6th grade math help me, please :)))

Answer:

A = $211.50

A = P + I where

P (principal) = $100.00

I (interest) = $111.50

Step-by-step explanation:

$209.37 will the account be worth in 25 years.

Compound Interest is defined as interest earn on interest.

[tex]A = P(1 + \frac{r}{100})^{t}[/tex]

P= $100

r = 3%

t=25 years

substitute the values in formula,

[tex]A = 100(1 + \frac{3}{100})^{25}[/tex]

[tex]A = 100(1 + 0.03)^{25}[/tex]

[tex]A = 100(1.03)^{25}[/tex]

[tex]A=100(2.0937)[/tex]

[tex]A=209.37[/tex]

Hence, $209.37 will the account be worth in 25 years.

Learn more about Compound Interest

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Answer:

x= 5,77 *∛ K₂ / ( K₁ + K₅ ) the side f the square bottom-top

h = 2,88/ [∛ K₂ / ( K₁ + K₅ ) ]² heigh of the box

Step-by-step explanation:

Data from problem statement only gives one relation between dimensions of the box, we need two, in order to express surface area as a function of just one variable. In such a case we must assume the box is of square bottom and top.

Then

Area of the bottom                      A(b) = x²          ⇒  C(b) = K₁*x²

Area of the top                              A(t)  = x²         ⇒  C(t)  = K₅*x²

Total lateral area ( 4 sides)          A(l)  = 4*x*h   ⇒   C(l)  = 4*K₂*x*h

V(bx) = 96 in³

V(bx) = x²*h = 96

h = 96/x²

Then total cost as a function of x

C(x) =  K₁*x² +  K₅*x² + 4*K₂*(96)/x

Taking derivatives on both sides of the equation

C´(x) = 2*K₁*x + 2*K₅*x - 384*K₂/x²

C´(x) = 0         ⇒     2*K₁*x + 2*K₅*x - 384*K₂/x² = 0

2*K₁*x³ + 2*K₅*x³ = 384*K₂       or      K₁*x³ + k₅*x³ =  192*K₂

x³ ( K₁ + K₅ ) = 192*K₂

x  = ∛192*K₂ / ( K₁ + K₅ )

x= 5,77 *∛ K₂ / ( K₁ + K₅ )

If we obtain the second derivative

C´´(x)  = 2*K₁ + 2*K₅ - (-2*x)*384*K₂/x⁴

C´´(x)  = 2*K₁ + 2*K₅ + 768*K₂/x³

As x can not be negative  the expression C´´ wil be  C´´> 0

then we have a minimum for the function for x = 5,77 *∛ K₂ / ( K₁ + K₅ )

and  h = 96 / [ 5,77 *∛ K₂ / ( K₁ + K₅ )]²

h = 2,88/ [∛ K₂ / ( K₁ + K₅ ) ]²

Answer:

0.57.

Step-by-step explanation:

57  / 100

We divide 57 by 100:

= 0.57

Answer:

u <= 80

u > 80

Step-by-step explanation:

The happiest would be

Null hypothesis: u <= 80

Alternative hypothesis: u > 80

The correct set of hypotheses for the sample in July is H0: μ ≠ 80 Ha: μ = 80.

The null hypothesis H0 which is also known as the default hypothesis states that there is no relationship between the population parameters.  The alternative hypothesis (H1 ) states that there is a relationship between the population parameters.

To learn more about the null hypothesis, please check: brainly.com/question/4454077

Answer:

P [ Z < 66 ]  = 35,15 %

Step-by-step explanation:

Normal Distribution

Population mean μ₀  = 75,4

Standard deviation  σ = 5,2

Then:

P [ Z < 66 ]  =  ( 66 - 75,4 ) / 5,2

P [ Z < 66 ]  = - 9,4 / 5,2

P [ Z < 66 ]  = - 1,81

In z-table we look for the reciprocate area for that  z score and find

P [ Z < 66 ]  = 0,3515

P [ Z < 66 ]  = 35,15 %

Answer:

-3/2

Step-by-step explanation:

Hey there!

Well to find the slope of a line with 2 points we use the following formula,

y2 - y1 / x2 - x1

5 - 2 = 3

-6 - -4 = -2

Slope = -3/2

Hope this helps :)

Answer:

[tex]Slope = -\frac{3}{2}[/tex]

Step-by-step explanation:

[tex](-4, 2) \:(-6,5).\\\\m =\frac{y_2-y_1}{x_2-x_1} \\\\x_1 = -4\\y_1 =2\\x_2 = -6\\y_2 =5\\\\m = \frac{5 -2}{-6-(-4)}\\ m = \frac{3}{-6+4}\\ m = \frac{3}{-2}\\ \\Slope = -\frac{3}{2}[/tex]

Answer:

B. The weather on a particular day a year from now

Step-by-step explanation:

We can only predict the weather in the near future, not long term or all time. The rest of the answer choices are predictable. We will always know the age of a person 10 years from now, we can predict the rating of the movie if we preview and watch it, and if a student studies enough/not enough we can predict the type of grade they will get on a test.

I believe the answer is B since to find the age of a person ten years from now, just add their age by ten. You can predict the rating of an upcoming movie by watching the trailer and seeing if it is good or bad. You can predict the grade a student gets on a test if you know that person is smart or not. You can’t predict weather from a year in the future because anything could happen in a year. This is why I think the answer is B.

Answer:

[tex]Range = 16[/tex]

[tex]Inter\ Quartile\ Range = 6.75[/tex]

[tex]Variance = 20.44[/tex]

[tex]Standard\ Deviation = 4.52[/tex]

Step-by-step explanation:

Given

4, 17, 12, 9, 6, 10, 1, 5, 9, 3

Calculating the range;

[tex]Range = Highest - Lowest[/tex]

From the given data;

Highest = 17 and Lowest = 1

Hence;

[tex]Range = 17 - 1[/tex]

[tex]Range = 16[/tex]

Calculating the Inter-quartile Range

Inter quartile range (IQR) is calculates as thus

[tex]IQR = Q_3 - Q_1[/tex]

Where

Q3 = Upper Quartile and Q1 = Lower Quartile

Start by arranging the data in ascending order

1, 3, 4, 5, 6, 9, 9, 10, 12, 17

N = Number of data; N = 10

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

Calculating Q3

[tex]Q_3 = \frac{3}{4}(N+1) th\ item[/tex]

Substitute 10 for N

[tex]Q_3 = \frac{3}{4}(10+1) th\ item[/tex]

[tex]Q_3 = \frac{3}{4}(11) th\ item[/tex]

[tex]Q_3 = \frac{33}{4} th\ item[/tex]

[tex]Q_3 = 8.25 th\ item[/tex]

Express 8.25 as 8 + 0.25

[tex]Q_3 = (8 + 0.25) th\ item[/tex]

[tex]Q_3 = 8th\ item + 0.25 th\ item[/tex]

Express 0.25 as fraction

[tex]Q_3 = 8th\ item +\frac{1}{4} th\ item[/tex]

[tex]Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)[/tex]

From the arranged data;

[tex]8th\ item = 10[/tex] and [tex]9th\ item = 12[/tex]

[tex]Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)[/tex]

[tex]Q_3 = 10 +\frac{1}{4} (12 - 10)[/tex]

[tex]Q_3 = 10 +\frac{1}{4} (2)[/tex]

[tex]Q_3 = 10 +0.5[/tex]

[tex]Q_3 = 10.5[/tex]

Calculating Q1

[tex]Q_1 = \frac{1}{4}(N+1) th\ item[/tex]

Substitute 10 for N

[tex]Q_1 = \frac{1}{4}(10+1) th\ item[/tex]

[tex]Q_1 = \frac{1}{4}(11) th\ item[/tex]

[tex]Q_1 = \frac{11}{4} th\ item[/tex]

[tex]Q_1 = 2.75 th\ item[/tex]

Express 2.75 as 2 + 0.75

[tex]Q_1 = (2 + 0.75) th\ item[/tex]

[tex]Q_1 = 2nd\ item + 0.75 th\ item[/tex]

Express 0.75 as fraction

[tex]Q_1 = 2nd\ item +\frac{3}{4} th\ item[/tex]

[tex]Q_1 = 2nd\ item +\frac{3}{4} (3rd\ item - 2nd\ item)[/tex]

From the arranged data;

[tex]2nd\ item = 3[/tex] and [tex]3rd\ item = 4[/tex]

[tex]Q_1 = 3 +\frac{3}{4} (4 - 3)[/tex]

[tex]Q_1 = 3 +\frac{3}{4} (1)[/tex]

[tex]Q_1 = 3 +0.75[/tex]

[tex]Q_1 = 3 .75[/tex]

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

Recall that

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 10.5 - 3.75[/tex]

[tex]IQR = 6.75[/tex]

Calculating Variance

Start by calculating the mean

[tex]Mean = \frac{1+3+4+5+6+9+9+10+12+17}{10}[/tex]

[tex]Mean = \frac{76}{10}[/tex]

[tex]Mean = 7.6[/tex]

Subtract the mean from each data, then square the result

[tex](1 - 7.6)^2 = (-6.6)^2 = 43.56[/tex]

[tex](3 - 7.6)^2 = (-4.6)^2 = 21.16[/tex]

[tex](4 - 7.6)^2 = (-3.6)^2 = 12.96[/tex]

[tex](5 - 7.6)^2 = (-2.6)^2 = 6.76[/tex]

[tex](6 - 7.6)^2 = (-1.6)^2 = 2.56[/tex]

[tex](9 - 7.6)^2 = (1.4)^2 = 1.96[/tex]

[tex](9 - 7.6)^2 = (1.4)^2 = 1.96[/tex]

[tex](10 - 7.6)^2 = (2.4)^2 = 5.76[/tex]

[tex](12 - 7.6)^2 = (4.4)^2 = 19.36[/tex]

[tex](17 - 7.6)^2 = (9.4)^2 = 88.36[/tex]

Sum the result

[tex]43.56 + 21.16 + 12.96 + 6.76 + 2.56 + 1.96 + 1.96 + 5.76 + 19.36 + 88.36 = 204.4[/tex]

Divide by number of observation;

[tex]Variance = \frac{204.4}{10}[/tex]

[tex]Variance = 20.44[/tex]

Calculating Standard Deviation (SD)

[tex]SD = \sqrt{Variance}[/tex]

[tex]SD = \sqrt{20.44}[/tex]

[tex]SD = 4.52[/tex] (Approximated)

Answer:

The number must be divisible by 6

Step-by-step explanation:

Being divisible by 2 means that 2 is a factor of the number. Same with being divisible by 3, so that means the number has 2 and 3 as factors, therefore, 6 is also a factor, and the number will be divisible by it.

Answer:

r=17%

Step-by-step explanation:

P is the investment

A is the targeted amount

t= time (25-18=7 years)

A=P(1+r)^t

30000=10000(1+r)^7

(1+r)^7=30000/10000

r=\root(7)(3)-1

r=0.16993 ≅0.17= 17%

check: A=P(1+r)^t ⇒10000(1+0.17)^7=30012≅30000

Answer:

The answer is 2 1/5 miles.

Step-by-step explanation:

You have to multiply 5/9 with 4 since you are going around 4 times. You could also use addition which is 5/9 + 5/9 + 5/9 + 5/9.

Answer:

Hey there!

The person jogged a total of 20/9 miles.

Hope this helps :)

Answer: -4/3

Step-by-step explanation: To find the negative reciprocal of a fraction, all you have to do is flip the fraction and change the sign.

So the negative reciprocal of 3/4 is -4/3.

Answer:

15 pt

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 quarts = 2 pints

From the question we were given 7.5 quarts to to get the desired result multiply 7.5 by 2

Which is 7.5 × 2 = 15 pints

Hope this helps you

Answer:

28

Step-by-step explanation:

12+[(15-5)]+(9-3)]

PEMDAS

Parentheses first

12+[(10)]+(6)]

Then add

12+10+6

Answer: 28

Step-by-step explanation:

Answer:

I NEED POINTS

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Extend every other side of the hexagon so that a triangle is formed.  Since the hexagon is equiangular, the overall triangle is an equilateral triangle, as well as the smaller triangles in the corners.

The length of the sides of the overall triangle is 7 + 2 + 4 = 13.

Therefore, the other two sides of the hexagon are 5 and 4.

The sum is 5 + 4 = 9.

Answer:

B

Step-by-step explanation:

B is the only set of ordered pairs to represent a function because it is the only one that has no repeating x values while the others do.

Answer:

a

The Margin of error is correct  

b

No the polls does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

From the question we are told that

     The  population proportion is  [tex]p = 66[/tex]%  =  0.66

     The  sample size is  n =  1018

     The margin of error is  MOE  =  3 %  =  0.03

     The  confidence level is  C =  95%

Given that the confidence level is 95% , then the level of significance is mathematically evaluated as

       [tex]\alpha = 100 - 95[/tex]

      [tex]\alpha = 5[/tex]%

       [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the standardized normal distribution table, the value is  

       [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

The  reason we are obtaining critical values for [tex]\frac{\alpha }{2}[/tex] instead of  [tex]\alpha[/tex] is because [tex]\alpha[/tex] represents the area under the normal curve where the confidence level ([tex]1-\alpha[/tex]) did not cover which include both the left and right tail while [tex]\frac{\alpha }{2}[/tex]  is just considering the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

       [tex]MOE = Z_{\frac{\alpha }{2} } * \sqrt{\frac{p (1-p )}{n} }[/tex]

substituting values

     [tex]MOE = 1.96 * \sqrt{\frac{0.66 (1-66 )}{1018} }[/tex]

      [tex]MOE = 0.03[/tex]  

      [tex]MOE = 3[/tex]%

The 95% is mathematically represented as

      [tex]p - MOE < p < p +MOE[/tex]

substituting values

     [tex]0.66 -0.03 < p < 0.66 +0.03[/tex]

     [tex]0.63 < p < 0.69[/tex]

Looking at  the confidence level interval we see that the population proportion is between

     63%  and  69%

shown that the population proportion is less than 70%

Which means that the polls does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Answer:

nine hundred five thousand two hundred thirty-eight

Answer:

wrong thing

Step-by-step explanation:

13 arent shaded of the 20 units

7/20 are shaded, 7X1=7, 2X5=10

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

We can solve this equation by isolating the variable x.

First let’s apply the distributive property:

[tex]5(x+3)-12=43\\5\cdot x + 5\cdot3 - 12=43\\5x + 15 - 12 = 43[/tex]

Combine like terms:

[tex]5x + 3 = 43[/tex]

Now we can subtract 3 from both sides:

[tex]5x + 3 - 3 = 43-3\\5x = 40[/tex]

Divide both sides by 5:

[tex]5x\div5 = 40\div5\\x = 8[/tex]

So [tex]x=8[/tex].

Hope this helped!

Answer:

x = 8

Step-by-step explanation:

5(x + 3) – 12 = 43

Add 12 to each side

5(x + 3) – 12+12 = 43+12

5(x+3) =45

Divide each side by 5

5(x+3)/5 = 55/5

x+3 = 11

Subtract 3 from each side

x+3-3 = 11-3

x = 8

Answer:

-16

Step-by-step explanation:

I solved it out.

Answer:

its d 16

Step-by-step explanation:

i did the test

Answer:

At 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Step-by-step explanation:

                              Model A              Model B

Sample Size              50                          55

Sample Mean  x`         32                           35

Sample Variance  s²    9                            10

At 95 % confidence limits are given by

x1`-x2` ± 1.96 [tex]\sqrt{\frac{s^{2} }{n1} +\frac{s^{2}}{n2} }[/tex]

Putting the values

32-35  ± 1.96  [tex]\sqrt\frac{9}{50}+\frac{10}{55}[/tex]        ( the variance is the square of  standard deviation)

-3 ± 1.96 [tex]\sqrt{ \frac{495+500}{2750}[/tex]

-3 ± 1.96( 0.6015)

-3 ± 1.17896

-1.8210; 4.1789

Thus the 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789.

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Answer:

72.5 feet

Step-by-step explanation:

The height of each level from floor to ceiling is 14 1/2 feet.

We want to find the net change in elevation going from the floor of the underground level to the ceiling of the 4th level above ground.

In other words, the change in elevation in going 5 floors up.

Each level has a height of 14 1/2 feet (29/2 feet).

Therefore, the height of the fourth level above ground from the underground level will be 5 times the height of one level:

h = 5 * 29/2 = 72.5 feet

The net change in elevation from the floor of the underground level to the 4th level above ground is:

ΔE = [tex]h_4 - h_0[/tex]

[tex]h_0 = 0 feet\\\\h_4 = 72.5 feet[/tex]

Therefore:

ΔE = 72.5 - 0 = 72.5 feet

Answer:

72.5

Step-by-step explanation:

Answer:

  60%

Step-by-step explanation:

Reducing the rental cost by a factor of 6 makes it be 90%/6 = 15% of the original costs of the company. The non-rental costs are 100% -90% = 10% of the original costs of running the company.

Now, the rental costs are 15%/(15%+10%) = 3/5 of the present costs of the company.

Rental cost constitutes 60% in the total costs of the company.

Answer: Price-earnings ratio= 22.0

Step-by-step explanation:

Given: A company had a market price of $38.50 per share, earnings per share of $1.75, and dividends per share of $0.90

To find: price-earnings ratio

Required formula: [tex]\text{price-earnings ratio }=\dfrac{\text{ Market Price per Share}}{\text{Earnings Per Share}}[/tex]

Then, Price-earnings ratio = [tex]\dfrac{\$38.50}{\$1.75}[/tex]

⇒Price-earnings ratio = [tex]\dfrac{22}{1}[/tex]

Hence, the price-earnings ratio= 22.0

sum of angles = 10800

measurement of a single angle= 1350

Therefore,

No. of sides = sum of angles / single angle

No of sides = 10800 / 1350

No of sides = 8

Answer:

8 sides.

Step-by-step explanation:

If the sum of the angles is 10,800 degrees, and each angle is 1,350 degrees, the deck will have the number of sides of the sum of the angle measurements divided by each angle's measurements.

10,800 / 1,350 = 1,080 / 135 = 8 sides.

Hope this helps!

Answer:

first number(x) = 2 second number(y)= 6

Step-by-step explanation:

This is an example of a simultaneous equation.

First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".

x + 2y = 14  (equation 1)

2x + y = 10  (equation 2)

This is solved using the elimination method.

We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.

2x + y = 10 MULTIPLY BY 2

4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)

Now subtract equation 1 from equation 2.

4x - x + 2y - 2y = 20 - 14  (2y cancels out here)

3x = 6

x = 2

Now we substitute our x value into equation 1 to find the value of y.

2 + 2y = 14

2y = 12

y = 6

Hope this has answered your question.

Answer:

6 and 2

Step-by-step explanation:

Let the first number =a

Let the second number =b

A first number plus twice a second number is 14.

Twice the first number plus the second totals 10.

We solve the two equations simultaneously

[tex]a+2b=14 \implies a=14-2b\\$Substitute into the second equation$\\2(14-2b)+b=10\\28-4b+b=10\\-3b=10-28\\-3b=-18\\b=6[/tex]

Recall:

a=14-2b

=14-2(6)

=14-12

a=2

The two numbers are 6 and 2.

Step-by-step explanation:

Because the sentence is speaking that he has done already so we will use the past verb ran

Rick says he has ran two miles already

Answer:

b. run

Step-by-step explanation:

Rick says he has run two miles already

It will be "ran" if the sentence had said, "Rick 'ran' two miles already."

BRAINLIST PLS!

Answer: I actually do not know but i know that the answer is A.

Step-by-step explanation:

I'm smart