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ra1l [238]
3 years ago
13

Find the unknown angle measure by solving for the given variable.

Mathematics
1 answer:
MrRa [10]3 years ago
4 0

A triangle is 180°. So you can do:

3.2n + 6.4n + 2.4n = 180   Simplify

12n = 180

n = 15   Now that you know the value of n, you can plug it into each individual angle/equation

∠X = 3.2n    plug in 15 for n

∠X = 3.2(15)

∠X = 48°

∠Y = 6.4(15)

∠Y = 96°

∠Z = 2.4(15)

∠Z = 36°

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Sung Lee invests $4,000 at age 18. He hopes the investment will be worth $16,000 when he turns 25. If the interest compounds con
irinina [24]

Answer:

The growth rate he needs to achieve his goal is approximatelly 19.8%

Step-by-step explanation:

Since the sum will be compounded continuously we have to use the appropriate formula given below:

M = C*e^(r*t)

Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:

16000 = 4000*e^(r*7)

4000*e^(7*r) = 16000

e^(7*r) = 16000/4000 = 4

ln[e^(7*r)] = ln(4)

7*r = ln(4)

r = ln(4)/7 = 0.198

The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.

4 0
3 years ago
Identify the oblique asymptote of f(x) = quantity x plus 4 over quantity 3 x squared plus 5 x minus 2.
faltersainse [42]
f(x) = \frac{x + 4}{3x^{2} + 5x - 2}

                     3x² + 5x - 2 = 0
                3x² + 6x - x - 2 = 0
3x(x) + 3x(2) - 1(x) - 1(2) = 0
          3x(x + 2) - 1(x + 2) = 0
                  (3x - 1)(x + 2) = 0
3x - 1 = 0       or       x + 2 = 0
    + 1 + 1                     - 2  - 2 
     3x = 1          or          x = -2
      3     3                       1     1
       x = ¹/₃         or         x = -2

      f(x) = 3x² + 5x - 2
     f(¹/₃) = 3(¹/₃)² + 5(¹/₃) - 2
     f(¹/₃) = 3(¹/₉) + 1²/₃ - 2
     f(¹/₃) = ¹/₃ - ¹/₃
     f(¹/₃) = 0
(x, f(x)) = (¹/₃, 0)

      f(x) = 3x² + 5x - 2
     f(-2) = 3(-2)² + 5(-2) - 2
     f(-2) = 3(4) - 10 - 2
     f(-2) = 12 - 12
     f(-2) = 0
(x, f(x)) = (-2, 0)

    Vertical Asymptotes: ¹/₃ or -2
Horizontal Asymptotes: 0
      Oblique Asymptote: No Asymptotes
3 0
3 years ago
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Answer:

A. a one-tailed paired t-test.

Step-by-step explanation:

3 0
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RideAnS [48]
It at the top all you had to do was divided bot ways you will get that answers

4 0
3 years ago
REALLY NEED HELP
artcher [175]

Answer:

Y=-5/3x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

3 0
3 years ago
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