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Answer:

  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.                                    

Step-by-step explanation:

Let we invest $500 with the interest rate of  14% ,

Now we will find the time it is going to take to double the money

here, we use the formula of compound interest [tex]A= P( 1+\frac{r}{n}) ^{nt}[/tex]

Here, A = the amount yielded,

P = principal,

r = interest rate ,

n = number of times per year,

and t =  time invested.

Now, put A= 1000 , P= 500 , R= 0.14   T= x and N= 1

      [tex]1000=500(1+ 0.14)^x[/tex]      

      [tex]1000=500(1.14)^x[/tex]

       [tex]2=1.14^x[/tex]

     [tex]\log_{1.14} (2)=x[/tex]

      [tex]x=5.29[/tex]

so ,  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.    

Hence , the answer is 5.29 years .                  

Answer:

x = 8

Step-by-step explanation:

Δ RST is equiangular since all 3 sides are congruent, thus

Each angle in the triangle is 60° , then

7x + 4 = 60 ( subtract 4 from both sides )

7x = 56 ( divide both sides by 7 )

x = 8

Answer:

Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.

Answer:

x ≈ 39.8

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are given a right triangle, we can use trigonometry to help us solve for missing values:

cos34° = x/48

x = 48cos34°

x = 39.7938

x ≈ 39.8

Answer:

130 points

Step-by-step explanation:

Answer:

130 points

Step-by-step explanation:

Answer:

236

Step-by-step explanation:

Answer:

who ever gave you that needs help

Step-by-step explanation:

Answer:

All except the Terry Cloth

Step-by-step explanation:

The fabrics that cost less than $8 per yard are cotton, flannel and fleece.

In order to determine the cost of a yard of each material, divide the total cost of 3/4 yards of that fabric by 3/4

cost of a yard = total cost ÷ [tex]\frac{3}{4}[/tex]

Cost of a yard of cotton = 5.54 ÷ [tex]\frac{3}{4}[/tex] = 6.85

Cost of a yard of Flannel = 2.62 ÷[tex]\frac{3}{4}[/tex] = 3.49

Cost per yard of Fleece = 4.27 ÷ [tex]\frac{3}{4}[/tex] =  5.69

Cost per yard of Terry Cloth = 6.52 ÷[tex]\frac{3}{4}[/tex] = 8.69

Based on the above calculations, all but Terry cloth cost less than $8 per yard

A similar question was solved here: https://brainly.com/question/2244723?referrer=searchResults

Answer:

[tex]Total = 38\frac{11}{12}\ miles[/tex]

Step-by-step explanation:

Given

[tex]First\ Route = 12\frac{2}{3}\ miles[/tex]

[tex]Second\ Route = 10\frac{3}{4}\ miles[/tex]

[tex]Third\ Route = 15\frac{1}{2}\ miles[/tex]

Required

Determine the total miles

[tex]Total = First\ Route + Second\ Route + Third\ Route[/tex]

[tex]Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}[/tex]

Convert to improper fractions

[tex]Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}[/tex]

Take LCM

[tex]Total = \frac{152 + 129 + 186}{12}[/tex]

[tex]Total = \frac{467}{12}[/tex]

[tex]Total = 38\frac{11}{12}\ miles[/tex]

Answer:

24-48=-24

Step-by-step explanation:

24-48-100

=- 24-100

= -124

Lol

Answer:

Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.

Step-by-step explanation:

Answer:

85 becacuse 20×25 = 85 x=85

Answer:

the ratio of men to women is 7 to 2

Step-by-step explanation:

you have 9 people 7 are men and 2 are women

Answer: this is kinda already the simplest form unless you want to do 1/4.5

Step-by-step explanation:

Answer:

5 years

Step-by-step explanation:

1. if able's age is x, then his sister's is x-4, and his brother's is 2x

2. if these sum to 32, then we can formulate the equation x+(x-4)+2x=32

3. now solve for x, 4x-4=32, 4x=36, x=9

4. if able's sister is x-4 years old, she is 9-4, or 5 years old

Answer:

x=-14

Step-by-step explanation:

multiply and sqare it and divide both

Answer:

75

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.25/100*1200

=75

Answer:

-4 =x

Step-by-step explanation:

2x - 5= 5x + 7

Subtract 2x from each side

2x-2x - 5= 5x-2x + 7

-5 = 3x+7

Subtract 7 from each side

-5-7 = 3x+7-7

-12 = 3x

Divide by 3

-12/3 = 3x/3

-4 =x

Answer:

6 weeks :)

Step-by-step explanation:

it will take her 6 weeks

45-15 is 30.

30/5 is 6

Answer:

It will take her 6 weeks.

Step-by-step explanation:

$45-$15=$30

$30 ÷ $5 = 6

Answer:

4/15

Step-by-step explanation:

You would do it as follows

I-8/15I reduce the fraction by 2

I-4/25I the absolute fraction is always positive

So the solution is

4/25

Alternative forms are:

0.16 or (2/5)^2 (Just incase)

4/25 <-- answer (so you dont have to watcha  ad :)

|-8/50|

8/50 | 0.16

4/25 | 0.16

all possible ^

there4 its 4/25

15 cm * (7 km / 1 cm) = 105 km

Answer:

98 km, if i'm not wrong

Step-by-step explanation:

I believe it would be 98km because wouldn't you just multiply 14 x 7?

Answer:

0.0008228 to standard form =

8.228 x 10^-4

Answer:

Step-by-step explanation: 15/2=7.5 19/25= 0.76 17 37/50 17.74

3.666 is not. 0.166 is your last answer

1. 15/2 = 7.5

2. 19/25 = 0.76

3. 17 37/50 = 17.74

4. 3.666

5. 0.166

Answer:

the answer is option letter c. tellurium

Answer

[tex]\frac{11}{17}[/tex]

Step-by-step explanation:

first, make an equation. here (d) represents the number of animals that are dogs.

136-48= d

d= 88

now we have [tex]\frac{88}{136}[/tex]

all you have to from here is simplify,

88/136= [tex]\frac{11}{17}[/tex]

Answer:

11/17

I checked on the RSM system it says it is correct

The evaluation of of the expression -(2⁻⁶)(2³) is - 1 / 8(-1 over 8)

The expression can be evaluated as follows:

-(2⁻⁶)(2³)

The expression can be evaluated using the law of indices,

[tex](x^{a} )^{b} = x^{ab}[/tex] and [tex](x^{-b} )=\frac{1}{x^{b} }[/tex]

Therefore,

-(2⁻⁶)(2³)

2⁻⁶ = 1 / 2⁶ = 1 / 64

2³ = 2 × 2 × 2 = 8

Hence,

-(1 / 64)(8) = -  8 / 64 = - 1 / 8

learn more on evaluation and expression here: https://brainly.com/question/25664356

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Answer:Shifted up by 2

Step-by-step explanation:

Answer: (C)

6,2,2,2

Step-by-step explanation:

A mean is an arithmetic average of a set of observations. The set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.

A mean is an arithmetic average of a set of observations. it is given by the formula,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

To solve the problem we will find the mean of each population set and then add the difference between the mean and each data point.

A.)

[tex]Mean = \dfrac{2+3+2+9}{4} = \dfrac{16}{4} =4[/tex]

Dispersion of each point from the mean,

[tex]\rm |Mean - data\ point|\\|4-2|=2\\|4-3|=1\\|4-2|=2\\|4-9|=5[/tex]

Thus, the dispersion of the population from the means is 10 (2+1+2+5).

B.)

[tex]Mean = \dfrac{4+0+4+0}{4} = \dfrac{8}{4} =2[/tex]

Dispersion of each point from the mean,

[tex]\rm |Mean - data\ point|\\|2-4|=2\\|2-0|=2\\|2-4|=2\\|2-0|=2[/tex]

Thus, the dispersion of the population from the means is 8 (2+2+2+2).

C.)

[tex]Mean = \dfrac{6+2+2+2}{4} = \dfrac{12}{4} =3[/tex]

Dispersion of each point from the mean,

[tex]\rm |Mean - data\ point|\\|3-6|=3\\|3-2|=1\\|3-2|=1\\|3-2|=1[/tex]

Thus, the dispersion of the population from the means is 6 (3+1+1+1).

D.)

[tex]Mean = \dfrac{9+3+5+3}{4} = \dfrac{20}{4} =5[/tex]

Dispersion of each point from the mean,

[tex]\rm |Mean - data\ point|\\|5-9|=4\\|5-3|=2\\|5-5|=0\\|5-3|=2[/tex]

Thus, the dispersion of the population from the means is 8 (4+2+0+2).

Hence, the set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.

Learn more about Mean:

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Answer:

A. 10

Step-by-step explanation:

The two shapes are simmilar.