we know that
triangles BCD and ACE are similar
so, their ratios of sides must be equal
Calculation of y:
we can see that
AC=AB+BC
AC=y+3
CE=CD+DE
CE=4+6
CE=10
now, we can plug values
now, we can solve for y
Calculation of AC:
we know that
AC=y+3
we can plug y
and we get
...................Answer
Hi there! The formula for finding the slope is y2 - y1/ x2 - x1. This means you subtract the first x and y-coordinates form the second x and y-coordinates. (-4.1, 7.4) is the first coordinate and (4.3, 3.2) is the second coordiante. Set it up like this:
3.2 - 7.4 / 4.3 - (-4.1)
Now, let's subtract. 3.2 - 7.4 is -4.2. 4.3 - (-4.1) is 9.4. -4.2/9.4 is -0.5 when simplified. There. The slope of the line is -0.5. The answer is C: -0.5.
Note: When you subtract a negative number, you're actually adding. So if an expression is 2 - (-3), the answer is 5, because you add 3 into 2.
The NPV of this investment if the discount rate is 10 percent is: 1.58%.
<h3>Net present value (NPV)</h3>
Year Cash flow PVIF 10% Present value
0 ($11.86) 1.000 ($11.86)
1 1.90 0.909 $1.73
2 1.90 0.826 $1.57
3 1.90 0.751 $1.43
4 1.90 0.683 $1.30
5 1.90 0.621 $1.18
6 1.90 0.564 $1.07
7 1.90 0.513 $0.98
8 1.90 0.467 $0.89
9 1.90 0.424 $0.81
10 6.45 0.386 $2.49
NPV $1.58
1.9+5.25-2×35%=6.45
Hence, the NPV is $1.58.
Learn more about NPV here:brainly.com/question/17185385
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Step-by-step explanation:
yes because 61 is less than 87
-- The probability of rolling a 22 is zero. That result is impossible, because the sides are labeled with single digits 1 through 6 . Since 22 is not printed anywhere on the cube, it can never come up.
-- The probability of rolling a<em> 2</em> , however, is <em> 1/6</em> . <em>(B)</em>
<em></em>
The -probability of rolling something you want is always
<em>(the number of different possible results that you like) </em>
divided by
<em>(the total number of different possible results)</em>
