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Yakvenalex [24]
2 years ago
11

Greta has $6 in a savings account. The interest rate is 5%, compounded annually.

Mathematics
1 answer:
crimeas [40]2 years ago
5 0
6x5=30 2 years =730 days 730x30= 21,900
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[Algebra 2] Find the quotient with the necessary restrictions.​
Tatiana [17]

Answer:

The correct answer is:   3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))

First we need to factorize both numerators and denominators

16x² - 8x + 1 = (4x - 1)²   This is square binomial

x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)

20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) ·  15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0  =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4  This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

8 0
3 years ago
If a 30-60-90 right triangle has a hypotenuse 6, what is the length of the short leg?
Anton [14]

Answer:

\sqrt[3]{3}

Step-by-step explanation:

use the Pythagoras Theorem

Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2.

6 0
2 years ago
Which ratio is not equivalent to the other three?
strojnjashka [21]
C(12/15) because the other 3 all equal 0.666666666666667 but 12/15 equals 0.8
8 0
3 years ago
Read 2 more answers
△ABC is a 30-60-90 triangle where m∠B=90° . The length of the shorter leg is 11 units.
tatyana61 [14]
Start with where the shorter leg is. It must be opposite the smallest angle.

In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it. 

That being said, if the shortest side is x, the hypotenuse will be 2x.

Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22

22 <<<<<< answer.

6 0
2 years ago
Describe the transformation of f(x) = sin x to g(x) = sin x – 7.
MrRissso [65]

9514 1404 393

Answer:

  C.  7 units down

Step-by-step explanation:

The y-coordinate of a point on a graph is the function value. It tells how far up from the x-axis the point is located. When 7 is subtracted from the function value, the y-coordinate is 7 less than it was. That is, the point has moved 7 units down.

3 0
3 years ago
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