a sum of 1000 invested at an jntrest rate 12% per year. Find the amounts in the account after 3 years if intrest is compounded annualy, semiannually, quarerterly, monthly, and daily.

Answer:

39

Step-by-step explanation:

Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.

The solution is: 39 is the perimeter of XYZ.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

Angle AQC, AQB and BQC are 120deg.

(360/3=120).

Therefore, Angle BZC, CXA and AYB are 60deg.

Because, angle BZC is half of angle BQC.

same for the other three angles.

As, all 3 angles are 60deg, it is an equilateral triangle.

So, YZ is 13

therefore as all 3 sides are equal

its 13*3=39.

Hence, 39 is the perimeter of XYZ.

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Answer: 57 degrees

Step-by-step explanation: We can use our knowledge of knowing the sum of the interior angles of a triangle to be 180 degrees, to find the measure of the angle. So we can do 90 degrees plus 33 degrees, and then subtract the sum from 180 to find the measure of the angle. So we get 123 degrees when we add up 90 and 33 and when we subtract 123 degrees from 180 we get, 57 degrees as the answer.

Answer:

57 degrees

Step-by-step explanation:

We can use our knowledge of knowing the sum of the interior angles of a triangle to be 180 degrees, to find the measure of the angle. So we can do 90 degrees plus 33 degrees, and then subtract the sum from 180 to find the measure of the angle. So we get 123 degrees when we add up 90 and 33 and when we subtract 123 degrees from 180 we get, 57 degrees as the answer.

Answer:

A. System of equations:

[tex]3.2C+3P=48.5\\C+P=15.5[/tex]

B. 5.5 pounds of peanut butter fudge were sold.

Step-by-step explanation:

Given:

Cost of chocolate fudge = $3.20

Cost of peanut butter fudge = $3.00

Total pounds sold = 15.5

Total gross profit = $48.50

C is the number of pounds of chocolate fudge sold.

P is the number of pounds of peanut butter fudge sold.

To find:

System of equations and number of pounds of peanut butter fudge sold = ?

Solution:

As per given conditions:

1. [tex]C+P=15.5[/tex]

Gross profit from Chocolate fudge: [tex]3.20 \times C[/tex]

Gross profit from Peanut Butter fudge: [tex]3.00 \times P[/tex]

Total gross profit = [tex]3.20C+3.00P = 48.50[/tex]

So, the system of equations is:

[tex]3.2C+3P=48.5\\C+P=15.5[/tex]

2. To find P.

Let us solve the equations.

Multiply 2nd equation with 3 and subtracting from 1st equation:

[tex]0.2C = 48.5- 3 \times 15.5\\\Rightarrow 0.2C = 48.5- 46.5\\\Rightarrow C = 10\ pounds[/tex]

Putting in 2nd equation:

[tex]10+P=15.5\\\Rightarrow P =5.5\ pounds[/tex]

So, the answer is:

5.5 pounds of peanut butter fudge were sold.

Answer:

22.62°

Step-by-step explanation:

tan x = 5/12

tan x = 0.416666667

x = arctan(0.416666667)

x = 22.61986983

x = 22.62°

Answer:

There are 0.01 meters in a centimeter.

Step-by-step explanation:

cent means 100th

Hope this helps :)

Answer:

B. 3x+15 / 4x+10

Step-by-step explanation:

[tex]\frac{3x+}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex]  -> multiply by the reciprocal

[tex]\frac{3x}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex]  -> reduce the expression

[tex]\frac{3}{2x+5}[/tex] X [tex]\frac{x+5}{2}[/tex] -> multiply the fractions

[tex]\frac{3(x+5)}{2(2x+5)}[/tex]       -> remove parenthesis

and you get:

[tex]\frac{3x+15}{4x+10}[/tex]

-Hope this helps :)

Answer:

The dimensions are x = 23 and y = 23

The maximum area of the rectangle  A = 529

Step-by-step explanation:

Step(i):-

Let given function area of the rectangle

                                    A = x y ....(i)

Given Perimeter of rectangle

                          2 ( x + y ) = 92

                               (x +y ) = 46

                                y = 46 - x ....(ii)

Substitute y = 46 - x in equation (i)

                             A = x (46 - x)

                            A = 46 x - x²  ....(iii)

Differentiating equation (iii) with respective to 'x'

                            [tex]\frac{dA}{dx} = 46(1) - 2 x[/tex]  ...(iv)

Step(ii):-

              [tex]\frac{dA}{dx} = 46(1) - 2 x = 0[/tex]

                       46 - 2 x = 0

                             46  = 2 x

                              x  = 23

Again Differentiating equation (iv) with respective to 'x'

                      [tex]\frac{d^{2} A}{dx^{2} } = - 2 (1) = -2 < 0[/tex]

The maximum value at x = 23

Step(iii):-

From(ii)

                      y = 46 - x

                     y   = 46 - 23

                   y    = 2 3

The dimensions are x = 23 and y = 23

Final answer :-

The dimensions are x = 23 and y = 23

The maximum area of the rectangle

                        A = x y

                      A = 23 ×23

                     A = 529

The maximum area of the rectangle  = 529

The dimension of the rectangle with perimeter 92 m whose area is as large as possible is 23m by 23m

If the perimeter of a rectangle is 92m, hence;

2(x+y) = 92

x is the length

y is the width

x + y = 46 ....... 1

If the area is as large as possible, hence;

xy = maximum .........2

From equation 1, x = 46 - y

Substitute into the second equation

(46-y)y = P(y)

P(y) = 46y - y²

If the product is at the maximum, hence;

dP/dy = 46 - 2y = 0

46 - 2y = 0]

2y = 46

y = 23

Since x + y = 46

x = 46 - y

x = 46 - 23

x = 23

Hence the dimension of the rectangle with perimeter 92 m whose area is as large as possible is 23m by 23m

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It is D.

you must multiply the second equation by 3, so that the +3y in the first equation can cancel out the (now) -3y in the second equation.

Answer:

1/7

Step-by-step explanation:

y=-7X

The slope of this line is -7

Perpendicular lines have slopes that multiply to -1

-7 * m = -1

Divide each side by -7

m = -1 / -7

m = 1/7

The slope of the perpendicular line is 1/7

Answer:

1/7

Step-by-step explanation:

Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.

So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).

to find perpendicular slope..

Step 1. Multiple -7 by -1 = 7

Step 2. Flip 7/1 to 1/7

Answer: 1/7 is perpendicular slope

Answer:

1. A resposta é a opção C.

2. ( a +b )² = a² + 2ab + b² Verdade

( a - b )² = a² - 2ab + b² Verdade

( a + b ) .( a – b) = a² + b² Falso

( a +b)³ = a³ + 3a²b + 3ab² + b³ Verdade

( a -b)³ = a³ - 3a²b + 3ab² - b³ Verdade

3. a.) m² - 14am + 49a² = ( m - 7a)²

b) m2 – 9n² = m² - (3n)² = (m + 3n)(m - 3n)

c) 30+ 5xy + 12a +2axy = (6 + xy)(5 + 2a)

d) 8a²b + 10ab² = 2ab( 4a + 5b)

Espero que isso ajude você

Answer:

a.) dx3x² + 2

Use the properties of integrals

That's

integral 3x² + integral 2

= 3x^2+1/3 + 2x + c

= 3x³/3 + 2x + c

= x³ + 2x + C

where C is the constant of integration

b.) x³ + 2x

Use the properties of integrals

That's

integral x³ + integral 2x

= x^3+1/4 + 2x^1+1/2

= x⁴/4 + 2x²/2 + c

= x⁴/4 + x² + C

c.) dx6x 5 + 5

Use the properties of integrals

That's

integral 6x^5 + integral 5

= 6x^5+1/6 + 5x

= 6x^6/6 + 5x

= x^6 + 5x + C

d.) x^6 + 5x

integral x^6 + integral 5x

= x^6+1/7 + 5x^1+1/2

= x^7/7 + 5/2x² + C

Hope this helps

Answer:

[tex]\boxed{Larger \ Number = -7}[/tex]

Step-by-step explanation:

Let the consecutive numbers be x and x+1 (Since they are coming one after another)

So, Given Condition is:

x+1 = 9 + 2(x)

x+1 = 9 +2x

Subtracting -2x to both sides

x+1-2x = 9

-x+1 = 9

Subtracting 1 from both sides

-x = 9-1

-x = 8

=> x = -8

The larger number is:

=> x+1 = -8+1 = -7

Answer:

7.2 times

Step-by-step explanation:

There are 36 possible outcomes when rolling a die twice and adding the results. The outcomes for which the sum is 6 are:

Sum = 6: {1,5; 2,4; 3,3; 4,2; 5,1}

Therefore there is a 5 in 36 chance that the sum will be 6.

The expected number of trials to achieve that result is given by:

[tex]E = \frac{36}{5}\\E=7.2\ times[/tex]

On average, it would take 7.2 trials to achieve a sum of 6.

Answer:

p+2p+3p=180degree(sum of angle of triangle)

6p=180degree

p=180degree/6

p=30degree

here your answer and please support me

Answer:

30, 60, 90

Step-by-step explanation:

p+2p+3p= 180

6p= 180

p=30, 2p= 60, 3p= 90

x+-2*2-3x-7

x+4-3x-7

x+1.x-7

x.x-7

2x-7

Answer:

Greatest number = 9867

Smallest number = 1027

Step-by-step explanation:

Greatest number:

- - - 7

In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).

9867

Smallest number:

- - - 7

In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).

1027

Answer:

x=9

Step-by-step explanation:

for this sort of a problem, I would set up a proportion

5/25=x/45

multiply both sides by 25 and 45

45*5=x*25

225=25x

x=9

Answer:

The shape of the graph of f(x)=x is that of a linear function.

Step-by-step explanation:

The graph f(x)=x is the parent function of the linear function.  It is a positive function since it goes upward from left to right, and it passes through the point of (0,0).  It also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x.  Note once again: The parent linear function and the graph of f(x)=x are the exact same graph.

The shape of the graph of function f(x) = x is that of a linear function.

There are many tools we can use to find the information of the relation which was used to form the graph. A graph contains data of which input maps to which output. Analysis of this leads to the relations which were used to make it.

The graph of a function f(x)=x is the parent function of the linear function.  

This is a positive function since it goes upward from left to right, and it passes through the point of (0,0).  

And also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x.  

Hence, the parent linear function and the graph of f(x)=x are the exact same graph.

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Answer:

Tan B = 24/10 = 12/5

Step-by-step explanation:

Tangent is opposite/adjacent. The side opposite of B is 24 and adjacent to that is 10.

x = +7 or -7

a = +3 or -3

x = +19 or -5

n = -5 or -7

p = +4 or -2

x = +11 or +1

a = -11 or -7

k = +16 or 0

m = -1 or 0

r = +6 or +1    

: Answer:

Step-by-step explanation:

|3a|=9

a=3

2- |x–7|=12

For the Negative case we'll use -(x-7)  

For the Positive case we'll use (x-7)  

Solve the Negative Case

     -(x-7) = 12  

 Multiply

     -x+7 = 12  

    rearrange and Add up

     -x = 5  

    Multiply both sides by (-1)

     x = -5  (for negative)

Solve the Positive Case

     (x-7) = 12  

     x = 19  

 Which is the solution for the Positive Case

Wrap up the solution

x=-5             ,x=19

 4- |n+6|=1

The Absolute Value term is |n+6|

 For the Negative case we'll use -(n+6)  

For the Positive case we'll use (n+6)  

Solve the Negative Case

     -(n+6) = 1  

    Multiply

   -n-6 = 1  

  -n = 7  

  Multiply both sides by (-1)

     n = -7  

  Which is the solution for the Negative Case

Solve the Positive Case

     (n+6) = 1  

     n = -5  

Which is the solution for the Positive Case

Wrap up the solution

n=-7

n=-5

5-   |1–p|=3

The Absolute Value term is |-p+1|

 For the Negative case we'll use -(-p+1)  

For the Positive case we'll use (-p+1)  

Solve the Negative Case

     -(-p+1) = 3  

  Multiply

   p-1 = 3  

   Rearrange and Add up

     p = 4  

Solve the Positive Case

     (-p+1) = 3

Rearrange and Add up

   -p = 2  

 Multiply both sides by (-1)

p = -2

Which is the solution for the Positive Case

Wrap up the solution

p=4                             , p=-2

6 - |6–x|=5    

The Absolute Value term is |-x+6|

For the Negative case we'll use -(-x+6)  

For the Positive case we'll use (-x+6)  

Solve the Negative Case

   -(-x+6) = 5  

  Multiply

   x-6 = 5

 Rearrange and Add up

     x = 11  

Solve the Positive Case

     (-x+6) = 5  

 Rearrange and Add up

     -x = -1

  Multiply both sides by (-1)

  x = 1  

   Which is the solution for the Positive Case

Wrap up the solution

x=11              ,   x=1

7-

The Absolute Value term is |a+9|

 For the Negative case we'll use -(a+9)  

For the Positive case we'll use (a+9)  

Solve the Negative Case

     -(a+9) = 2  

  Multiply

     -a-9 = 2  

    Rearrange and Add up

     -a = 11  

  Multiply both sides by (-1)

   a = -11  

   Which is the solution for the Negative Case

Solve the Positive Case

     (a+9) = 2  

    Rearrange and Add up      a = -7  

 Which is the solution for the Positive Case

Wrap up the solution

a=-11    a=-7

8-  |k–8|=8

The Absolute Value term is |k-8|

For the Negative case we'll use -(k-8)  

For the Positive case we'll use (k-8)  

Solve the Negative Case

     -(k-8) = 8  

    Multiply

     -k+8 = 8  

    Rearrange and Add up

     -k = 0  

    Multiply both sides by (-1)

   k = 0  

  Which is the solution for the Negative Case

Solve the Positive Case

     (k-8) = 8  

  Rearrange and Add up

     k = 16  

    Which is the solution for the Positive Case

Wrap up the solution

k=0  k=16

Solutions on the Number Line

Two solutions were found :

k=16

k=0

9-|2m+1|=1

The Absolute Value term is |2m+1|  

For the Negative case we'll use -(2m+1)  

For the Positive case we'll use (2m+1)  

Solve the Negative Case

     -(2m+1) = 1  

    Multiply

     -2m-1 = 1  

Rearrange and Add up

     -2m = 2  

    Divide both sides by 2

     -m = 1  

    Multiply both sides by (-1)

     m = -1  

    Which is the solution for the Negative Case

Solve the Positive Case

     (2m+1) = 1  

Rearrange and Add up

  2m = 0  

  Divide both sides by 2

   m = 0  

 Which is the solution for the Positive Case

Wrap up the solution

m=-1

m=0

Solutions on the Number Line

Two solutions were found :

m=0

m=-1

9- |7–2r|=5

The Absolute Value term is |-2r+7|

For the Negative case we'll use -(-2r+7)  

Solve the Negative Case

     -(-2r+7) = 5  

    Multiply

     2r-7 = 5  

    Rearrange and Add up

     2r = 12  

    Divide both sides by 2

     r = 6  

Solve the Positive Case

     (-2r+7) = 5  

   Rearrange and Add up

   -2r = -2  

  Divide both sides by 2

   -r = -1  

 Multiply both sides by (-1)

   r = 1  

  Which is the solution for the Positive Case

Wrap up the solution

r=6

r=1

Answer:

42

Step-by-step explanation:

7/8 = x / 48

We need to get a common denominator

Multiply the left side by 6

7/8 *6/6 = x/48

42/48 = x/48

Since the denominators are equal, the numerators must be equal

42 =x

Answer:

42

Step-by-step explanation:

7/8=42/48

Cross products: 7(48)=8x

Answer:

6 ounces of red beads

6 ounces of gold beads

Step-by-step explanation:

x + y = 12

x + 3y = 24

We can solve this with substitution or elimination.  In this case, I would suggest elimination.  Subtract the first equation from the second:

2y = 12

y = 6

Plug back into either equation to find x.

x = 6

Answer:

How many ounces of red beads will Juanita buy to break even?

6

How many ounces of gold beads will she buy?

6

Step-by-step explanation:

Because I got 100 percent on EDG 2020

Step-by-step explanation:

There are no choices available, so here is a graph of that equation.  Simply compare it to the answer.

Answer:

y= -3.7x+100.94

Step-by-step explanation:

Generally this type of problems is solved by using a calculator or a spreadsheet. Now, getting the final equation depends on the model of calculator you are using, so I will suggest you look for the instructions on your calculator's instruction manual. I'll provide indications for using excel.

So first you need to input the table on an excel sheet. You can input them just the same way they were given to you. (See attached picture)

Once you inputed them, you can highlight them and go to the insert tab. There you can pick the scattering plot option. Once the scatterplot is graphed, you can right-click on the graph and a menu should appear. Pick the option add tendency line. Choose the line option and below, you can mark the option present equation on the graph and present the value of R. And that will be it! Excel will automatically provide you with the equation of the regression line you need.

Most scientific calculators nowaday can provide you with the equation, you just need to input the data and they will return the slope and y-intercept of the line.

There are other formulas you can use to find this regression by hand, but they are generally used in statistics courses.

Answer:

[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex] = 12π

Step-by-step explanation:

The field F is given by:

[tex]F = 3y\hat{i} + y\hat{j}+z\hat{k}[/tex]      (1)

The curve C is the ellipse:

[tex]\frac{x^2}{4}+\frac{y^2}{64}=1\\\\(\frac{x}{2})^2+(\frac{y}{8})^2=1[/tex]

In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.

The general form of an ellipse equation is:

[tex](\frac{x}{a})^2+(\frac{y}{b})^2=1[/tex]

The parametric equation is:

[tex]r(t)=acost \hat{i} + bsint\hat{j}=2cost\hat{i}+8sint\hat{j}[/tex]      (2)

The Stokes's theorem is given by the following identity:

[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex]    

The path integral is also:

[tex]\int F\cdot dr=\int F(r(t))\cdot dr(t)[/tex]      (3)

For F(r(t)) and dr(t) you obtain:

[tex]F(r(t))=3(8sint)\hat{j}+(8sint)\hat{j}+(z)\hat{k}\\\\dr(t)=(-2sint\hat{i}+8cost\hat{j}+0\hat{k})dt\\\\F(r(t))\cdot dr(t)=(-48sin^2t+64cos^2t)dt[/tex]

Next, in the equation (3) you obtain:

[tex]\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi[/tex]

The circulation of the field around C is 12π

Answer:

595

Step-by-step explanation:

Let the first integer be n. Then each consecutive integer will be (n+1), (n+2)... until (n+16).

First, from the formula [tex]k/2(a+x_{k})[/tex], where k is the number of elements and xk is the last element, we can find 1+2+3 ... +15+16 = (16/2)(1+16)=136.

Anyways, this means that 17n+136=306.

We can find that n=10

Thus, the first integer is 10, and the 17th integer will be 10+16=26.

Thus, the first integer immediately proceeding 26 is 27. There are a total of 17 digits including 27 so we can add 16 to 27 to find the last digit, which is 43. There are again 17 digits in this set.

Thus, we have: 17/2(27+43)=595.

Answer:

$2,160 is what he need for both daughters for 1 year

Step-by-step explanation:

90 x 2 = 180

180 x 12 = 2,160

Dominic need to budget a total of 2160 for a year of gymnastics for both daughters.

Multiplication is one of the basic mathematical operations which includes a number added repeatedly to times of the other number. The final answer is called the product of the numbers.

Multiplication is usually denoted as '×' sign.

a × b indicates that a is added repeatedly upto b times.

Cost for the gymnastics per month per child = 90

In order to find the cost per month for both daughters, we need to multiply 90 with 2.

Cost for the gymnastics per month for 2 daughters = 2 × 90 = 180

To find the total cost for an year, we need to multiply 180 with 12.

Total cost for the year = 180 × 12 = 2160

Hence the total budget for Dominic to send both the daughter in a year is 260.

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Answer:

see below

Step-by-step explanation:

9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank

We are replacing 9 with 10 minus something

9 = 10 -1

9 x 8 = (10 x 8) - ( 1 x 8)

           80 - 8

             72