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Naily [24]
3 years ago
13

if 3000$ is invested at a rate of 12% compounded continuously, find the balance in the account after 5 years. Use the formula A=

Pe^rt​
Mathematics
1 answer:
Softa [21]3 years ago
8 0

Answer:

$5466.36

Step-by-step explanation:

This question is pretty cut and dry

just plug in the numbers

3000e^{5*.12}\\3000e^{.6}\\5466.356401\\5466.36

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How do I find the largest angle of the triangle ??
Novosadov [1.4K]
Answer: 89

43 + x = 132 => Exterior Angle Theorem
                                           ^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.

x = 89

**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**

3 0
3 years ago
which of the following are right triangles: a triangle with side lenghts 6 inches, 8 inches,10 inches, a triangle with side leng
amid [387]

9514 1404 393

Answer:

  • (6, 8, 10) right
  • (8, 15, 17) right
  • (5, 12, 13) right

Step-by-step explanation:

It can be helpful to memorize a few of the Pythagorean triples that show up in Algebra problems. Their multiples also form right triangles.

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

The triple (6, 8, 10) is the first one of these, multiplied by 2 inches.

The only triple that is a sequence of consecutive integers is (3, 4, 5), so you know immediately that (4, 5, 6) does not form a right triangle.

Of course, you can check any of them to see if the squares of the smaller two numbers total the square of the larger number:

  4² +5² = 16 +25 = 41 ≠ 6² . . . . . (4, 5, 6) is not a right triangle

5 0
3 years ago
Write a Play
Westkost [7]

Answer:

math is a difficult subject

7 0
3 years ago
How fast is the minivan traveling in miles per minute
s2008m [1.1K]
The van is traveling about 55.9 miles per hour.
7 0
3 years ago
Oof this is probably really simple to most of y'all but I'm out of it.
Lelechka [254]

Answers:

  • angle1 = 156 degrees
  • angle2 = 24 degrees

=======================================================

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

5x = 195

x = 195/5

x = 39

We use that x value to find each missing angle

  • angle1 = 4x = 4*39 = 156 degrees
  • angle2 = x-15 = 39-15 = 24 degrees

Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

6 0
2 years ago
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