An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $6600 and his stock in Company B was worth $3500.
The stock in Company A has increased 7% since last year and the stock in Company B
has increased 1%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).

Answer:

"A" seems to be incorrect....

Step-by-step explanation:

"A" seems to be incorrect....

[tex]\frac{\left(\sin \left(60^{\circ \:}\right)\cdot \:300\right)}{\sin \left(90^{\circ \:}\right)}=150\sqrt{3}\quad \begin{pmatrix}\mathrm{Decimal:}&259.80762\dots \end{pmatrix}[/tex]

Answer:

Hello,

Answer C

Step-by-step explanation:

x'=x

y'=y+4

(x-1)²+(y-4)²=16

(x'-1)²+(y'-8)²=16

is the circle of center (1,5) and radius 4

The y-coordinate of the center of the circle increases by 4.

Answer:

70.7 deg, 19.3 deg

Step-by-step explanation:

The sum of the measures of complementary angles is 90 deg.

One angle measures x.

The other angles measures 51.4 deg less than x, or x - 51.4.

The sum of their measures equals 90.

x + x - 51.4 = 90

2x - 51.4 = 90

2x = 141.4

x = 70.7

x - 51.4 = 70.7 - 51.4 = 19.3

Answer: 70.7 deg, 19.3 deg

Answer:

4/25

Step-by-step explanation:

3 red marbles and 2 black marbles in a bag = 5 marbles

P(black) = black/total = 2/5

Replace marble

3 red marbles and 2 black marbles in a bag = 5 marbles

P(black) = black/total = 2/5

P(black, replace, black) = 2/5 * 2/5 = 4/25

Answer:

A is the answer to your question

Step-by-step explanation:

To do this, just distribute the 3 to each of the coefficient and see if it would result in the same coefficients in the original expression.

Answer:

(7-d)(7+d)

Step-by-step explanation:

49 - d^2

Rewriting

7^2 - d^2

We know that a^2 - b^2 = (a-b)(a+b)

(7-d)(7+d)

The answer you are looking for is -(d+7)(d-7).

Answer:

see explanation

Step-by-step explanation:

He wants to buy at least 4 snacks , that is can be more than 4 , so

x + y ≥ 4

He only has $20 , thus total cost must be less than or equal to $20 , so

3x + 2y ≤ 20

Answer:

C

Step-by-step explanation:

Simple Random Sample

A sample in which each individual in the population has an equal chance to be selected is a simple random sampling ( SRS )

The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.

This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.

Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.

Given data ,

Let the sampling be represented as A

Now , in the sampling , each individual in the population has an equal chance to be selected

So , Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS).

And , each potential sample has an equal probability of being chosen

Hence , the sampling is a simple random sampling ( SRS )

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Answer:

x=10

Step-by-step explanation:

hope it helps

Answer:

16!

Step-by-step explanation:

4 x 3 = 12 + 4 = 16

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

I don't understand the question?

Answer:

1/2 lb of pecans would cost $1.9

3 lbs of pecans would cost $11.4

Step-by-step explanation:

The rate given is 5 lb of pecans for $19

FIND THE UNIT RATE OF DOLLARS PER POUND OF PECANS BY:

19 ÷ 5 = 3.8

THE UNIT RATE IS $3.8 per pound of pecans.

Use unit rate to determine how much will the following amounts of pecans cost:

1/2 lbs

1/2 x 3.8 = $1.9

3 lbs

3 x 3.8 = $11.4

Answer:

y=3x

Step-by-step explanation:

The equation of the line is y=3x

Answer:

see explanation

Step-by-step explanation:

The volume cannot be 15 cm³ because it is not a perfect cube.

V = x³

let x = 4 then x³ = 4³ = 64 ← a perfect cube

There is not an integer when cubed gives 15

Answer:

In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.[1][2] The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant. If the array includes just the positive integers {\displaystyle 1,2,...,n^{2}}{\displaystyle 1,2,...,n^{2}}, the magic square is said to be normal. Some authors take magic square to mean normal magic square.[3]

The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3

Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant we have semimagic squares (sometimes called orthomagic squares).

The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Although completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. There are also more specific strategies like the continuous enumeration method that reproduces specific patterns. Magic squares are generally classified according to their order n as: odd if n is odd, evenly even (also referred to as "doubly even") if n is a multiple of 4, oddly even (also known as "singly even") if n is any other even number. This classification is based on different techniques required to construct odd, evenly even, and oddly even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect magic squares, and so on. More challengingly, attempts have also been made to classify all the magic squares of a given order as transformations of a smaller set of squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of any order was only accomplished in the late 20th century.

Magic squares have a long history, dating back to at least 190 BCE in China. At various times they have acquired occult or mythical significance, and have appeared as symbols in works of art. In modern times they have been generalized a number of ways, including using extra or different constraints, multiplying instead of adding cells, using alternate shapes or more than two dimensions, and replacing numbers with shapes and addition with geometric operations.

The sum area of shaded region​ is [tex]\frac{1}{3}[/tex].

The formula to find the sum of infinite geometric progression is

[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]

Given

S = [tex]\frac{1}{4} +\frac{1}{16} +\frac{1}{64} +.........[/tex]

Using geometric progression

S = [tex]\lim_{h \to \infty} [\frac{1}{4} +(\frac{1}{4} )^{2} +(\frac{1}{4} )^{3} +.........+(\frac{1}{4} )^{n}][/tex]

Using summation formula for geometric progression

[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]

= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-(\frac{1}{4} )^{n} }{1-\frac{1}{4} }[/tex]

= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-\frac{1}{4^{n} }) }{\frac{3}{4} }[/tex]

= [tex]\lim_{h\to \infty} \frac{1}{3}(1-\frac{1}{4^{n} } )[/tex]

[tex]\lim_{h\to \infty} \frac{1}{4^{n} }[/tex] = 0

S  = [tex]\frac{1}{3}(1-0) = \frac{1}{3}[/tex]

The sum area of shaded region​ is [tex]\frac{1}{3}[/tex].

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Answer:

length = 13

Step-by-step explanation:

length =x-4

width = 8

perimeter =2( x-4) + 2× 8 = 34

= 2x - 8 + 8 =34

= 2x =34

= x = 17

Answer:

x = 13

Step-by-step explanation:

The opposite sides of a rectangle are equal, then

2(x - 4) + 2(8) = 34 ← distribute parenthesis and simplify left side

2x - 8 + 16 = 34

2x + 8 = 34 ( subtract 8 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Answer:

15

Step-by-step explanation:

Sum of 'n' terms formula is given by:-    

s=n/2(2a+(n-1)d)  

s=13/2[2xa+(13-1)5]    

s=13/2(2xa+12x5)    

s=13/2(2a+60)    

585=13/2(2a+60)    

585 x (2/13) = 2a + 60

90 = 2a + 60  

90-60 = 2a

30 = 2a

a = 15

Answer:

pretty sure she did something wrong in the 1st step, it specifically said to do 6.1-4.5, but she changed the parathenesis, resulting in a different answer

Answer:

Step-by-step explanation:

Bonsoir,

63°

The value of external angle x intercepted by two tangents is 63°

We have,

From the given figure,

External  angle = x

From the definition of external angle intercepted by two tangents.

External angle = 1/2 x difference of the intercepted arc length

Now,

Difference of the arc length.

= 243 - (360 - 243)

= 243 - 117

= 126

Now,

Substituting the values.

External angle = 1/2 x difference of the intercepted arc length

= 1/2 x 126

= 63

Thus,

The value of external angle x is 63°

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Answer:

1.) C. - 1/125

2.) B. - -3x-4

3.) A. - 3^-12

4.) C. - 7^8

5.) D. - 8^5

6.) A.  - 9x8x4

7.) B. - 2x5/7x5 or A It's Almost the Same But I couldn't find the exact difference so Sorry.

Answer:

f(2)= 1

f-¹(1)= 2

f-¹(f(2))= 2

I hope I helped you^_^

Answer:

I think 60 - 1200 but i am not conform

The angle of depression from the top of the lighthouse to the ship is 0.04998 radians.

Given that, the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could spot the lighthouse.

We need to find the angle of depression from the top of the lighthouse to the ship.

The angle is formed by the line of sight and the horizontal plane for an object below the horizontal.

Now, sin b=60/1200

⇒sin b=1/20

⇒sin b=0.05

⇒b=0.04998 radians

Now, b=x=0.04998 radians

Therefore, the angle of depression from the top of the lighthouse to the ship is 0.04998 radians.

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The seller sold 120 single-scoop cones and 130 double-scoop cones to make $565.

250 cones were used while selling yogurt and made $565.

There are two types of cones:

Single-scoop cone that cost $2.

Double-scoop cone that cost $2.50.

We need to know how many cones of each type were used while selling yogurt that made $565.

We will have to make two linear equations using the given statements and apply the substitution method to get our answer.

Consider,

x = single-scoop cone.

y = double-scoop cone.

Now, we can make two linear equations:

x + y = 250............(A)

2x + 2.50y = 565...............(B)

Apply substitution method.

From (A) we get,

x = 250 - y...............(C)

And putting x = 250 - y in (B) we get,

2 ( 250 - y ) + 2.50y = 565

500 - 2y + 2.50y = 565

0.50y = 565 - 500

0.50y = 65

y = 65 / 0.50
y = 6500 / 50

y = 130

Putting y = 50 in (C) we get,

x = 250 - 130

x = 120

We have,

x = 120 and y = 130

We see that we need 120 single-scoop cones and 130 double-scoop cones to make $565.

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Based on the diagram, there are 8 triangles in total

A triangle is a polygon with three sides and three angles.

Therefore, there are 8 triangles in the diagram.

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Answer:

3-x^2

Step-by-step explanation:

Let x be the number

The square is x^2

3 subtract the square of a number

3-x^2

Answer:

If... 6.4 inches : 16 dollars

Then... 32 inches = 80 dollars.  

And, 1 inch of track = 80/32 dollars.

80/32 = 2.5.

So, the answer is: 1 inch of track costs 2.5 dollars.

The  constant of proportionality is $2,50.

The equation used to represent direct proportionality is: y = kx

Where:

y = dependent variable

x = independent variable

k = constant of proportionality

Here, the dependent variable is the cost of the track. The independent variable is the length of the tracks.

$16 = 6.4k

k = 16 / 6.4 = $2.5

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Answer:

Step-by-step explanation:

The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.

For the integral from [0, 2], the equation of the line is -3x + 6;

For the integral from [2, 3], the equation of the line is 3x - 6.

We integrate then:

[tex]\int\limits^2_0 {-3x+6} \, dx+\int\limits^3_2 {3x-6} \, dx[/tex]    and

[tex]-\frac{3x^2}{2}+6x\left \} {{2} \atop {0}} \right. +\frac{3x^2}{2}-6x\left \} {{3} \atop {2}} \right.[/tex]  sorry for the odd representation; that's as good as it gets here!

Using the First Fundamental Theorem of Calculus, we get:

(6 - 0) + (-4.5 - (-6)) = 6 + 1.5 = 7.5

The value of the integral   [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex]  is -9/2.

The given integral is [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex]

We have to find the value of this integral.

We know that ∫xⁿ dx= xⁿ⁺¹/n+1

So,  [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex] = 3x²/2 -6x (from 0 to 3)

Apply the limits.

=3(3)²/2-6(3)

=27/2-18

=27-36/2

=-9/2.

Hence, the value of the integral   [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex]  is -9/2.

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