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Yanka [14]
3 years ago
10

You deposited $10,000 into a savings account at 6%. After a certain amount of time, you earned $4,800. How long did you have you

r money in the savings account?
Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0

Answer:

800 months

Step-by-step explanation:

The formula for interest is:

(Capital * saving account * time) / 100

So:

(10000 * 0.06 * x) / (100) = 4800

We clear x:

(10000 * 0.06 * x) = (100) * 4800

x = 480,000 / (10000 * 0.06)

x = 800 months (66.67 years)

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A honeybee flaps its wings 200 times per second.how much time is required for one wingbeat? give your answere in millisecond
Fiesta28 [93]

The time required for one wing beat is 5 milliseconds.

<em><u>Explanation</u></em>

Lets assume, the time required for one wing beat is  t seconds

So, the time required for 200 wing beat = 200t seconds

Given that, the honeybee flaps its wings 200 times per 1 second. So...

200t=1 \\ \\ t=\frac{1}{200}seconds\\ \\ t= (\frac{1}{200}*1000 )milliseconds\\ \\ t=( 5 )milliseconds

So, the time required for one wing beat is 5 milliseconds.

7 0
3 years ago
Suppose you are given a cube made of magnesium (mg) metal of edge length 2.15 cm. (a) calculate the number of mg atoms in the cu
SVETLANKA909090 [29]

solution:

a) To calculate the volume of cube of edge 1.0cm

Volume= (edge)³

=(100cm) ³

= 1cm³

To find the mass of MG atoms  

Density = mass/volume

Mass of mg = 1.74g/cm³ x 1cm³

       = 1.74g

To find the number of mg atoms,

Molar mass of mg = 24.31g

24.31g mg contain 6.022 x 10²³ atoms of mg  

1.74g mg contain = 6.022 x 10²³mg atoms/24.31g mg x 1.74g mg

    = 0.4310 x 10²³mg atoms

    = 4.31 x 10²² mg atoms

B) to find the volume occupied by mg atoms  

    Total volume of cube = 1 cm³

    Volume occupied by mg atoms  

  = 74% of 1cm³

=74/100 x 1cm³= 0.74cm³

To find the volume of 1 mg atom  

4.31 x 10²² mg atoms occupy 0.74 cm³

1 atom will occupy 0.74cm³

1 atom will occupy = 0.74cm³/4.31 x 10²²mg atoms x 1mg atom

volume of 1 mg atom = 0.1716 x 10⁻²²cm²

Volume of 1 mg atom = 4/3 π³ in the form of sphere.

4/3πr³ = 0.1716 x 10⁻²²cm³

R³ = 0.1716 x 10⁻²²cm³x 4/3 x 7/22

R³ = 0.04095 x 10⁻²²cm³

R = 0.1599 x 10⁻⁷cm

1 = 10⁻¹⁰cm

 = 0.1599 x 10⁻⁷cm

 = 1pm/1 x 10⁻¹⁰cm  x 0.1599 x 10-7cm

= 1.599 x 10² pm  

R= 1.6 x 10²pm


3 0
3 years ago
Given the system below:
Andrei [34K]
If F(x) =g(x) =2x,
x can be any value
4 0
3 years ago
Read 2 more answers
Please help I will give a brainless or brainly
enot [183]

Answer:

2x - 12 + 6 = 4x - 4

2x- 6 = 4x - 4

-6 +4 = 4x - 2x

-2 = 2x

x= -2/2

x = -1

5 0
2 years ago
Read 2 more answers
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint
Vikki [24]

Answer:

a

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

b

The number is  x=  \frac{1}{3}

c

The price is P  = \$ 8

Step-by-step explanation:

From the question we are told that

   The ratio of  the number of cups of blue paint to the number of cups of red paint is  r  =  3: 1

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that  1 cup of  red paint  =>   3 cups of blue paint

                 x cup of  red paint  =>  1  cup of  blue paint

So

         x=  \frac{1 *  1}{3}

=>      x=  \frac{1}{3}

Generally the unit price of a cup of blue paint is mathematically represented as

     P  =  \frac{48}{6}

=>  P  = \$ 8

     

4 0
3 years ago
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