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iren [92.7K]
2 years ago
15

Abi takes a job with a starting salary of $100,000 for the first year. She earns a 3% increase each year. To the nearest dollar,

how much does Abi make over the first six years?
Mathematics
2 answers:
miss Akunina [59]2 years ago
8 0

Answer:$646,841

Step-by-step explanation:explanation: I just took the edge quiz this is the answer

BabaBlast [244]2 years ago
3 0

Answer:

c

Step-by-step explanation:

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The following triangles are similar. True or False.
monitta

Answer:

It would be true

4 0
2 years ago
Can someone help me with this question on Prodigy? ​
lions [1.4K]

Answer:

  8 +(3/8)√53 in² ≈ 10.73 in²

Step-by-step explanation:

Given the net of a triangular pyramid with some of the dimensions filled in, you want to find the total surface area.

<h3>Triangle base</h3>

The triangle bases identified by dashed lines will have a length equal to the hypotenuse of the right triangles with legs shown as solid lines. The legs of each of those right triangles are ...

  a = (3 in)/2 = 1.5 in

  b = 2 in . . . . . . shown as the altitude of the triangle

Then the hypotenuse is found using the Pythagorean theorem:

  c² = a² +b²

  c² = 1.5² +2² = 2.25 +4 = 6.25

  c = √6.25 = 2.5

The dashed lines are 2.5 inches long.

<h3>Triangle altitude</h3>

The altitude from the solid horizontal line to the vertex at the bottom of the figure can be found using the fact that all of the outside edge lengths of the net are the same length. That edge length is found as the length of the hypotenuse of the right triangles in the left- and right-sides of the upper portion of the net. Each of those has a leg that is (2.5 in)/2 = 1.25 in and a leg marked as 2 in.

  c² = a² +b²

  c² = 1.25² +2² = 1.5625 +4 = 5.5625

  c = (√89)/4 ≈ 2.358 . . . in

The unmarked altitude of the bottom triangle is then ...

  b² = c² -a²

  b² = 89/16 -1.5² = 53/16

  b = (√53)/4 ≈ 1.820 . . . in

<h3>Surface area</h3>

The surface area of the figure is the sum of the areas of the four triangles that make up the net. Each triangle has an area given by the formula ...

  A = 1/2bh

The left and right triangles have b=2.5, h=2, so they each have an area of ...

  A = 1/2(2.5)(2) = 2.5 . . . . in²

The center triangle has dimensions of b=3, h=2, so an area of ...

  A = 1/2(3)(2) = 3 . . . . in²

The bottom triangle has dimensions of b=3, h=(√53)/4, so an area of ...

  A = 1/2(3)(√53/4) = (3/8)√53 ≈ 2.730 . . . . in²

The total surface area is the sum of the areas of these triangles, so is ...

  A = 2.5 in² +2.5 in² +3 in² +2.73 in² = 10.73 in²

The surface area of the triangular pyramid is (64+3√53)/8 ≈ 10.73 in².

__

<em>Additional comment</em>

Often we work with pyramids that are rotationally symmetrical about a vertical line through the peak. This one is not. The altitude of the bottom triangle in the net is less than the altitude of the other triangles. This short face of the pyramid will tend to be more vertical than the other two lateral faces.

4 0
1 year ago
Help please me!!!!!!!!!!!
AlexFokin [52]
D:  We solve this in exactly the same way in which we solved the previous area problem.  Side length is s, area is s^2.  Here, side length is 5 in; area is 25 in^2.
the problem does say, however, not to include units in your answer.  Thus, just write "25."
5 0
3 years ago
Read 2 more answers
5 6 7 8 9 10
lisabon 2012 [21]

Answer:

(x-a)(y-b)=r²

(x-(-3))(y-(-5))=r²

(x+3)2(y+5)2=36

3 0
3 years ago
Solve the following equation for x using the natural logarithm
labwork [276]
Use log rule
log(ab) = log a + log b

Take log of both sides:
ln 4 + ln 4^x = ln 10 + ln e^{-x}

Use log rule
log(a^n) = n*log(a)

ln 4 + xln 4 = ln 10 -xln e \\  \\ ln 4 + xln 4 = ln 10 -x \\  \\ x ln 4+x = ln 10 - ln 4 \\  \\ x(ln 4 +1) = ln 10 -ln 4 \\  \\ x = \frac{ln 10 - ln 4}{ln 4 +1}
5 0
3 years ago
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