Which is the best approximation to a solution of the equation e x = 2x + 3?

0
1
2
3

The difference in cost between paying off a $3,200 balance one day later versus 30 days later is the interest accumulated over those 29 days. The daily interest rate is calculated from the annual percentage rate (APR), and then multiplied by the balance and the number of days.

When you have a credit card debt with an Annual Percentage Rate (APR) of 24.31%, interest is accrued daily on the current balance. Therefore, the difference between paying off your $3,200 debt one day later as opposed to 30 days later would essentially be the interest charged over the course of those additional 29 days.

Since APR is annual, the daily interest rate is calculated by dividing the APR by 365. In this case, the daily percentage rate is 0.0666%. Multiply this by the balance ($3,200) to calculate the approximate interest for one day. To find the total for 30 days, simply multiply the one day interest by 30.

However, do note that real-life calculations might be slightly different due to varying bank policies on compounding interest.

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By paying off the balance 1 day later, you would save $62.36 compared to paying it off 30 days later.

To calculate the amount of money saved by paying off the credit card balance 1 day later as opposed to 30 days later, we need to consider the interest charged on the outstanding balance. The credit card has an APR of 24.31% on purchases. We can use the formula:

Interest = (Principal x Rate x Time) / 365

Let's calculate the interest for 1 day and for 30 days and find the difference:

By paying off the balance 1 day later, you would save $62.36 compared to paying it off 30 days later.

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Answer:

  42 feet

Step-by-step explanation:

The vertex of the quadratic function described by the equation is located at ...

  t = -(40)/(2(-10)) = 2

The value of height at t=2 is ...

  h = -10(2²) +40(2) +2 = -40 +80 +2 = 42 . . . . feet

The maximum height is 42 feet.

_____

The equation gives the vertical speed at t=0 as 40 ft/sec, which is in contradiction to the number given in the problem statement as the initial velocity. We have used the given equation to answer the question. Since we don't know the throwing direction, we cannot properly adjust the equation to match the description of the scenario.

Answer:

60 ADULT TICKETS

40 KIDS UNDER 12 TICKETS

Step-by-step explanation:

By playing around with numbers, you can figure out what makes this situation true. By multiplying 4.50 by 60, you get 270. Then, by multiplying 2 by 40, you get 80. Finally, add 270 and 80, which results in 350, which satisfies the problem.

Hope this helps!

By setting up a system of equations, we find that 60 adult tickets and 40 kids tickets were sold for the Saturday matinee when 100 tickets are sold for a total of $350.

Let x be the number of adult tickets sold and y be the number of kids tickets sold. We then have the following system of equations:

x + y = 100 (Total number of tickets)

$4.50x + $2.00y = $350 (Total revenue)

2x + 2y = 200

4.5x + 2y = 350

2.5x = 150

x = 60

y = 100 - 60 = 40

So, 40 kids tickets were sold.

Answer:

A nice way to show it is through the unit circle.

In the unit circle, the point at angle theta from the origin has a y value of sin theta.

If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).

Answer:

The verification is in the explanation.

Step-by-step explanation:

To solve this I'm going to use the difference identity for sine:

[tex]\sin(a-b)=\sin(a)\cos(b)-\sin(b)\cos(a)[/tex].

[tex]\sin(360^\circ-\theta)=\sin(360^\circ)\cos(\theta)-\sin(\theta)\cos(360^\circ)[/tex]

We are going to apply that [tex]\sin(360^\circ)=0 \text{ while } \cos(360^\circ)=1[/tex]

[tex]\sin(360^\circ-\theta)=0 \cdot \cos(\theta)-\sin(\theta)\cdot 1[/tex]

[tex]\sin(360^\circ-\theta)=-\sin(\theta)[/tex]

Your answer is 3,147,200 water-filled drinking glasses.

The first thing I would do is change the value of 1,600 water-filled drinking glasses to be equivalent to the total that would result from 281 Americans.

To do this, you just want to multiply 1,600 by 281, as the value of 1,600 is from one person, and for 281 people, the 1,600 would happen 281 times.

1,600 * 281 = 449600

Next, since the value of 449,600 is for 281 Americans in one day's time, multiply by 7 to make it equal to one week's time. This is because one week = 7 days, so the 449,600 total would happen 7 times in one week.

449,600 * 7 = 3,147,200

Therefore, your answer is 3,147,200.

Hope this helps!

In a week 281 Americans will use 3,147,200 water-filled drinking glasses.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Each day one person uses 1,600 water-filled drinking glasses.

∴ In a week the person will uses (1600×7) = 11200 water-filled drinking glasses.

∴ 281 will use (11200×281) = 3,147,200 water-filled drinking glasses.

learn more about numerical expressions here :

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Answer:

5 : 00 PM

Step-by-step explanation:

Given,

Church ring bells every 15 minutes,

School rings its bells every 20 minutes,

And, day care center rings its bells every 25 minutes,

Thus, the number of minutes after which they will ring together = LCM (15, 20, 25)

∵ 15 = 3 × 5,

20 = 2 × 2 × 5,

25 = 5 × 5,

Thus, LCM (15, 20, 25) = 300

Now, 1 minute = 1/60 hours ⇒ 300 minutes = 5 hours,

Hence, after 5 hours they will ring together,

If they rang at 12:00 PM,

Then they will ring after 5 hours that is 5:00 PM.

Answer:

1

Step-by-step explanation:

Please use parentheses around the coordinates of your points:

(1, 4); (0.5, 3.5), etc.

If we go from (0.5, 3.5) to (1, 4), x increases by 0.5 and y increases by 0.5.  

Thus the slope is m = rise / run = 1/1 = 1.

This is the average rate of change for the sequence shown.

The average rate of change for the sequence shown on the coordinate plane is calculated by finding the ratio of the differences in y-values to differences in x-values. For the given sequence, this average rate of change is 1.

The average rate of change in a sequence given by a series of points on a coordinate plane can be calculated by finding the difference between the y-values divided by the difference in x-values. For the given points 1, 4; 0.5, 3.5; 0, 3; and negative 0.5, 2.5, we have:

So, the average rate of change for the sequence shown is 1.

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Answer:

124cm.³

Step-by-step explanation:

V = whl

You will do this: [2][3][8] + [3][4][5]. After finding the volume of both prisms, add them up.

I hope this helps, and as always, I am joyous to assist anyone.

Answer:

[tex](x^{2} +x+1)(x-1)+2[/tex]

Step-by-step explanation:

The synthetic division can be used to divide a polynomial function by a binomial of the form x-c, determining zeros in the polynomial.

step 1:  Establish the synthetic division, placing the polynomial coefficients in the first row (if any term does not appear, assign a zero coefficient) and to the extreme left the value of c.

1 |     1   0   0   1

step 2: Lower the main coefficient to the third row.

1 |     1   0   0   1

       1

Step 3: Multiply 1 by the main coefficient 1.

1 |     1   0   0   1

            1

       1

step 4: Add the elements of the second column.

1 |     1   0   0   1

            1

       1    1

step 5: Then repeat step 4 until the constant term 1 is reached.

1 |     1   0   0   1

            1    1    1

       1    1   1     2

step 6: Enter the quotient and remainder

quotient:  [tex]x^{2} + x + 1[/tex]

remainder:  2

Solution:   [tex]x^{2} + x + 1[/tex] [tex](x+1)  + 2[/tex]

Answer:

x^2+x+1+[tex]\frac{2}{x-1}[/tex]

Step-by-step explanation:

The quick ratio is a measure of a company's liquidity. It calculates a company's ability to pay off its current liabilities with its most liquid assets. The Golden Braid Bookstore has a quick ratio of 4.75.

The quick ratio, also known as the acid-test ratio, is a measure of a company's liquidity. It calculates a company's ability to pay off its current liabilities with its most liquid assets. The formula for the quick ratio is:

Quick Ratio = (Cash + Accounts Receivable) / Current Liabilities

In this case, the Golden Braid Bookstore has $340,000 in cash and $40,000 in accounts receivable. Its current liabilities include $65,000 in accounts payable and $15,000 in other current liabilities. Plugging these values into the formula:

Quick Ratio = (340,000 + 40,000) / (65,000 + 15,000)

Quick Ratio = 380,000 / 80,000

Quick Ratio = 4.75

Therefore, the Golden Braid Bookstore has a quick ratio of 4.75.

Answer:

Tasha made her mistake in step 4.

Answer:

Step 4 is the incorrect.

Step-by-step explanation:

From the table attached,

Step 1. Find a pattern in the table.

Correct

Step 2. Find the value of [tex]4^{-3}=(\frac{1}{16})(\frac{1}{4})=\frac{1}{64}[/tex]

Correct

Step 3. Find the value of [tex]4^{-4}=(\frac{1}{64})(\frac{1}{4})=\frac{1}{256}[/tex]

Correct

Step 4. Rewrite the value of [tex]4^{-4}[/tex]

[tex](\frac{1}{256})=-\frac{1}{4^{-4} }[/tex]

Incorrect.

Because it should be [tex](\frac{1}{256})(\frac{1}{4})=\frac{1}{1024}[/tex]

here is the solution.

Please let me know if the answer is different and also if you don't understand.  

Final answer:

The expression for the combined total profit made by TechWiz Electronics from MP3 and DVD players last week is 17x + 2754.

Explanation:

The profit TechWiz Electronics made from selling MP3 players can be represented by the expression 35x, where x is the number of MP3 players sold.

The profit from selling DVD players can be represented by the expression 18(153-x), where 153 is the total number of players sold and x is the number of MP3 players sold.

To find the combined total profit, we can add these two expressions together:

Combined Total Profit = 35x + 18(153-x)

Using the distributive property, we can simplify as:

Combined Total Profit = 35x + 2754 - 18x

Combining like terms, we can simplify further:

Combined Total Profit = 17x + 2754

Therefore, the expression for the combined total profit TechWiz made from MP3 and DVD players last week is 17x + 2754.

Answer:  [tex]\bold{a)\quad \dfrac{BC}{FG}=\dfrac{BE}{FI}}[/tex]

                b) ∠H

                c) ∠E

Step-by-step explanation:

I find it easiest to do these problems if I write one polygon on top of the other.  That way I can easily see the angles and sides that match.

B C D E

F G H  I

a) BC matches to FG and FI matches to BE

   The proportion is:   [tex]\dfrac{BC}{FG}=\dfrac{BE}{FI}}[/tex]

*****************************************************************************************

b) What matches with ∠D? Look at the letter below to see that it is ∠H

******************************************************************************************

c) What matches with ∠I? Look at the letter above to see that it is ∠E

Answer:D

Step-by-step explanation:it’s a supplementary angle which measures 180 degree now subtract side T=79 degrees by the 180 degree= 101

Answer:

C. 93°

Step-by-step explanation:

A rhombus must have 360° in total. You can add all of the numbers you have right in the shape and use to subtract from 360. You will get 93°

You can also see that the angle is nearly 90° Then you would know that it is 93°.

Answer:

  Stretch in any direction (horizontal or vertical) means the corresponding coordinates are multiplied by the stretch factor: a horizontal stretch multiplies the x-coordinates by the stretch factor; a vertical stretch multiplies the y-coordinates by the stretch factor.

Step-by-step explanation:

If you know the coordinates, you can apply the stretch factor directly to the coordinates.

For example, consider the point (5, 25).

A horizontal stretch (only) by a factor of 3 will move this point to (15, 25).

A vertical stretch (only) by a factor of 3 will move the original point to (5, 75).

Note that only the corresponding coordinate is multiplied by 3.

___

The confusion can arise when this stretch concept is applied to the transformation of a function.

Consider the function f(x) = x^2. The point used in the example above is ...

  (5, f(5))

Vertical Stretch Function Transformation

If we want to transform the function to one that is vertically stretched by a factor of 3, we can simply multiply the function value by 3:

  g(x) = 3·f(x)

Then ...

  (5, g(5)) = (5, 75) . . . . . . the location of the vertically stretched point in the above example.

Horizontal Stretch Function Transformation

If we want to stretch the above f(x) function horizontally by a factor of 3, we want a h(x) function that will produce the point (15, h(15)) = (15, 25). We can get that using f(x), but the argument to f(x) for that y-coordinate must be 5, not 15. This means the transformation must be ...

  h(x) = f(x/3)

Dividing the function argument by the stretch factor means the argument must be larger by that factor in order to give the same function result.

  (15, 25) = (15, h(15)) = (15, f(15/3)) = (15, f(5))

_____

Summary

Vertical stretch of a coordinate by the factor "a": (x, y) ⇒ (x, ay)

Vertical stretch of a function by the factor "a": g(x) = a·f(x)

__

Horizontal stretch of a coordinate by the factor "a": (x, y) ⇒ (ax, y)

Horizontal stretch of a function by the factor "a":

  (x, y) ⇒ (ax, h(ax)), where h(x) = f(x/a), so h(ax) = f(ax/a) = f(x)

Answer:

d

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1

= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms

= - x³ - 3x² + 2x + 4 → d

Answer:

answer is 7

Step-by-step explanation:

4b squared minus 9,16 is 4b squared because 4 time 4 is 16.thats how you would solve squared.then you want to minus 16 by 9,then your answer should be 7.

Answer:

(2b - 3)(2b + 3)

Step-by-step explanation:

4b² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

4b² = (2b)² ⇒ a = 2b and 9 = 3² ⇒ b = 3, so

4b² - 9 = (2b)² - 3² = (2b - 3)(2b + 3)

Answer:

223

Step-by-step explanation:

i honestly dont even know

Answer:b y=470+50x

Step-by-step explanation:

Answer:

neither significantly low nor significantly high.

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Since there are a total of 1400 births we can easily calculate that half of that number is 700. Since the total number of girls born are 698 we can see that it is basically half of the total number of births. Therefore I can subjectively state that this number is neither significantly low nor significantly higher. There are almost an equal number of girls being born than there are boys.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Final answer:

Using subjective judgment, the number of girls in 1400 births being 698, as opposed to the expected 682.9 based on the natural ratio, is not significantly high. For the China birth ratio study, the observed 40% girl births in a sample of 150 is lower than the reported 46.7% but requires statistical analysis to determine significance.

Explanation:

When assessing whether a particular set of birth data is significantly high or low, we must compare the observed data to the expected birth ratio. The natural ratio of girls to boys is typically close to 100:105, as mentioned in the Newsweek article. In the case of the 1400 randomly selected births with 698 being girls, we can calculate the expected number of girls using the natural ratio.

Expected number of girls = Total births × Expected ratio of girls = 1400 × (100 / (100+105)) = 1400 × (100 / 205) ≈ 682.9

Comparatively, 698 girls is slightly above what we would expect naturally, but to judge if this is significantly high or not, we would typically perform a statistical test such as a chi-square test. However, using subjective judgment, we may find that the difference of 698 observed minus 682.9 expected is not large enough to be considered significantly high, particularly without calculated statistical significance.

In the example using maternity ward probabilities, the chances of different numbers of boys being born to six women can be calculated using binomial probabilities. For instance, the probability of exactly one boy being born is (6 choose 1) × (0.5)1 × (0.5)5 = 0.09375 or 9.375%.

Regarding the birth ratio in China—using your study showing 60 girls out of 150 births, which gives a percentage of 40%, is lower than the reported 46.7%. Before drawing conclusions from this study, it's important to consider sample size and variability to determine if the study results are statistically significant.

Answer:

  d.  2/5+1/3=11/15

Step-by-step explanation:

The commutative property of addition allows you to change the order of the operands in a sum. 2/5 is the second operand in the original sum; it is the first operand in selection D.

Answer:

$1,890

Step-by-step explanation:

Without including repeated instances of games (for instance, if I said that team 4 plays team 2 twice, then that would just be repeating when I already said that team 2 plays team 4 twice):

Team 1 plays:

teams 2, 3, 4, 5, 6, and 7 twice for a total of 12 games

Team 2 plays:

teams 3, 4, 5, 6, and 7 twice for a total of 10 games

Team 3 plays:

teams 4, 5, 6, and 7 twice for a total of 8 games

Team 4 plays:

teams 5, 6, and 7 twice for a total of 6 games

Team 5 plays:

teams 6 and 7 twice for a total of 4 games

Team 6 plays:

team 7 twice for a total of 2 games

--

Total it up:

[tex]12+10+8+6+4+2\\22+8+6+4+2\\30+6+4+2\\36+4+2\\40+2\\42[/tex]

Multiply by cost per game.

[tex]42*45=1890[/tex]

75 percent of the art club members voted in the election.

To calculate the percentage of art club members who voted in the election, use the formula for percentage: part/whole *100. In this case, the part is the number of members who voted, and the whole is the total number of members in the art club.

Here's the step-by-step calculation:

Count the number of members who voted: 9.

Count the total number of members in the art club: 12.

Divide the number of voters by the total number of members: 9 / 12 = 0.75.

Multiply the result by 100 to get the percentage: 0.75 * 100 = 75%.

Therefore, 75 percent of the art club members voted in the election.

Answer:

The probability is 14/55

Step-by-step explanation:

The word replacement contains 11 letters.

In which 4 letters are vowel = e,a,e,e

And 7 letters are not vowel = r,p,l,c,m,n,t

The probability of getting the vowel in the first try = 4/11

The probability of getting something that is not a vowel = 7/10.

The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.

Multiply the values:

=4/11 * 7/10

=28/110

=14/55

The probability is 14/55....

Answer:

Symmetric about the y-axis only

Step-by-step explanation:

Graph the function using a calculator

alternatively,

Sketch the graph via the following steps

-sketch cosθ

- reflect about the x-axis to get (- cosθ)

- multiply vertex values by 4 to get -4cosθ

- shift the graph in the positive y direction by 4 units to get 4 - 4cosθ

you will end up with the attached graph:

By observation, we can see that the graph is

1) NOT symmetric about the x-axis

2) Symmetric about the y-axis

3) Not symmetric bout the origin

to run a symmetry test on a polar, we can simply do a few ( r , θ ) replacements, if the equation resulting from the replacements, resembles the original, then it has that symmetry type, now, let's recall the symmetry trigonometry identity, cos(-θ) = cos(θ).

[tex]\bf r=4-4cos(\theta ) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{testing with respect to the y-axis, using }-r,-\theta ~\hfill }{(-r)=4-4cos(-\theta )\implies -r=4-4cos(\theta )}\implies r=-4+4cos(\theta )~\hfill \bigotimes \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{testing with respect to the x-axis, using }-\theta ~\hfill }{r=4-4cos(-\theta )\implies r=4-4cos(\theta )}~\hfill \stackrel{\textit{symmetry with respect}}{\textit{to x-axis}~\hfill }\textit{\Large\checkmark} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{testing with respect to the origin, using }-r~\hfill }{(-r)=4-4cos(\theta )\implies r=-4+4cos(\theta )}~\hfill \bigotimes[/tex]

Answer:

376

Step-by-step explanation:

This is a subtraction problem.

1,213 - 837 =

   1,213

-    837

-----------

     376

Answer: 376

Answer:376

Step-by-step explanation:1213-837=376

Answer:

2x³  + 10x² + x + 5

Step-by-step explanation:

The coefficients of the dividend are represented by the top row, that is

2  10  1  5 → 2x³ + 10x² + x + 5

The divisor is ( x + 5) and

the quotient is represented by the first 3 numbers on the bottom row

2  0  1 → 2x² + 1

The last zero on the same row is the remainder

Since zero this indicates that (x + 5) is a factor of 2x³ + 10x² + x + 5

Answer:

b

Step-by-step explanation:

Answer:

  It is similar to triangle ABC and has coordinates A'(8,-12). B'(4, -16), and C'(-20, 8).

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor:

  A' = 2A = 2(4, -6) = (8, -12) . . . . A' for example

Dilated figures cannot be congruent if the dilation factor is not 1. They are always similar.

The appropriate description is the one shown above.

The dilated triangle A'B'C' with vertices A'(8, -12), B'(4, -16), and C'(-20, 8) is similar but not congruent to triangle ABC because the triangle's sides are proportional but not identical in length due to the scale factor of 2.

The question concerns the concept of dilation of geometric figures and whether the dilated triangle A'B'C' is similar or congruent to the original triangle ABC. When a figure is dilated by a scale factor, the coordinates of the vertices are multiplied by that factor. Given vertices A(4, -6), B(2, -8), and C(-10, 4) and a scale factor of 2, the coordinates of the dilated triangle A'B'C' should be A'(8, -12), B'(4, -16), and C'(-20, 8).

To determine similarity or congruence, we need to look at the properties of the triangles. Since the lengths of the sides of triangle A'B'C' are twice those of triangle ABC, the triangles are similar because their corresponding angles are equal and their corresponding sides are proportional. However, they are not congruent because their sides are not equal in length.

Answer:

The function graphed is y = Ix - 5I - 4 ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve this problem

- From the graph

# The graph intersects the x-axis at x = 1 and x = 9

∴ The x-intercepts are 1 and 9

- We can find x-intercept by equate y by 0

* Lets equate the answers by zero to find the x-intercept

# y = Ix + 5I - 4

∵ Ix + 5I - 4 = 0

- Add 4 to both sides

∴ Ix + 5I = 4

- Remember in Ia + bI = c, then we have two answers :

 a + b = c  OR a + b = -c

∵ Ix + 5I = 4

∴ x + 5 = 4 ⇒ subtract 5 from both sides

∴ x = -1

- OR

∴ x + 5 = -4 ⇒ subtract 5 from both sides

∴ x = -9

∴ The x-intercepts are -1 and -9 not the same with figure

# y = Ix - 5I + 4

∵ Ix - 5I + 4 = 0

- Subtract 4 from both sides

∴ Ix - 5I = -4

- Remember in Ia + bI = c , c can't be negative because the absolute

 value is always positive

∴ We can't solve this equation

# y = Ix + 5I + 4

∵ Ix + 5I + 4 = 0

- Subtract 4 from both sides

∴ Ix + 5I = -4

- Remember in Ia + bI = c , c can't be negative because the absolute

 value is always positive

∴ We can't solve this equation

# y = Ix - 5I - 4

∵ Ix - 5I - 4 = 0

- Add 4 to both sides

∴ Ix - 5I = 4

- Remember in Ia + bI = c, then we have two answers :

 a + b = c  OR a + b = -c

∵ Ix - 5I = 4

∴ x - 5 = 4 ⇒ add 5 to both sides

∴ x = 9

- OR

∴ x - 5 = -4 ⇒ add 5 to both sides

∴ x = 1

∴ The x-intercepts are 1 and 9 the same with figure

* The function graphed is y = Ix - 5I - 4