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Rom4ik [11]
3 years ago
15

Shane deposits $500 in an account that earns 7.4% interest compounded annually. What is the balance in the account after 3 years

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
400$ i think is the answer 

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A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular
Anna11 [10]

Answer:

Step-by-step explanation:

A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular to this line and passes through the point (2, 3)?

7 0
1 year ago
The net of a right triangle
marusya05 [52]

Answer:

|\

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l       \

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Step-by-step explanation:

8 0
2 years ago
An equilateral ∆ has sides of length 16 cm. Find the length of an altitude.
inn [45]

The length of the altitude is 8\sqrt{3}

Explanation:

Let ABC be an equilateral triangle.

It has sides of length 16 cm

Let AD be the altitude of the triangle.

We need to determine the length of an altitude.

Let AC = 16 cm and CD = 8 cm

Let us consider the right angled triangle ADC

Using the Pythagorean theorem, we have,

AC^2=AD^2+DC^2

Substituting the values, we get,

 16^2=AD^2+8^2

 256=AD^2+64

 192=AD^2

8\sqrt{3}=AD

The length of the altitude is 8\sqrt{3}

5 0
3 years ago
Solve the following equation by factoring 2x^2-5x-12=0
Korolek [52]
Answer: x = 4 and x = -3/2

Procedure:

1) Given: 2x^2 - 5x - 12 = 0

2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0

3) Rearrange: (2x)^2 -5(2x) - 24 = 0

4) Notice that the common factor is (2x)

5) Set the parenthesis with the common factor inside:

(2x     ) (2x     ) =0

6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)

(2x - )(2x + ) = 0

7) find two numbers that sum up - 5x and its product is -24.

- 8 + 3 = - 5
(-8)(+3) = -24

=> the numbers in the factors are -8 and +3

(2x - 8) (2x + 3) = 0

That is the factored equation. Now you can solve

8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4

b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2

Answer: the two solutions are x = 4 and x = -3/2
8 0
2 years ago
Which line is perpendicular to a line that has a slope of 1/2​
siniylev [52]
Line FG is the answer
6 0
3 years ago
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