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Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

Answer:

The proportion of this group that likes chocolate is 0.625.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Likes sprinkles

Event B: Likes chocolate

25% of your friends who like Chocolate (C) also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.25[/tex]

40% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.4[/tex]

Of the friends who like sprinkles, what proportion of this group likes chocolate

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]

The proportion of this group that likes chocolate is 0.625.

Answer:

768 in.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.

The required line C is a transversal of lines a and b.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.

Thus, the required line C is a transversal of lines a and b.

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9514 1404 393

Answer:

  A

Step-by-step explanation:

Using m=3, n=5, x2=2, x1=-14, the only match is the first one.

The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]

The formula for expressing the midpoint of a line is expressed as:

[tex]M=\frac{m}{m+n} (x_2-x_1)+x_1[/tex]

Given the following parameters

m=3,

n=5,

x2=2,

x1=-14,

Substitute

[tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]

This given the correct expression for the point on the line

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Answer:

7.07 in^2 is what i got

Answer:

Linear expression is linear equations

Step-by-step explanation:

Answer:

[tex]x = 2.5[/tex]

Step-by-step explanation:

Given

[tex]AC = 2x - 1[/tex]

[tex]AB = 2x + 1[/tex]

[tex]BC = 2\sqrt{7[/tex]

[tex]\angle A = 60^{\circ}[/tex]

Required

Find x

To find x, we make use of cosine formula which states:

[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]

In this case:

[tex]BC^2 = AB^2 + AC^2 - 2*AB*BC*CosA[/tex]

Substitute values

[tex](2\sqrt{7})^2 = (2x + 1)^2 + (2x-1)^2 - 2*(2x + 1)*(2x - 1)*Cos(60^{\circ})[/tex]

Evaluate all exponents

[tex]4*7 = (4x^2 + 4x + 1)+(4x^2 - 4x + 1) - 2(4x^2 - 1)*cos(60^{\circ})[/tex]

Open brackets

[tex]28 = 4x^2 + 4x + 1+4x^2 - 4x + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Collect Like Terms

[tex]28 = 4x^2 +4x^2+ 4x - 4x+ 1 + 1 - (8x^2 - 2)*cos(60^{\circ})[/tex]

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*cos(60^{\circ})[/tex]

Substitute 0.5 for cos(60)

[tex]28 = 8x^2+ 2 - (8x^2 - 2)*0.5[/tex]

Open bracket

[tex]28 = 8x^2+ 2 - 4x^2 + 1[/tex]

Collect Like Terms

[tex]8x^2- 4x^2 + 2 + 1 - 28 = 0[/tex]

[tex]4x^2 -25 = 0[/tex]

Collect Like Terms

[tex]4x^2 =25[/tex]

Divide both sides by 4

[tex]x^2 =\frac{25}{4}[/tex]

[tex]x^2 =6.25[/tex]

Take positive square root of both sides

[tex]x = \sqrt{6.25[/tex]

[tex]x = 2.5[/tex]

Answer:

1

Step-by-step explanation:

SAS is one of the methods to define congruent triangles. When two sides and the angle between these two sides are specified, the triangle has been defined certainly.

Answer:

1

Step-by-step explanation:

becasue

Answer:

y=-49

Step-by-step explanation:

Answer:

v=-5 and v=3

Step-by-step explanation:

We are given that

[tex]v^2-15=-2v[/tex]

We have to find  two solutions of quadratic equation.

[tex]v^2+2v-15=0[/tex]

Using addition property of equality

[tex]v^2+5v-3v-15=0[/tex]   (By using factorization method)

[tex]v(v+5)-3(v+5)=0[/tex]

[tex](v+5)(v-3)=0[/tex]

Substitute each factor equal to 0

[tex]v+5=0[/tex] and [tex]v-3=0[/tex]

[tex]v=-5[/tex] and [tex]v=3[/tex]

Hence, two solutions of quadratic equation are

v=-5 and v=3

Answer:

the Y intercept is 6

Step-by-step explanation:

the Y intercept of a linear equation like that equation

any equation formed as: y=mx+b

B of the equation would always be the Y intercept

The y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.

In the equation y = -2x + 6, the y-intercept represents the value of y when x is equal to zero.

To find the y-intercept, we substitute x = 0 into the equation:

y = -2(0) + 6

y = 0 + 6

y = 6

Therefore, the y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.

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Answer:

Is that thick line an equal or a minis sign? I cant see it.

Answer:

4

Step-by-step explanation:

x must equal 2 and 2 to the power of 2 is 4

Answer:

4

Step-by-step explanation:

Original equation: 3x-1=5

Add 1 on both sides: 3x=6

Divide by 3 on both sides: x=2

If x=2, then x^2 = 4.

Let me know if this helps!

Answer:

m=2

Step-by-step explanation:

5-1/3-1

4/3-1

4/2

2

I hope this helps

Answer:

B=34

Step-by-step explanation:

2b-15+3b+25=180

5b+10=180

5b=170

b=34

Answer:

1.3 & 1/3

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.

Answer:

I don't get the question

Step-by-step explanation:

Answer: 48

Step-by-step explanation: all you have to do is subtract $128 by 80% that will equal 48

Your welcome!

Answer: False

Step-by-step explanation:

it’s usually 20%

Answer:

False

Step-by-step explanation:

1. Normally it is 20%.

2. Move yous decimal one place to the left

3. Round this number to the next easy coin amount

4. Double that number

That is roughly 20%

Answer:

The t-statistic for a hypothesis test that is designed to answer the question is 2.4.

Step-by-step explanation:

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the saple and n is the size of the sample.

A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50.

This means that [tex]\mu = 50[/tex]

A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.

This means that [tex]X = 56, s = 25, n = 100[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

[tex]t = \frac{56 - 50}{\frac{25}{\sqrt{10}}[/tex]

[tex]t = \frac{6}{2.5}[/tex]

[tex]t = 2.4[/tex]

The t-statistic for a hypothesis test that is designed to answer the question is 2.4.

Answer:

2a=3b

Step-by-step explanation:

b/a=2/3 not b/a =3/2

b/3=a/2 not b/2=a/3

2a/3=b not 3a/2=b

hope it's helpful ❤❤❤

THANK YOU

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

Answer:

h + 3

Step-by-step explanation:

Since Raj is 3 inches taller than Howard (h), Raj would be h + 3 inches taller than Raj, giving you your answer.

Answer:

h + 3

Step-by-step explanation:

h + 3

3 = they are 3 inches TALLER which means you need to add 3

h = Howards height

So all you would need to do is add Howards age by 3, and you will get Raj's height. They said that " Raj is 3 inches taller than Howard", so that means when you get Howard (h) you would need to add it by 3 (3 inches taller), and you will be able to get Raj's height.

Hope this helped!

Have a supercalifragilisticexpialidocious day!