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astra-53 [7]
3 years ago
12

Need help with this math

Mathematics
1 answer:
serg [7]3 years ago
5 0

we use the interest formula. 4000*1.03^11=1.38423387*4000=5536.93548, or 5536.94.

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Solve the following congruence equations for X a) 8x = 1(mod 13) b) 8x = 4(mod 13) c) 99x = 5(mod 13)
xxMikexx [17]

Answer:

a) 5+13k  where k is integer

b) 20+13k where k is integer

c)12+13k where k is integer

Step-by-step explanation:

(a)

8x \equiv 1 (mod 13) \text{ means } 8x-1=13k.

8x-1=13k

Subtract 13k on both sides:

8x-13k-1=0

Add 1 on both sides:

8x-13k=1

I'm going to use Euclidean Algorithm.

13=8(1)+5

8=5(1)+3

5=3(1)+2

3=2(1)+1

Now backwards through the equations:

3-2=1

3-(5-3)=1

3-5+3=1

(8-5)-5+(8-5)=1

2(8)-3(5)=1

2(8)-3(13-8)=1

5(8)-3(13)=1

So compare this to:

8x-13k=1

We see that x is 5 while k is 3.

Anyways 5 is a solution or 5+13k is a solution where k is an integer.

b)

8x \equiv 4 (mod 13)

8x-4=13k

Subtract 13k on both sides:

8x-13k-4=0

Add 4 on both sides:

8x-13k=4

We got this from above:

5(8)-3(13)=1

If we multiply both sides by 4 we get:

8(20)-13(12)=4

So x=20 and 20+13k is also a solution where k is an integer.

c)

[tex]99x \equiv 5 (mod 13)[/tex

99x-5=13k

Subtract 13k on both sides:

99x-13k-5=0

Add 5 on both sides:

99x-13k=5

Using Euclidean Algorithm:

99=13(7)+8

13=8(1)+5

Go back through the equations:

13-8=5

13-(99-13(7))=5

8(13)-99=5

99(-1)+8(13)=5

Compare this to 99x-13k=5 and see that x=-1 or -1+13=12 or 12+13k is a solution where k is an integer.

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2 years ago
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Help! Will mark brainliest!
miss Akunina [59]

Answer: a rise of 12 and a run of 7

Step-by-step explanation:

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2 years ago
The graph shows f(x) and its transformation g(x) . Which equation correctly models g(x) ?
Pani-rosa [81]

Answer: B. g(x)=3x-2-7

Hope this helps someone in the future. :D

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Find the surface area of the rectangular box below
REY [17]

Answer:

SA = 904 in.²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

  • l = 36 in.
  • w = 10 in.
  • h = 2 in.

Substitute the given values and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(36)(10) + 2(10)(2) + 2(2)(36)

SA = 2(360) + 2(20) + 2(72)

SA = 720 + 40 + 144

SA = 904 in.²

Hope this helps!

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HELP PLEASE BRAINLIEST!
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A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship. You can tell this because the line passes directly through the origin (0,0). It also says that it is a straight line that passes through the points, so most likely the line will contain points that have a proportional relationship. Hope that helps :)
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3 years ago
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