Find the amount of money accumulated if you invest $10,000 at 3% interest compounded quarterly for 2 years. Round your answer to the nearest cent.

Answer:

d.f.(treatment) = 6

d.f.(error) = 35

Step-by-step explanation:

In the question we have

k = 7

r= 6

n= rk= 42

1. The degrees of freedom for the numerator is calculated as under

d.f.(treatment) = k-1= 7-1= 6

Where k gives the number of columns

2. The degrees of freedom for the denominator is calculated as under

d.f.(error) = k (r-1)= n-k= 42-7=35

where k gives the number of columns and r gives the number of rows.

This is for one way ANOVA as asked above.

Answer:

  >

Step-by-step explanation:

1 - 3 ?? -4

-2 ?? -4

The appropriate symbol for this ?? relation is >.

  1 -3 > -4

Answer:

a. DC

b. B

c. ED

Ray CD is the same as ray DC.

A ray with the endpoint A would be ray BA. The starting point would be point B and ending point would be A.

The opposite ray to ray EC is ray ED. The two rays are opposite to each other.

Answer:

1/15

Step-by-step explanation:

Total no. of balls = 2+3+5 = 10

No. of red ball =2

Probability of 1st being red = 2/10 =1/5

Probability of 2nd being blue = 3/9 =1/3

Therefore, chance that one will be red and the other blue, in any order

= 1/5×1/3 = 1/15

Answer:

y= 3(x-1)^2+2

Step-by-step explanation:

The vertex form for h(x)= -3x^2-6x+5 is y= 3(x-1)^2+2.

HOPE THIS HELPED!

HAVE A GREAT DAY!

The equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The vertex form of a quadratic equation is given as y = a(x-h)² + k, where h and k are the x and y coordinates of the vertex of the parabola.

Given the equation of the parabola, h(x) = –3x² – 6x + 5. Comparing the given equation with the general quadratic equation, the value of the variables a, b, and c can be written as shown.

  ax² + bx + c

–3x² – 6x + 5

Therefore, the value of a, b, and c is -3, -6, and 5.

Now, substitute the values in the equation of the vertex of a parabola, now, the value of the h and k coordinates can be written as,

h = -b/(2a) = -(-6)/(2 × -3) = -1

k = c - b²/(4a) = 5 - [(-6)²/ (4× -3)] = 8

Hence, the equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.

Learn more about Quadratic Equations:

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Answer: [tex]900[/tex]

Multiply

[tex]-18*-10=180[/tex]

Multiply

[tex]180*5=900[/tex]

Note

Multiplying/Dividing a negative to a positive will equal a negative. (N×P=N)

Multiplying/Dividing a negative to a negative will equal a positive. (N×N=P)

Multiplying/Dividing a positive to a positive will equal a positive. (P×P=P)

Answer:

x=13

Step-by-step explanation:

Divide both sides by -5 then solve the equation for x

Answer:

Verbal expression =9(x+8) =7

Step-by-step explanation:

Let the unknown number be x

[tex]9(x+8) =7\\[/tex]

Further solution ;

[tex]9\left(x+8\right)=7\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9\left(x+8\right)}{9}=\frac{7}{9}\\\\Simplify\\x+8=\frac{7}{9}\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\frac{7}{9}-8\\\\Simplify\\x=-\frac{65}{9}[/tex]

Answer:

rational

Step-by-step explanation:

ans

a) Rational

Hope this helps you...

Answer:

2.69 x [tex]10^{9}[/tex]

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x [tex]10^{9}[/tex] ≈ 2.69 x [tex]10^{9}[/tex]

The number of times a heart will beat in 73 years is required.

The heart will beat [tex]1.6\times 10^{11}\ \text{times}[/tex] in a lifetime.

The number of times heart beats per minute is 70.

Number of years in a lifetime is 73 years

Ignoring leap year a year has 365 days.

So minutes in a leap year is

[tex]365\times 24\times 60\times 60[/tex]

Minutes in a lifetime of 73 years

[tex]73\times 365\times 24\times 60\times 60[/tex]

The product of beats per minute and the minutes in a lifetime will given the required heart beats

[tex]70\times 73\times 365\times 24\times 60\times 60=1.6\times 10^{11}\ \text{beats}[/tex]

Learn more about algebra:

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learners of Agriculture: 34/58

semplify it

divide by 2

34 > 17

58 > 29

they are prime numbers, so can't be semplify anymore

17/29 will do Agriculture

in percentage we have a proportion:

17 : 29 = x : 100

x = (17 * 100) / 29 = 1700 / 29 ≅ 48,62

Answer:

C. 3.8 min < ?X - ?Y < 4.8 min

Step-by-step explanation:

Let both flares be X and Y

For X

n1 = 35

Bar x1 =19.4

D1 = 1.4

For Y

n2 = 40

Bar X2= 15.1

S2 = 0.8

√(x1²/n1) + (x2²/n2)

=√ (1.4²/35)+(0.8²+40)

= 0.2683

Critical value, t = 2.032

We now have to calculate margin of error

0.2683x2.032

= 0.545 this is approximately equal to 0.5

Bar x1 - bar X2

= 19.4 - 15.1

= 4.3

At 95% confidence level

4.3+-0.5

4.3+0.5= 4.8

4.3-0.5 = 3.8

Therefore the answer is 3.8min<X-Y<4.8min

Answer:

[tex]i^{54}=-1[/tex]

Step-by-step explanation:

First, recall the 4 basic imaginary exponents:

[tex]i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1[/tex]

So, we want to find:

[tex]i^{54}[/tex]

This is the same as:

[tex]=i^{52}\cdot i^2[/tex]

52 is 4 times 13. Thus:

[tex]=(i^4)^{13}\cdot i^2[/tex]

Since we know that i to the fourth is 1:

[tex]=(1)^{13}\cdot i^2[/tex]

Simplify:

[tex]=i^2[/tex]

And this equals:

[tex]=-1[/tex]

So:

[tex]i^{54}=-1[/tex]

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, - 2)

m = [tex]\frac{-2-4}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 2 ), then

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = - 2x + 2 ← equation of line

Answer:

2,4

Explanation:

Because a midpoint is the middle of the line

Answer:

[tex]mAB=(2,4)[/tex]

Step-by-step explanation:

Step 1: Use the midpoint formula to solve

[tex]mAB=(\frac{x1 +x2}{2},\frac{y1+y2}{2} )[/tex]

[tex]mAB=(\frac{0+4}{2},\frac{6+2}{2} )[/tex]

[tex]mAB=(\frac{4}{2},\frac{8}{2} )[/tex]

[tex]mAB=(2,4)[/tex]

Therefore the midpoint on the line segment AB is (2,4)

Question:

At a local county fair, the officials would like to give a prize to 100 selected people at random from those attending the fair. As of the closing day, 12500 people have attended the fair and completed their entry form. The probability that an individual who attended the fair and completed the entry form will win a prize is:

Answer:

[tex]Probability = \frac{1}{125}[/tex]

Step-by-step explanation:

Given

Population = 12,500

Selection = 100

Required

Determine the probability that the selected person will win a prize

To do this, we simply divide the number of those that needs to be selected by the total population;

i.e.

[tex]Probability = \frac{Selection}{Population}[/tex]

[tex]Probability = \frac{100}{12500}[/tex]

Divide the numerator and denominator by 100

[tex]Probability = \frac{1}{125}[/tex]

Hence, the required probability is ;

[tex]Probability = \frac{1}{125}[/tex]

Your question is not complete

Answer:

Multiplying a number by -1 means the sign on the number is made opposite. If the number was positive, it becomes negative. If the number was negative, it becomes positive.

edmentum answer!!

Answer:

I would believe it is the final answer by the way it's put! hope this helps :)

The correct inequality is 43x + 72 ≤ 1,128.

Given,

Jasmine wants to use her savings of $1,128 to buy video games and movies.

The total price of the movies she bought was $72.

The video games cost $43 each.

We need to choose the inequality that would be used to solve the maximum number of video games Jasmine can buy with her savings.

We have,

< - less than

> - greater than

≤ - less than and equal

≥ - greater than and equal

Find the total cost of the movies.

= $72

Find the cost of each video game.

= $43

Find the savings Jasmine has.

= $1,128

The amount Jasmine can use to buy movies and video games is $1,228.

So, we can use less than or equal to $1,228 to buy movies and video games.

i.e ≤ $1,128

We have,

Cost of movie = $72

Cost of each video game = $43

We can write the inequality as:

$72 + $43x ≤ $1,128

Where x is the number of video games.

Thus the correct inequality is 43x + 72 ≤ 1,128.

Learn more about the writing system of inequality for buying two items with a total of 80 items here:

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The largest stem is 3, found in the bottom row. This represents 300 thousand or 300,000.

The largest leaf in the bottom row is 7 and that represents

7*(10 thousand) = 70 thousand = 70,000

Adding the stem and leaf values gets us

300,000 + 70,000 = 370,000

Answer:

a. x = 9

b. x = 3.6

Step-by-step explanation:

a. By Basic proportionality theorem:

AB/BD = AC/CE

4/4 = x/9

1 = x/9

9 = x

x = 9

b.

[tex] In \: \triangle ABC \: \& \: \triangle EDF\\

\angle B \cong \angle D....(given) \\

\angle C \cong \angle F.....(given) \\

\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\

\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\

\therefore \frac{2}{5} = \frac{x}{9}\\

\therefore x = \frac{2\times 9}{5} \\

\therefore x = \frac{18}{5} \\

\huge \red{\boxed {\therefore x = 3.6}} \\[/tex]

Answer:

D.

Step-by-step explanation:

A irrational number can be defined as those numbers which are real but can NOT be expressed in simple fractions. The term 'irrational' means 'a number which can not be expressed in ratio of two integers', 'no ratio.'

When a irrational number is expressed in decimal, the numbers keep on expanding without repeating andd without terminating, which means it keeps on expanding infinitely.

For example, π (pi) is an irrational number. When it is expressed in decimals it keeps on expanding non-repeatedly and unendingly.

Another example of an irrational number is √2.

Thus the correct statement that defines irrational number is option D.

Answer:

D. a number with a nonrepeating and nonterminating decimal expansion​

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

u = <-9,9,3>

v = <12,-12,-4>

test if the given vectors are orthogonal ( dot product = 0 )

we have to find the dot product of the vectors to determine is it will be = 0

u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0

hence the given vectors is not orthogonal

next check if the vectors are linearly dependent

(-9/12 ) = - 3/4

(9/-12)  =  - 3/4

( 3/-4 )  = - 3/4

since they are linearly dependent then they are parallel

Answer:

Rate of depreciation = 27%

Step-by-step explanation:

Given:

Purchase price = $32,650

Rate in 2020 = $23,834.50

Find:

Rate of depreciation

Computation:

Depreciation = Purchase price - Rate in 2020

Depreciation = $32,650 - 23,834.50

Depreciation = $8,815.5

Rate of depreciation = [8,815.5 / 32650] 100

Rate of depreciation = 27%

Answer:

She would receive 96 points

Step-by-step explanation:

The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.

Mathematically

Y= kt

Where k is constant of proportionality

If y= 72 and t= 3

72=k3

72/3= k

24= k

So

Y= 24t

If t= 4

Y= kt

Y= 24(4)

Y= 96

Y = 96 points

She would receive 96 points

Answer:

The correct answer is x = 12.

Step-by-step explanation:

To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles.  This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected.  This is modeled below:

9x - 54 = 4x + 6

Now, we can solve this equation like any other.  The first step is to subtract 4x from both sides.

9x - 4x - 54 = 4x - 4x + 6

5x - 54 = 6

Then, we should add 54 to both sides.

5x - 54 + 54 = 6 + 54

5x = 60

Finally, we can divide both sides by 5.

5x/5 = 60/5

x = 12

Therefore, the correct answer is x = 12.

Hope this helps!

Answer:

The value of x is 12°.

Step-by-step explanation:

Given that AC is the angle bisector of ∠BAD which means that AC cuts exactly the center of ∠BAD so ∠BAC and ∠CAD must be the same.

In order to find the value of x, you have to make ∠BAC = ∠CAD

[tex]∠BAC = ∠CAD[/tex]

[tex]9x - 54 = 4x + 6[/tex]

[tex]9x - 4x = 6 + 54[/tex]

[tex]5x = 60[/tex]

[tex]x = 60 \div 5[/tex]

[tex]x = 12[/tex]

Answer:

Can you show the diagram please?

Answer:

85.6

Step-by-step explanation:

you just add the numbers which is 428 and divide that by 5 which is 85.6

Answer:

85.6

Step-by-step explanation:

To find the mean, add up all the scores then divide by the number of tests

(76+ 88+ 82+ 94+88)/5

428/5

85.6

Answer:

112

Step-by-step explanation: