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Andrew [12]
3 years ago
11

AB and BC are tangents. Find x.

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0

Answer:

x=74

Step-by-step explanation:

If two tangent segments are drawn from the same external point, then the segments are equal.

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Find the accumulated amount of the annuity. (Round your answer to the nearest cent.) $1000 monthly at 4.6% for 20 years.
pantera1 [17]

Answer:

Accumulated amount will be $2504.90.

Step-by-step explanation:

Formula that represents the accumulated amount after t years is

A = A_{0}(1+\frac{r}{n})^{nt}

Where A = Accumulated amount

A_{0} = Initial amount

r = rate of interest

n = number of times initial amount compounded in a year

t = duration of investment in years

Now the values given in this question are

A_{0} = $1000

n = 12

r = 4.6% = 0.046

t = 20 years

By putting values in the formula

A = 1000(1+\frac{0.046}{12})^{240}

  = 1000(1+0.003833)^{240}

  = 1000(1.003833)^{240}

  = 1000×2.50488

  = 2504.88 ≈ $2504.90

Therefore, accumulated amount will be $2504.90.

8 0
3 years ago
What is the solution to the system of equations?<br><br> I will mark the brainliest answer
Stolb23 [73]
Ok so let us label our equations first
1- 3x+2y+z=7
2- 5x+5y+4z=3
3- 3x+2y+3z=1
subtracting equation 3 from equation 1
3x+2y+3z=1
(-). 3x+2y+z= 7
----------------------
2z=-6----->z=-3
since we already chose equation 1 and 3 we must involve equation 2
substituting the value if z in the second equation
5x+5y-12=3
5x+5y=15
choosing either the first or the third
3x+2y-3=7
3x+2y=10
solving the system
5x+5y=15
3x+2y=10
multipling the first equation by 2 and the second equation by 5
10x+10y=30
15x+10y=50
subtracting the two equations
-5x=-20--->x=4 substituting for the value of x
40+10y=30--->10y=-10y--->y=-1
so our soultion is x=4,y=-1,z==-3 or (4,-1,-3)








3 0
4 years ago
Need help with math problems<br> 6(x + 4) = 36
Andrew [12]
The answer for the quest is x=2
6 0
3 years ago
Read 2 more answers
HELPP
Diano4ka-milaya [45]

Answer:

B i think

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the area of triangle ABC if a = 7, c = 11, and B = 100°?
Dahasolnce [82]

Answer:

7/11

Step-by-step explanation:

5 0
2 years ago
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