Answer:
the first one on the left closest to the question.
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Answer:
Exponential decay.
Step-by-step explanation:
You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.
From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.
The product of 5 and n is written as
.
Two less than this product is 
Answer:
The debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
Step-by-step explanation:
The assignment of how much is owed to the responsible party is the major reason of a proration.
For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.
Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67
Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63
Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29
Therefore, the debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
Answer:
check your commments
Step-by-step explanation: