, $50, we can set up the equation 2a = $50, which leads us to find that the cost per item is $25.
Algebra can also manifest itself in expressions, commonly referred to as algebraic expressions, which can be incorporated into equations, such as the previously mentioned 2a = $50. These expressions may take forms like 2a + 3b, where a and b designate the costs of different products that were acquired in quantities of 2 and 3, respectively.
Upon reviewing the functions based on the tables, it is determined that (f - g)(x) is positive in the range of (–∞, 9).----------------------
For the
- subtractive
- function, we simply subtract the two functions, leading to:
It retains a
- positive
- value when f is greater than g, which means: f(x) > g(x).Being a linear function, one will be greater prior to the equality, while the other will take precedence afterward.
- They intersect at x = 9.
- If x < 9, then f(x) is greater than g(x), thus, (f - g)(x) remains positive, which indicates that the
- required interval is:(–∞, 9)
A related problem can be found at
In this scenario, the first step is to assign variables.
We define:
x: time measured in minutes
y: distance covered.
The equations formulated are as follows:
For Kathleen:
For Arnob:
At the moment Arnob meets Kathleen, we have:
Next, we isolate x.
We now have:
Answer:
Arnob takes a total of 75 minutes to catch up to Kathleen:
d. 75
