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alexandr402 [8]
3 years ago
8

Your $440 gets 5.8% compounded annually for 8 years. What will your $440.00 be worth in 8 years?

Mathematics
1 answer:
MArishka [77]3 years ago
5 0

Answer:

400.00

Step-by-step explanation:

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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Find y'' if y= 9csc x
sineoko [7]

Answer:

y" = csc(x)[9cot²(x) - csc²(x)]

Step-by-step explanation:

Step 1: Define

y = 9csc(x)

Step 2: Find 1st derivative

y' = -9csc(x)cot(x)

Step 3: Find 2nd derivative

y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)

y" = 9csc(x)cot²(x) - csc³(x)

y" = csc(x)[9cot²(x) - csc²(x)]

4 0
4 years ago
Morgan's grandmother orders her groceries online and has them delivered to her house.
kotykmax [81]

Answer: The total price of the groceries, including discount and tips $110.4

Step-by-step explanation:

6 0
4 years ago
I need some help please and thanks again
makkiz [27]
I think The side is 90 in
3 0
3 years ago
Find the shortest side of a triangle whose perimeter is 64
valentinak56 [21]
Answer shortest side would
Be 18.
64 -18 = 46
46 divided by 2 = 23.
So if two of the sides was the same 18 would be the smallest one of the sides could be
3 0
3 years ago
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