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Thepotemich [5.8K]
3 years ago
11

Identify the values of P, r ,and n in the expression P(1 + r/n)^nt based on the verbal description of the Emma's situation. Then

, substitute those values into the formula to form an expression in terms of time.
​
Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

300(1.0125)^12t

Step-by-step explanation:

P=300

R=0.15

N=12

substitute them into the equation P(1+r/n)^nt and then simplify the equation. The answer should be 300(1.0125)^12t

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Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula [ BLANK ] The value of f(-1) is [BLANK
lesantik [10]
Answers:
The formula is [f(-1)-f(-4)]/[3]
The value of f(-1) is 3
The value of f(-4) is -3
The average rate of change is 2

==============================================

Explanation:

For the first blank, we use the formula
[ f(b) - f(a) ]/[ b - a ]
where 'a' and 'b' are the endpoints for the x interval

In this case, a = -4 and b = -1. When you plug those values into the formula above, you get...
[ f(b) - f(a) ]/[ b - a]
[ f(-1) - f(-4)]/[ -1 - (-4) ] 
[ f(-1) - f(-4)]/[ -1+4 ]
[ f(-1) - f(-4)]/[ 3 ]
which is why the answer is choice C for the first blank

-------------------------------------------

To compute the value of f(-1), we draw a vertical line through -1 on the x axis. This vertical line crosses the diagonal function graph at the point (-1,3). The y value of this point is what we want. Plugging in x = -1 leads to y = 3. This is why f(-1) = 3
If you want, you can draw a horizontal line through (-1,3) and you'll see it touching 3 on the y axis.

-------------------------------------------

Follow similar steps as above to compute f(-4). Draw a vertical line through x = -4 on the x axis. Mark the point where the vertical line crosses the diagonal line. This point is (-4,-3). Optionally draw a horizontal line over til you hit the y axis and you'll find that y = -3 corresponds to x = -4

This is why f(-4) = -3

-------------------------------------------

We'll use the last three sections to compute the average rate of change. Everything combines together building up to this moment.

From the first part, we had the formula
[ f(b) - f(a) ]/[ b - a ]
[ f(-1) - f(-4)]/[ 3 ]

We can replace the "f(-1)" with 3 since we found that f(-1) = 3
Similarly, f(-4) = -3 so we can replace the "f(-4)" with -3

Doing those replacements and simplifying leads to...

[ f(-1) - f(-4)]/[ 3 ]
[ 3 - (-3)]/[ 3 ]
[ 3 + 3]/[ 3 ]
6/3
2

So the average rate of change is 2

Note: because the entire graph is a straight line, the average rate of change for any interval a < x < b is going to be equal to the slope m. In this case, the slope of the line is m = 2/1 = 2. We move up 2 units each time we move to the right 1 unit along the diagonal line.

6 0
3 years ago
Pls help 98 points includes would be great for a correct answer pls and an explanation thx
Katyanochek1 [597]
I don't have an explanation but I have an answer 0.02
8 0
3 years ago
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How can you determine if a relation is a function?
Montano1993 [528]

Answer:

cause none of the x's will repeat

Step-by-step explanation:

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2 years ago
4. *Each pair of polygons is similar. Find the value of x.
torisob [31]

Step-by-step explanation:

since both objects and sides are similar, you can set each side equal, then you cross multiply, and do subtraction, then find x.

3 0
3 years ago
What is the value or x?
Romashka [77]

From the given figure

\cos x=\frac{XY}{XZ}

Since XY = 5.1 and XZ = 7.7, then

\cos x=\frac{5.1}{7.7}

To find x, use the inverse of cos

x=\cos ^{-1}(\frac{5.1}{7.7})

Use the calculator to find x

x=48.522

The answer is

4 0
1 year ago
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