Lines CD and DE are tangent to circle A shown below: If Arc CE is 112°, what is the measure of ∠CDE? a 124° b 136° c 68° d 56°
1 answer:
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The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.
<h3>Find the radius of convergence R and the interval of convergence:</h3>Ratio test is the test that is used to find the convergence of the given power series.
First aₙ is noted and then aₙ₊₁ is noted.
For ∑ aₙ, aₙ and aₙ₊₁ is noted.
= β
- If β < 1, then the series converges
- If β > 1, then the series diverges
- If β = 1, then the series inconclusive
Here =
and
=
Now limit is taken,
=
=
=
=
= < 1
- 1 < < 1
- 1 - 2 < x < 1 - 2
- 3 < x < - 1
We get that,
interval of convergence = (-3, -1)
radius of convergence R = 1
Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.
Learn more about radius of convergence here:
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Answer: 50%
Step-by-step explanation:
Let x = Total dishes.
Dishes from China =
Dishes from Japan =
Total dishes from China and Japan =
Dishes from other countries
Percent of dishes from other countries=
Hence, dishes from other countries = 50%
Answer:
$4,499.46
Step-by-step explanation:
We can use the compound interest formula for this problem:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, lets change 4% into a decimal:
4% -> -> 0.04
Now lets plug the values into the equation as shown below:
Don will have $4,499.46 at the end of the three years.