First markdown: 0.75($500) = $375
Second markdown: 0.75($375) = $281.25
Third markdown: 0.75($281.25) = $210.94
5.8375 is how many times 80 goes into 467
Answer:
c. 42 miles per day
Step-by-step explanation:
From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:
3 days → 126 miles
1 day → x
x=(1*126)/3=42 miles
According to this, the answer is that Kendra swims 42 miles per day.
Answer:
Actual area = 21600 Sq.miles
Step-by-step explanation:
We are given;
length; L = 4 inches
Width; W = 6 inches
The scale of the map; 1 inch for every 30 miles i.e. 1 : 30
Since the scale is 1:30, let's find the find the actual dimensions and then the actual area
For the Length,
Since 1 inch represents 30 miles,
Then, 4 inches = (4 × 30)/1 = 120 miles
For the width;
Since 1 inch represents 30 miles,
Then,6 inches = (6 × 30)/1 = 180 miles
Therefore, the actual dimensions are 120 miles and 180 miles
Now, formula for area of rectangle = length × width
Thus;
Actual area = 120 × 180
Actual area = 21600 Sq.miles
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.
