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Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

Compound interest is given by:

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

where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period

Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:

[tex]7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50[/tex]

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

Find out more on Compound interest at: https://brainly.com/question/24924853

Money left = money saved - cost of utilities.

Money left = 500 - 319.45

Money left = 180.55

Answer:

B

Step-by-step explanation:

8*5/6= 20/3 which is equal to 40/6 or forty sixths

Please mark brainlest

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

From the sample and the significance level of 0.05, we have that the parameters are given by:

[tex]\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7[/tex]

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

f(t)=4800(1.0378)^4t

3.78%

Step-by-step explanation:

f(t)=

f(t)=a(1+r)^t

f(t)=4800(1+0.16)^t

f(t)=4800(1.16)^t

Answer: 28/3

Step-by-step explanation:

Triangle ACB is similar to Triangle AED because of AA.

Therefore AB/BC = AD/DE

x/7 = (x+8)/13

We can cross-multiply.

13x = 7(x+8)

We can distribute the 7.

13x = 7x + 56

6x = 56

x = 28/3

Answer:

x = 6

HG = 9

Step-by-step explanation:

[tex] \frac{10}{25} = \frac{2x - 3}{22.5} \\ \\ 2x - 3 = \frac{22.5 \times 10}{25} = \frac{225}{25} = 9 \\ \\ 2x = 9 + 3 = 12 \\ \\ x = 6[/tex]

HG = 2x - 3 = 2(6) - 3 = 12 - 3 = 9

Answer:

Step-by-step explanation:

Write in y = mx +c form

2x + 3y + 1 = 0

3y = -2x - 1

Divide the entire equation by 3

[tex]y =\dfrac{-2}{3}x-\dfrac{1}{3}[/tex]

[tex]m = \dfrac{-2}{3}\\\\\\c=\dfrac{-1}{3}[/tex]

The difference in area between the top surfaces of the two cakes is 28.26 inches²

where

r = radius

Therefore,

area of top layer = πr²

d = 2r

r = d / 2

r = 8 / 2

r = 4 inches

area of top layer = 3.14 × 4²

area of top layer = 3.14 × 16

area of top layer = 50.24 inches²

area of the bottom layer = πr²

r = 10 / 2 = 5 inches

area of the bottom layer = 3.14 × 5²

area of the bottom layer = 3.14 ×25

area of the bottom layer = 78.5 inches²

Difference in area between the top surfaces of the two cakes can be found as follows:

learn more on circle here: https://brainly.com/question/10264279

Answer:

∠ a = 60° , ∠ b = 120°

Step-by-step explanation:

Supplementary angles sum to 180° then

x - 40 + x + 20 = 180 , that is

2x - 20 = 180 ( add 20 to both sides )

2x = 200 ( divide both sides by 2 )

x = 100

Then

∠ a = x - 40 = 100 - 40 = 60°

∠ b = x + 20 = 100 + 20 = 120°

Answer:

x=100   a=60    b=120

Step-by-step explanation:

Supplementary angles add 180 degrees

(x-40) + (x+20) = 180

2x-20 =180

2x =100

x = 100

100-40 = 60

100+20 = 120

                60+120 +180

Answer:

[tex]\frac{3}{2}[/tex]

*View attached graph*

Step-by-step explanation:

Slope (m) formula: [tex]\frac{y_2-y_1}{x_2-x_1} =\frac{7-(-5)}{6-(-2)} =\frac{12}{8}=\frac{3}{2}[/tex]

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

Hope this helps!

Answer:

14.5

Step-by-step explanation:

pls brainliest

Answer:

75% of x

Step-by-step explanation:

Answer:

75%x (or 0.75x)

Step-by-step explanation:

We can convert the percentages to decimal format and then multiply.

50%  = 0.50

150% = 1.50

"50% of 150% of x" can be written as:

(0.50)(1.50)x

= 0.75x

50% of 150% of x is 75%x

Answer:

24,000

Step-by-step explanation:

first multiply 80,000 and 30 because 15 + 15 from two years is 30.

Then you get 2400000 then divide that by 100 which gives you

24,000 as your answer.

what is photo tha photo aunties

Answer:

B

Step-by-step explanation:

Electrons are outstide the shell and hence the nucleas have a charge of protons and neutrons. That's why they say the nucleas of an atom is positive.

Answer:

B

Step-by-step explanation:

Answer:

1:50 P.M

Step-by-step explanation:

12:15+35 = 12:50

1 hour = 60 minutes

60 + 12:50 = 1:50

Answer:

[tex]x=-1,\:y=-1[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}[/tex]

[tex]\mathrm{Add\:the\:equations}[/tex]

[tex]6x+4y=-10[/tex]

[tex]+[/tex]

[tex]\underline{-6x+5y=1}[/tex]

[tex]9y=-9[/tex]

[tex]\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}[/tex]

Solve 9y=-9 for y: y=-1

[tex]\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1[/tex]

Solve -6x+5(-1)=1 for x: x=-1

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-1,\:y=-1[/tex]

Answer:

Step-by-step explanation:

The equation has infinitely many solutions if LHS and RHS are same regardless the value of the variable.

Let's simplify the LHS and make sure it is same as RHS.

Let the missing numbers are a and b.

Find a and b:

Answer:

Step-by-step explanation:

The range is calculated using value of 'y'.

Here, the range is...

[tex]( - 2 ,\infty )[/tex]

Therefore, the lowest value is -2.

Answer

40

Step-by-step explanation:

Because this saying to the tenth power is representing that 4 timesing it self by 10 so if 40 is answer then do that because 4 x 10=40

4 x 1=4

4 x 2=8

4 x 3=12

4 x 4=16

4 x 5=20

4 x 6=24

4 x 7=28

4 x 8=32

4 x 9=36

4 x 10=40   See there you go have a great day hope this helps:)

Answer:

128.6

Step-by-step explanation:

9/7 = 1.28571428571

1.28571428571 x 100 = 128.571428571

rounded = 128.6

look on digit to the right of tenths place (5). Its 5 or higher, its 7, so round the 5 to 6

Answer:

Segment C

Step-by-step explanation:

constants have no slopes and are therefore straight, horizontal lines

Answer:

-3, -6

Step-by-step explanation:

Any number of x that makes the bottom 0 makes the expression undefined.

Factor the polynomial in the denominator:

(x+3)(x+6)

Values of x that makes the expression undefined are -3 and -6

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Answer:

748.41                                                      

i just did this and i am right

Answer:

x = 128

Step-by-step explanation:

x*(-8) = -16.     multiply both sides by -8 to get x by itself

x = 128

Answer:

f(x)=cos12x

Step-by-step explanation:

took the test

Answer:

4h + 2c = 186 legs

Step-by-step explanation:

h is the number horses and c is the number of chickens.

We know that 1 horse = 4 legs.

And 1 chicjen = 2 legs

We can write these as:

1H = 4 legs

1C = 2 legs

We are told that a farmer counts 186 legs.  That must be represented by the equations:

4h + 2c = 186 legs

A one-sample test for a proportion should have been performed because only one sample was used.

=========================================================

Explanation:

As the problem states at the very top, "Dan selected a random sample" which is paraphrased to "Dan selected ONE random sample". That keyword "one" means Dan should have used a one-sample test for a proportion. Not a difference in proportions test. This may seem like a trick question, but it's not.

If Dan had 2 samples, then he would go for the difference in proportions of course.