How much would $600 be worth after 10 years, if it were invested at 4%
interest compounded continuously? (Use the formula below and round your
answer to the nearest cent.)
A(t) = Pooh

Answer:

90

Step-by-step explanation:

Total People = 250

Left the party at 11 pm = 70

Stayed = 250-70

=> 180

Couples that stayed = 180/2

=> 90

Answer:

90 Couples

Step-by-step explanation:

There were 250 total people at the beginning at the party. 70 people left at 11pm.

Subtract 70 from 250:

[tex]250-70=180[/tex]

There were 180 people that stayed.

A couple consists of two people. The question asks how many couples stayed at the party, not people.

Divide 180 by 2:

[tex]\frac{180}{2}= 90[/tex]

There would be 90 couples that stayed at the party.

Sorry, not sure I understand.  (ab)/(a+b) is NOT equal to a*b, as a*b is the same thing as ab.

Answer:

3/5

3:5 and 3/5 and 0.6 are the same thing just in different forms

You can convert by putting it into a fraction and dividing the fraction

3:5 becomes 3/5 and 3 divided by 5 = 0.6

Hope this helps

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Slope is rise over run:

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

The table is a linear function, so any two points from the table would have a consistent slope.  

Pick two points and apply them to the formula:

(-4,-2) and (-2, -10)

[tex]m=\frac{-10+2}{-2+4}=\frac{-8}{2}=\boxed{-4}[/tex]

The slope is -4.  Yes, your answer should be correct.

Answer:A,C,E,i think F

Step-by-step explanation:

Answer:

4x -2 = -2x +6

Step-by-step explanation:

The red is negative

4x -2 = -2x +6

Answer:

B

Step-by-step explanation:

Answer:

B: 15

Step-by-step explanation:

I got it right on Edge

The value of 'x' in the top angle is 5 degrees.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.

We know the sum of all the interior angles in a triangle is 180°.

Therefor, 2x + 100° + 70° = 180°.

2x = 10°.

x = 5°.

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Answer:

3x^2 or 8x

Step-by-step explanation:

Meaning of probability: the extent to which something is probable; the likelihood of something happening or being the case.

Meaning of likelihood: the state or fact of something's being likely; probability.

These are similar and are literally the same. Probability is the chance of something happening. Likelihood is the change of something happening too.

Probability is a number or ratio and likelihood is a statement.

Probability: the probability of the dice rolling on (one dot) is 1/6.

Likelihood: the likelihood of the dice rolling on (one dot) is equal to the likelihood of the dice rolling on all the different numbers

Answer:  The results from this activity indicate that events that are unlikely to occur have a probability close to 0, events that are neither likely nor unlikely to occur have a probability close to 1/2, or 0.5, and events that are likely to occur have a probability close to 1.

Step-by-step explanation:  Edmentum answer

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!

Answer:

Step-by-step explanation:

The graph which matches the equation y = - 2x - 4 is the graph drawn in the option B.

The equation is written in slope - intercept form such that :

This means that the slope of the graph is negative and the trend line crosses the y - axis at - 4.

Only the graph in option B has a negative slope and its intercept at negative 4

Therefore, the appropriate option is the graph B.

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Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

0=(x+4) ( x-2)

Using the zero product property

x+4 =0   x-2 =0

x=-4  x=2

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

Answer:

No correlation

Step-by-step explanation:

You said that Points are scattered all over the graph so The two quantities on x-axis and y-axis have no correlation. No correlation is when the points are scattered all over the graph and have no connection between them. No correlation means they have no relation between them.

Answer:

No correlation

Step-by-step explanation:

The crridnents are placed randomly about so they do not form a trend line therefor making it no correlation.

Answer:

The answer is given below

Step-by-step explanation:

The equation of a quadratic function is given by:

Ax² + Bx + C where A, B and C are the coefficients of the quadratic equation. If the coefficient of x² (i.e A) is a negative value then the graph opens down, the value of C determines the y intercept.

The equation of a parabola with  y-intercept greater than 3 and opens down can be given as -2x² -6x + 4. Since the coefficient of x² is negative it opens down and C = 4, it has a y intercept of 4 > 3

Let us assume a vertical stretch of 2, the new equation becomes:

2(-2x² -6x + 4)

-4x² - 12x + 8

To solve:

-4x² - 12x + 8 = 0

A = -4, B = -12 and C = 8

Using the quadratic formula:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-12) \pm \sqrt{(-12)^2-4(-4)(8)} }{2(-4)}=\frac{12 \pm 16.49}{-8} \\x= -3.6 \ or \ x=0.6[/tex]

Answer:

D=100(opposites angles are equal)

A=C=80 (adj angles are supplementry)

Step-by-step explanation:

Answer:

x = 80

y = 100

z = 80

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.  Thus, angle y = 100 degrees.  In a parallelogram adjacent angles are supplementary so angle x and z are 80 degrees.

Hope it helps <3

Answer:

The simplified form of the expression is (16)⁴ or 65536

Step-by-step explanation:

The given expression to us is:

(1/16)⁻⁴

As the options given in this question are not clear enough, I'll just simpify the expression which you can compare with the given options in the question and find the best option as an answer.

We know that a negative power of number can be converted into a positive one by taking the reciprocal of that number.

It can be written as:

(16)⁴

which can be further simplified to:

65536

Answer: the answer is B

Step-by-step explanation:

16^4

Answer:

Hey there!

These ratios are equivalent.

The given ratio is 3:4

If we multiply both sides by 5, we will get 15:20.

Thus, the ratios are equivalent.

Let me know if this helps :)

Answer:

What does the tense of the underlined verb reveal about the subject?

The event took place in the past continuously but concluded prior to another past event.

The event took place in the past continuously.

The event concluded prior to another past event.

The event has been completed.

Step-by-step explanation:

Answer:

IQR = 7.5

UQ = 72

LQ = 24

Answer:

1. 7.8888888888889

2. 70

3.23,23,24,27,31,33,34,38,40

Answer:

a

Step-by-step explanation:

The measure of side a is 6.3 unit.

The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.

Given:

c= 16 and B= 67 degree

<C= 90 degree

Using sine law

b / sin B = c / sin C

b / sin 67 = 16 / sin 90

b/ sin 67 = 16 / 1

b = 16 sin 67

b = 16 x 0.9205

b = 14. 728

Using sine law

c / sin C = a / sin A

16 / sin 90 = a / sin 23

16 = a / sin 23

a = 6.25

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Answer:

your answer would be 45 I hope this was helpful

Step-by-step explanation:

Answer:

The answer is A, 45.

Step-by-step explanation:

Answer  ↣ 12 gallons per minute

Step-by-step explanation ↣ Ok I'm gonna use ratios because I can't draw a graph here.

Ok so if the garden hose supplies 36 gallons of water in 3 minutes, then the ratio is 36:3 because every 3 minutes the garden hose "sprays" 36 gallons.

To simplify this ratio, you need find the amount of water the garden hose supplies in 1 minute.

Well to get from 3 to 1, you have to divide by 3.

Do the same thing to 36. 36/3 equals 12.

So the final ratio is 12:1

This is the unit rate. The unit rate is when one variable is 1 unit (most of the time it is speed).

You can multiply 1 by any number and multiply 12 by the same number.

Here are some ratios...

m=minutes

g=gallons

1m:12g

2m:24g

3m:36g

4m:48g

5m:60g

Hope this helped!

BTW why do I sound like this I'm not a aesthetic person-

Answer:

hope its helpful to uh..

Answer:

The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485

Step-by-step explanation:

Confidence interval of standard deviation is given as follows;

[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]

s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex]

Where:

[tex]\bar x[/tex] = Sample mean

s = Sample standard deviation

n = Sample size = 7

χ = Chi squared value at the given confidence level

[tex]\bar x[/tex] = ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857

The sample standard deviation s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex] = 2.854

The test statistic, derived through computation, = ±3.707

Which gives;

[tex]C. I. = 57.857 \pm 3.707 \times \dfrac{2.854}{\sqrt{7} }[/tex]

[tex]\sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{16.812}^{}}}< \sigma < \sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{0.872}}[/tex]

1.7047 < σ < 7.485

The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.

Answer:

B) 2(x+4)

C) 3(3x+5)−7x–7

Step-by-step explanation:

B) 2(x+4) = 2x + 8

C) 3(3x+5)-7x-7

= 9x +15 - 7x - 7

= 9x - 7x + 15 - 7

= 2x + 8

Answer:

B and C

Step-by-step explanation:

1. B is one of the answers because when you distribute the 2, the expression simplifies to 2x+8.

2. (C) When you distribute the 3 through the parenthesis, the expression simplifies to 9x+15-7x-7. Next, subtract the like terms. 9x-7x=2x and 17-7=10. Now this simplifies the expression to 2x+8.

Answer:

49

Step-by-step explanation:

The n th term of square numbers is calculated using

[tex]a_{n}[/tex] = n²

Thus for the 7 th term, let n = 7 , that is

a₇ = 7² = 49

Answer:

1/2 or 50%

Step-by-step explanation:

5 are lower than 60

and 5 are =/> 60

Answer:

1/2

Step-by-step explanation:

54,56,60,65,30,55,55,65,66 and 65

then place them in order from least to greatest

30,54,55,55,56,60,65,65,65 and 66

and to average they seem to grow equally over and under sixty inches.

Four chosen chords form a bow-tie quadrilateral 2210 .

Given,

Therefore, Four chosen chords form a bow-tie quadrilateral 2210 .

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The probability that the four chosen chords form a bow-tie quadrilateral is: 60%.

First, let's calculate the total number of ways to choose four chords out of the 21 available chords.

= 21!/ 4! (21-4)!

= 21! / 4! 17!

= 5985

The number of ways to choose two intersecting chords can be represented as [tex]\binom{7}{2}.[/tex]

= 7! / (7-2)!

= 7!/ 5! 2!

= 7 x 6/ 2

= 21

However, we also need to account for the fact that we are choosing four chords in total.

So we need to choose two more chords from the remaining 19 chords.

C(19, 2)= 19!/{2!(19-2)!

= 19! / 2! 17!

= 19 x 18 /2

= 171

Now,  the number of ways to choose four chords that form a bow-tie quadrilateral

= 21x 17

= 3591

Therefore, the probability that the four chosen chords form a bow-tie quadrilateral is:

= [tex]$\frac{\text{Number of ways to choose four chords forming a bow-tie quadrilateral}}{\text{Total number of ways to choose four chords}}[/tex]

= 3591/5985

= 0.600

So, the probability is 0.600, or 60%.

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Answer:

B

Step-by-step explanation:

trust me

The center of dilation of the figure M' is B thus option (B) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the give M and M'.

If we draw a line of the same corner points of M' and M then it goes from point B.

So it is clear that M is dilated with respect to point B.

Hence "The center of dilation of the figure M' is B".

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Answer:

c

Step-by-step explanation:

Answer:

(d) makes sense to me!!

Step-by-step explanation: