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anyanavicka [17]
3 years ago
14

Find the simple interest earned in a savings account that pays 5% interest if $500 is deposited for 4 years. A. $100, B. $1000,

C. $600, D. $500
Mathematics
1 answer:
g100num [7]3 years ago
3 0
To calculate simple interest, you first need to multiply the original amount by the percentage of the money which is going to be added.

In this situation, 500 x 0.05 is the interest which will be added each year.
Therefore, $25 will be added each year. Since it is over 4 years, it is (25*4).
So the account will have earned $100 of simple interest.

Although the account will contain $600, it will have EARNED $100 of interest since it started with $500 already.

Answer - A $100 of simple interest will be earned.
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Matt has 11 white buttons. He has 9 fewer brown buttons than white buttons. Matt has 17 more grey buttons than brown buttons. Ho
In-s [12.5K]

Answer: 32 buttons

Step-by-step explanation:

Matt has 11 white buttons.

Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons

Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.

The total number of buttons that Matt has will be;

= 11 white + 2 brown + 19 grey

= 32 buttons

7 0
3 years ago
What is 12 1/2 x 4 2/3
egoroff_w [7]

Answer:

174 1/3

Step-by-step explanation:

6 0
3 years ago
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Find sin(2x), cos(2x) and tan (2x) from the given information. cot(x)=2/3, x in quadrant I
Usimov [2.4K]

Answer:

1.) 6√13/13

2.) 4√13/13

3.) 3

Step-by-step explanation:

given that cot(x) = 2/3

But cot(x) = 1/tan(x)

Substitutes 1/tan(x) for cot(x)

1/tan(x) = 2/3

Reciprocate both sides

Tan(x) = 3/2 = opposite/adjacent

Use pythagorean theorem to find the hypothenus.

Hypothenus = sqrt ( 3^2 + 2^2 )

Hypothenus = sqrt ( 9 + 4 )

Hypothenus = sqrt (13)

Hypothenus = √13

1.) Sin(x) = opposite/hypothenus = 3/√13

Rationalise

3/√13 × √13/√13

3√13/13

Sin(2x) = 2 × 3√13/13

Sin(2x) = 6√13/13

2.) Cos( x ) = adjacent/hypothenus

Cos (x) = 2/√13

Rationalise

2/√13 × √13 /√13

2√13/13

Cos(2x) = 2 × 2√13/13

Cos(2x) = 4√13/13

3.) Tan (x) = 3/2

tan (2x) = 2 × 3/2

Tan(2x) = 3

4 0
3 years ago
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x^2 + 5x – 1.
just olya [345]

Answer:

The equation of the axis of symmetry is x = -\frac{5}{8}

The coordinates of the vertex are ( -\frac{5}{8} , -2\frac{9}{16} ) ⇒ 2nd answer

Step-by-step explanation:

The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where

  • h = -\frac{b}{2a} and k is value y at x = h
  • The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
  • The minimum/maximum value of the function is (h , k)

∵ y = 4x² + 5x - 1

∵ The form of the quadratic function is y = ax² + bx + c

∴ a = 4 , b = 5 , c = -1

∵ The coordinates of the vertex points are (h , k)

∵ h = -\frac{b}{2a}

∴ h = -\frac{5}{(2)(4)}=-\frac{5}{8}

- To find k substitute x in the function by -\frac{5}{8}

∵ k = 4 ( -\frac{5}{8} )² + 5( -\frac{5}{8} ) - 1

∴ k = 4 ( \frac{25}{64} ) + ( -\frac{25}{8} ) - 1

∴ k =  \frac{25}{16}  - \frac{25}{8}  - 1

∴ k = -2\frac{9}{16}

∴ The coordinates of the vertex are ( -\frac{5}{8} , -2\frac{9}{16} )

∵ The equation of the axis of symmetry is x = h

∵ h = -\frac{5}{8}

∴ The equation of the axis of symmetry is x = -\frac{5}{8}

7 0
3 years ago
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Pleasee heppppppp mehhh!
Ludmilka [50]
V sphere = 3/4 x 3.14 x 12^3 = 7,235
V cylinder = 100 x 3.14 x 30^2 = 282,600
=» V water = 282,600 - 7,235 = 275,365
5 0
3 years ago
Read 2 more answers
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