Mr. Slater invested $100,000 in a portfolio that is contains 60% stocks and 40% bonds. Over the course of a year, the value of the stocks
increased to 67%, and the value of the bonds decreased to 33%. The current value of his investment is $118,400. How much should Mr. Slater
move from stocks to bonds to rebalance his portfolio to 60% stocks and 40% bonds?
A.
$8,900
OB. $8,500
C.
$8.288
D.
$8,100

Answer:

If you can't afford a new laptop computer, then you haven't got 400$.

Step-by-step explanation:

The contrapositive is:

If A implies B then not B implies not A.

Answer:

0.5 50/100 0.50

Step-by-step explanation:

Answer

h-7

Step-by-step explanation:

Final answer:

Given an angle θ in Quadrant IV with cotθ = -2/17, a right triangle is formed. Using the Pythagorean theorem, the hypotenuse is calculated, and the five additional trigonometric functions of θ are determined with appropriate signs for Quadrant IV.

Explanation:

If θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17, we can find the five remaining trigonometric functions.

The cotangent of an angle θ, which is the reciprocal of the tangent, tells us that the tangent of θ is -17/2. Since the angle is in Quadrant IV, where cosine and secant are positive but sine and cosecant are negative, we can form a right triangle within the coordinate plane to represent this scenario. In this triangle, the adjacent side (x) to the angle θ will be positive, and the opposite side (y) will be negative.

Using the Pythagorean theorem, if we assume the adjacent side to be 17 (because cotθ = adjacent/opposite), and the opposite side to be -2 (to make cotθ = 17/(-2) = -2/17), the hypotenuse (r) can be calculated as:

√(17² + (-2)²) = √(289 + 4) = √293

Now we can find the other five trigonometric functions:

The signs of these values are consistent with the properties of trigonometric functions in the fourth quadrant.

Answer:

50%

Step-by-step explanation:

Let X be the % of total that she has saved

X/100 x 75 = 37.50

75X = 37.50 x 100

X = 37.50 x 100 / 75

= 3750/75

= 50%

Answer:

Credit Card

Step-by-step explanation:

This is most likely a credit card.

You only need to put a special code in when you're inputting a credit cards pin number.

it is c my dudes yes hes yes

Answer:

13013

Step-by-step explanation:

Express each number in terms of the product of prime numbers.

91 = 7 × 13

143 = 11 × 13

169 = 13 × 13

Now consider the maximum number of times each factor occurs for each number.

The factor 7 occurs once

The factor 11 occurs once

The factor 13 is repeated twice ( maximum number of times for 1 number )

Thus LCM = 7 × 11 × 13 × 13 = 13013

91 = 7×13

143 = 11×13

169 = 13²

LCM = 7×11×13² = 77×169 = 13013

Answer:

If you mean Area=2 and Area=36units times 2 and Area=64units times 2, then the answer is that A = 64units times 2 would be the largest square.

Step-by-step explanation:

The larger the area, the larger the square. The first square has an area of 2. The second square has an area of 72, and the third square has an area of 128, so the third square is the biggest.

Answer:

  38.40 ft

Step-by-step explanation:

The problem statement tells you the proportion is ...

  height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)

Multiplying by 23.04 ft, we find ...

  tree height = (23.04 ft)(4/2.4) = 38.40 ft

The height of the tree is 38.40 ft.

Answer:

x = 12

Step-by-step explanation:

Answer:

The scenario that represents a 85% of success on a test is C. 102 out of 120 points

Step-by-step explanation:

Let's analyze which of the scenarios given, represent a 85% of success on a test, this way:

Scenario A:

56 out of 70 points = 56/70 = 0.8

This scenario represents a 80% of success

Scenario B:

78 out of 90 points = 78/90 = 0.867

This scenario represents a 86.7% of success

Scenario C:

102 out of 120 points = 102/120 = 0.85

This scenario represents a 85% of success

Answer:

1

Step-by-step explanation:

You need to do the opposite of multiplying which is dividing so divide 6/3= 2 then you divide 2/2 which is 1

(a) The simplified expression is [tex]\[-0.49 \cdot |x|^{18.5} \cdot i\][/tex]. (b) The simplified expression remains [tex]\[15\sqrt{x} + 0.16c^{12}\][/tex].

Let's simplify the given expressions step-by-step.

a) Simplify [tex]\(\sqrt{x} \cdot 0.49x^{18}\) for \(x < 0\)[/tex]

Since [tex]\(x < 0\), \(x\)[/tex] is negative. This affects the interpretation of [tex]\(\sqrt{x}\)[/tex] in the real numbers because the square root of a negative number is not real. However, if we consider complex numbers, we need to include the imaginary unit [tex]\(i\).[/tex]

Given:

[tex]\[\sqrt{x} \cdot 0.49x^{18}\][/tex]

First, let's express [tex]\(\sqrt{x}\)[/tex] in terms of the imaginary unit:

[tex]\[\sqrt{x} = \sqrt{|x|} \cdot i\][/tex]

Next, rewrite \(x^{18}\):

[tex]\[x^{18} = (x^2)^9 \\= |x|^{18} \cdot (-1)^9 \\= -|x|^{18}\][/tex]

Thus, the expression becomes:

[tex]\[\sqrt{|x|} \cdot i \cdot 0.49 \cdot -|x|^{18}\][/tex]

Simplify the coefficients and combine terms:

[tex]\[0.49 \cdot -1 = -0.49\\\sqrt{|x|} \cdot |x|^{18} = |x|^{\frac{1}{2}} \cdot |x|^{18} = |x|^{18.5}\][/tex]

Therefore, the simplified expression is:

[tex]\[-0.49 \cdot |x|^{18.5} \cdot i\][/tex]

b) Simplify [tex]\(15\sqrt{x} + 0.16c^{12}\)[/tex]

Here, [tex]\(x\) and \(c\)[/tex] can be anything.

Given:

[tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]

There are no common factors to combine these terms, so the expression is already simplified. The terms involve different variables and exponents, and cannot be further simplified together.

So the simplified expression remains [tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]

a) The simplified expression is [tex]\[-0.49 \cdot |x|^{18.5} \cdot i\].[/tex]

b) The expression remains as usual given in the question:

[tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]

The required values are WZ = 13.75 and YZ = 27.

A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.

As per question 1,

We have been given that ZX is the perpendicular bisector of WY

YZ = 13.75

13.75 + 13.75 = 27.5

27.5 / 2 = 13.75

WZ = 13.75

As per question 2,

We have been given that ZX is the perpendicular bisector of WY

WZ = 4n - 13 and YZ = n + 17

To find YZ

According to the property of the perpendicular bisector,

WZ = YZ

4n - 13 = n + 17

4n - n = 17 + 13

3n = 30

n = 30/3

n = 10

Substitute the value of n = 10 in YZ = n + 17

So, YZ = 10 + 17 = 27

Thus, the required values are WZ = 13.75 and YZ = 27.

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A) Equation: f = 2.75p

B) 38.5 cups of flour are needed to make 14 pound cakes

Step-by-step explanation:

A)

The table shows the following data:

Pound cakes, p  3 6 9

Cups of flour, f 8.25 16.5 24.75

From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:

[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]

This means that for each additional pound  cake, we need 8.25 more cups of flour.

This is a direct relationship between the two variables, therefore we can write their relationship using the equation:

[tex]f=2.75 p[/tex]

B)

Now we can complete the table.

We have to found how many cups of flour are needed when the number of pound cakes is

p = 14

In order to do that, we use the equation found in part A):

f = 2.75p

And substituting p = 14 into the equation, we find

f = (2.75)(14)= 38.5

Which means that 38.5 cups of flour are needed to make 14 pound cakes.

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Answer:

Step-by-step explanation:

Supplementary: ADC

Complementary: AC

Adjacent: ABC

Hope this helps.

The vertex of the function is (-6,-36).

Step-by-step explanation:

f(x) = x²+ 12x

From the above function, we can find the x- coordinate of the vertex as,

x = -b/2a

Here a = 1, b = 12

Plugin the values as,

x = -12 /(2×1) = -6

Now plug in the x value in the above function, we will get y as,

f(x) = y = x² + 12x = (-6)² + 12(-6)

                           = 36-72 = -36

So the vertex is (-6, -36).

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]

Solution:

Given trignometric expression is:

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x}[/tex]

We have to evaluate the above expression

Let us use the trignometric identities

[tex]sin^2x + cos^2x = 1[/tex]

Also, use another trignometric identitiy

[tex]1 + cot^2x = cosec^2x[/tex]

Therefore, upon rearranging we get,

[tex]cot^2 x -cosec^x = -1[/tex]

Apply these two identities in given expression

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = \frac{1}{-1}\\\\\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]

Thus value of given expression is -1

Distributive property: 5y-3y-6

Combine like terms: 2y-6

So there's your answer

To simplify the given expression, distribute the -3 to both terms inside the parentheses, then combine like terms.

To simplify the expression 5y - 3(y + 2), we need to follow the order of operations, which is parentheses first, then multiplication and division, and finally addition and subtraction.

First, distribute the -3 to both terms inside the parentheses:

5y - 3 * y - 3 * 2

Now, simplify each term:

5y - 3y - 6

Combine like terms:

2y - 6

This is the simplified form of the given expression.

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Answer:

Each ticket cost $13

Step-by-step explanation:

Day 1-- 1 adult and 8 child ticket= Total of 9 tickets = $117

Day 2--6 adult and 8 child ticket= Total of 14 = $182

Brainliest please :)

Answer: Molly will have to save $10 each week for 9 weeks to get $189.

Step-by-step explanation:

Start at $99, count $10 every week until you get $189. Your answer is 9 weeks.

Answer:

used an interest calculator

Answer:

The answer is A

Step-by-step explanation:

B (1/4x)^2 will widen the parabola

C 4x^2 is too wide to be g(x)

D (16x)^2 is too narrow to be g(x)

A is the correct answer. When graphed on desmos . com / calculator it shows this is the correct answer. I hope this helped!

Answer:

936

Step-by-step explanation:

1 x 12 x 13 x 6= 936

Here is some evidence

Answer:36

Step-by-step explanation: L•w/2 = A for triangular

The height of the liquid in the new cylinder is about 1.72 cm

Step-by-step explanation:

The formula of the volume of a cylinder is V = πr²h, where

∵ The volume of the liquid = 36 cm³

∵ The liquid is poured into another cylinder with radius 3 cm

∵ The radius of the base = 3 cm

- To find the height of the liquid in the new cylinder equate the rule

   of the volume by 36

∵ V = πr²h

∴ π(3)²h = 36

∴ 9πh = 36

- Divide both sides by 9π

∴ h = 1.273239545

The height of the liquid in the new cylinder is about 1.72 cm

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Answer:

225

Step-by-step explanation:

Total number of students =300

75% have had algebra

Number of students that have had algebra will be

= 75%/100% x 300

= 0.75 x 300

= 225

So, 225 of the 300 students have had algebra

Answer:225 students

There are 2 simple ways to get the answer.

Answer: Yes it is

Step-by-step explanation: In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set

Answer:  

yes

hope this helps

The probability of drawing two black balls from a bag containing 5 white and 5 black balls is 2/9 (approximately 0.22) if you do not replace balls after drawing them, and 1 if you replace any white balls that are drawn.

This question relates to the concept of probability in mathematics. The total number of balls in your bag is 10 (5 white balls and 5 black balls). If you want to draw two black balls, the probability will change based on the conditions of the question.

a) For the first draw, there are 5 black balls out of a total of 10 balls, so the probability is 5/10 or 0.5. If a black ball is drawn in the first draw, there are now 9 total balls and 4 of them are black, so the probability for the second black ball is 4/9. For both balls to be black, multiply the individual probabilities: (5/10) * (4/9) = 20/90 = 2/9 approximately equal to 0.22.

b) If you draw two balls and put back any white balls, then redraw until you have two balls, you are essentially ensuring that white balls are not counted. In this case, every draw will either be a black ball or a redraw with a white ball, so the probability is essentially 1 that you will eventually draw a black ball. Therefore, the probability of drawing two black balls using this method is (1/1) * (1/1) = 1.

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Answer:

All of the following fractions work: 1/2, 7/12, 8/12. There are endless possibilities.

Please mark as Brainliest! :)

Answer:

6/12 ; 7/12 ; 8/12

Step-by-step explanation:

³⁾3/4 = 9/12

5/12 < 6/12 < 7/12 < 8/12 < 9/12

Answer:

D

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

22 - 30 = - 8

14 - 22 = - 8

6 - 14 = - 8

To obtain a term in the sequence subtract 8 from the previous term, thus

6 - 8 = - 2

- 2 - 8 = - 10

- 10 - 8 = - 18

The next 3 terms in the sequence are - 2, - 10, - 18 → D