a how much will he have in 4. At the age of 30, Jasmine started a retirement account with $50,000 which compounded interest semi-annually with an APR of 4%. She made no further deposits. After 25 years, she decided to withdraw 50% of what had accumulated in the account so that she could con- tribute towards her grandchild's college education. She had to pay a 10% penalty on the early withdrawal. What was her penalty?​

Answer:

i'll answer the question after you clarify for me,  if f(x) =-2x +3

then f (this is what you need to clarify for me please, theres 2 end parenthesis, but no start parenthesis and 2 numbers and 2 equal signs. what needs solved?)

Step-by-step explanation:

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer: To find the percent increase in average movie theater ticket price, you can use the formula:

percent increase = (new value - old value) / old value * 100

Plugging in the values, we get:

percent increase = ($8.53 - $6.96) / $6.96 * 100 = 22.9%

So, the percent of increase in average movie theater ticket price for the 10-year period from 2007 to 2017 is 22.9%.

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.

f(g(-3))

means find g(-3) first, then put that answer into f.

g(x) = x - 7

g(-3) = -3 - 7

g(-3) = -10

We found g(-3) is -10, so now put -10 into f.

f(x) = 2x + 5

f(-10) = 2(-10) + 5

= -20 + 5

= -15

The percentage of students who do not walk to class and do not have a lunchbox is 28.25 %.

From the illustration:

Total number of students = 400

Number of students that do not walk and do not have a lunchbox = 113

Percentage component = number of component/total number x 100

Thus:

Percentage of students who do not walk to class and do not have a lunchbox:

  = 113/400 x 100%

  = 28.25 %

To the nearest hundredth = 28.25%

In other words, the percentage of students who do not walk to class and do not have a lunchbox is 28.25%.

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Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

Answer:

70% of the reports will take 525 minutes (8 hours, 45 minutes) to file.

Step-by-step explanation:

Given;

total number of Meredith's report, N = 10

average time taken for each report to be filed is, t = 75 minutes per report

let the total time for the 10 reports = T

\(\frac{T}{N} = t\\\\T = N*t \\\\T = 10 *75\\\\T = 750 \ minutes\)

The total time for the 10 reports is 750 minutes.

Time taken to file 70 % of 10 reports = (0.7 x 10) x (75 mins)

                                                             = 0.7 x 750

                                                             = 525 minutes (8 hours, 45 minutes)

Therefore, 70% of the reports will take 525 minutes (8 hours, 45 minutes) to file.

Answer: y=-7x-0 if solving for literal y or x=y+0/-7 if solving for literal x.

Step-by-step explanation:

-7x-y=0

add (+) 7x to both sides

-y=7x+0

then divide by -1

y=-7x-0

-------------------------------------

for literal X

-7x-y=0

add y to both sides

-7x=y+0

then divide by -7\

x=y+0/-7

Hello! :)

1/10 of 9000 is 900

9000 divided by 10 is 900

900 times 10 equals 9000

The answer would be 900.

Hope this helped you!

THEDIPER

The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

B

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\) , then

\(6^{9}\) ÷ 6³ = \(6^{(9-3)}\) = \(6^{6}\)

Answer:

Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm

Step-by-step explanation:

For the diagram given the area of total figure is deduced as 108 ft²

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

There are three rectangles in the given figure.

The formula for the area of rectangle is -

Area = length × breadth

For the rectangle 1, the dimensions are given as -

Length X = 7 feet, Breadth W = 4 feet

Area R1 = length × breadth

Substitute the values in the equation -

Area R1 = 7 × 4

Area R1 = 28 ft²

For the rectangle 2, the dimensions are given as -

Length = V + Z, Breadth = Y - (W + U)

Length = 8 + 4, Breadth = 14 - (4 + 5)

Length = 12 feet, Breadth = 5 feet

Area R1 = length × breadth

Substitute the values in the equation -

Area R2 = 12 × 5

Area R2 = 60 ft²

For the rectangle 3, the dimensions are given as -

Length Z = 4 feet, Breadth U = 5 feet

Area R3 = length × breadth

Substitute the values in the equation -

Area R3 = 4 × 5

Area R3 = 20 ft²

The total area of the rectangle is -

Total area = Area R1 + Area R2 + Area R3

Substitute the values in the equation -

Total area = 28+ 60 + 20

Total area = 108 ft²

Therefore, the total area is obtained as 108 ft².

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The bisector of an angle construction is illustrated above the perpendicular to a given line. Here option C is the correct answer.

If a line or ray splits an angle into two equal angles, it is said to be an angle bisector. These angles will agree since they are equal.

Think about the angle ∠ABC being bisected by a line MB, as depicted in the accompanying image (a).

The angle ∠ABC is divided by this line MB into two equal angles, the angle ∠ABM and the angle ∠CBM.

The angles ∠ABM and ∠CBM are congruent.

Alternatively put, m ∠ABM  = m ∠CBM.

Since this line MB divides the angle ∠ABC into two equal angles, the angle ∠ABM and the angle ∠CBM, "the bisector of an angle" would be the appropriate response.

Complete question:

Which construction is illustrated above?

A - a perpendicular to a given line at a point on the line

B - an angle congruent to a given angle

C - the bisector of an angle

D - a line segment congruent to a given line segment

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The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

D. 4, 5, 6, then 

H² = P² + B²

6² = 5² + 4²

36 = 25 + 16 

36 ≠ 41

This is not Pythagorean triple.

The volume of the cone is 314cm³

A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.

The volume of the cone is 1/3πr²h

h²= 13²-5²

h = √169 - 25

h = √144

h = 12 cm

V = 1/3πr²h

V = 1/3 ×3.14 × 5² × 12

V = 942/3

V = 314 cm³

therefore the volume of the cone is 314cm³

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

The sequence is Geometric sequence

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

2730 possible ways

Step-by-step explanation:

Given

\(Applicants = 15\)

\(Positions = 3\)

Required

Number of possible selections

Since there is no restriction, the number of selection is calculated as:

The day nursing supervisor position can be occupied by any of the 15 applicants

The night nursing supervisor position can be occupied by any of the remaining 14

The nursing coordinator position can be occupied by any of the 13

So, the number of ways is then calculated as:

\(Ways = 15 * 14 * 13\)

\(Ways = 2730\)

Hence, there are 2730 possible ways

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer:

makes no sense

Step-by-step explanation:

Answer:

I believe there is supposed to be something in the the corner box (Top left).

Step-by-step explanation:

When talking about launching a watermelon, what heights make sense to talk about?

Can the watermelon be 10 feet in the air?  Sure.

Can the watermelon be on the ground (height = 0 ft)?  Sure.

Can the watermelon be 10 feet below the ground? Eh... not really.

So in context, the only heights that make sense are when the watermelon is on the ground or in the air. That's the highlighted part of the graph below.

So what is the domain of just that highlighted portion?

To answer the second question, remember that the watermelon being on the ground is the same as it's height being 0 ft, or h=0. That's the same thing as the x-axis. So when does the watermelon hit the ground? When the graph hits the x-axis.

Time can never be negative

We can't use domain (-oo,oo) although its shown in graph

The appropriate domain is that interval where the melon went up and hit the ground

Close intervals

If we find range then. that's

-oo is given because the melon may have travelled few ins inwards the ground

Answer:

  0

Step-by-step explanation:

If we solve the inequality for y, we get ...

  1/2 > y . . . . divide both sides by 2

That is true only for the value 0 from the given set.

Answer:

The proportion of apple juice  

                               \(p = \frac{3}{10} = 0.3\)

Step-by-step explanation:

Given that fruit cocktail, for every 25ml of orange juice

Given that 30ml of apple juice

Given that 45ml of coconut milk

we need to find the proportion of apple juice

The proportion of apple juice

    \(p = \frac{x^{-} }{n} \\ = \frac{30}{100} \\\)

  \(p = \frac{3}{10}\)

The proportion of apple juice      \(p = \frac{3}{10}\)

The exponential decay function to model this situation is P(t) = 1500(0.96)^t

From the question, we have the following parameters that can be used in our computation:

Initial population = 1500

Rate = 4% per year decreasing

Using the above as a guide, we have the following:

P(t) = Initial population * (1 - Rate)^t

So, we have

P(t) = 1500(1 - 4%)^t

P(t) = 1500(0.96)^t

In 2009, we have

y = 6

So, we have

P(6) = 1500(0.96)^6

P(6) = 1174

Hence, the population is 1174 in 2009

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