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olga nikolaevna [1]
3 years ago
5

Please help me out I know that supplimentary angles have to equal 180 but I have no idea how to solve for x since they didnt giv

e us any angles

Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

13x + 2 = 12x + 8

13x - 12x = 8 - 2

x = 6

Crazy boy [7]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

13x + 2 = 12x + 8

Because of:

1) Corresponding angles

2) Vertically opposite angles

13x + 2 = 12x + 8

13x - 12x = 8 - 2

x = 6

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Answer:x=17

Step-by-step explanation:

Set 6x+5+5x-12 equal to 180

Simplify into 11x-7=180

Add 7 to both sides to get 11x=187

Divide both sides by 11 to get x=17

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51/6 = 51/6

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The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

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P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
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