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frosja888 [35]
1 year ago
12

State and prove De Moivre's theorem

Mathematics
1 answer:
Montano1993 [528]1 year ago
6 0

Answer:

assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and

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Use the Rule of 72 to solve. Manny has his money in a savings account earning 4.5% interest. How long it will take his money to
Snowcat [4.5K]
If Manny's initial money in the savings account is x, we are to calculate for the period in which Manny's money becomes 2x. The calculations are shown 
                                               2x = x (1.045)^n
Cancelling both x from the equation and the computing for value of n will give us an answer of 15.75 years. 
5 0
2 years ago
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A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
Black_prince [1.1K]
X - the number of sandwiches
y - the number of soups

x+y=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\times (-4.5) \\
7.75x+4.5y=113.5 \\ \\
-4.5x-4.5y=-81 \\
\underline{7.75x+4.5y=113.5} \\
7.75x-4.5x=113.5-81 \\
3.25x=32.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\div 3.25 \\
x=10

10 sandwiches were ordered. The answer is D.
6 0
3 years ago
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The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is
emmasim [6.3K]

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

 16:9                                                                      

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

46.8cm²

<u>Hope this help</u>s

6 0
2 years ago
As a salesperson, Jonathan is paid $50 per week plus 3% of the total amount he sells. This week, he wants to earn at least $100.
Murljashka [212]

Answer:

50+0.03x\geq 100

Step-by-step explanation:

All you need to do is look at the numbers given in the word problem and convert them to algebraic terms.

5 0
3 years ago
How many minutes are there in 2 3/5 hours
mars1129 [50]

156 minutes.

To find this, remember that an hour has sixty minutes. With this information, it is also given that there are two hours, thus meaning that we have to multiply sixty by two. This will give you 120. Next, you need to figure out the 3/5's portion of an hour. To find 1/5 of an hour, simply divide sixty by five. With that, you get the answer of 12. But because it says 3/5, you need to multiply 12 by 3, giving you 36. Finally, you add 36 to 120 to get the final answer of 156.

Hope this helps!

5 0
2 years ago
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