A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.

Answer:

#6=perimeter=32 area=55

#7=perimeter=66 area=242

#8=perimeter=94  area=550

Step-by-step explanation:

5+5+11+11=32

5x11=55

22+22+11+11=66

22x11=242

22+22+25+25=94

22x25=550

Answer:

Step-by-step explanation:

7) Volume of the shape = Volume of triangular prism - volume of cylinder

Triangular prism:

[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]

b = 6 ft & height of the triangle = 5 ft

[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]

               = 3*5

               = 15 ft²

Volume of prism = 15 * 4

                           = 60 ft³

Cylinder:

r = 2÷2 = 1 ft & h = 4 ft

Volume of cylinder = 3.14 * 1 * 1 * 4

                                = 12.56 ft³

Volume of the shape = 60 - 12.56

                                    = 47.44 ft³

8) Volume = Volume of Pyramid -  Volume of cone

[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]

[tex]\text {base area = length * width}\\\\\\[/tex]

                = 9 * 9

                = 81 m²

Volume of Pyramid = 81 * 8

                                = 648 m³

[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]

r = diameter ÷ 2 = 6÷2

r = 3 m & h = 8 m

[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]

                        = 3.14 * 3 * 8

                        = 75.36 m³

Volume of the shape = 648 - 75.36

                                     = 572.64 m³

9) Volume of the shape = volume of cylinder + volume of cone

Cylinder:

h = 7 in ; r = 3

[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]

                                [tex]=\dfrac{22}{7}*3*3*7[/tex]

                                  = 22 *3 * 3

                                   = 198 in³

Cone:

r = 3 in & h = 4 in

[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]

                         = 3.14 * 3 * 4

                          = 37.68 in³

Volume of the shape = 198 + 37.68

                                     = 235.68 in³

10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder

Volume of outer cylinder:

R = 9 m  & h = 3 m

Volume of outer cylinder = 3.14 * 9 * 9 * 3

                                          = 763.02 m³

Volume of inner cylinder:

r = 5 m & h = 3 m

Volume of inner cylinder = 3.14  * 5 * 5 * 3

                                          = 235.5 m³

Volume of the shape = 763.02 - 235.5

                                    = 527.52 m³

The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.

Answer:

I =  $22,500.00

A = $47,500.00

Given Data

Principal = $25000

Rate = 15%

Time = 6 years

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 25000(1 + (0.15 × 6)) = 47500

A = $47,500.00

I = A - P = $22,500.00

Learn more about simple interest here:

https://brainly.com/question/20690803

Answer:

See below ↓

Step-by-step explanation:

Information we need

Solving

Answer:

19.6

Step-by-step explanation

= Sum of terms / number of terms

= ( 20 + 19 +18+ 20 +19 +22 ) / 5

= 19.6

Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.

As stated in the problem, it is modeled by:

y ≤ –x2 + 5x

y > x2 – 4

For ordered pair (-1,-1), we have that:

y ≤ –x2 + 5x

-1 ≤ –(-1)2 + 5(-1)

-1 ≤ -6

Which is false.

For ordered pair (0,2), we have that:

y ≤ –x2 + 5x

2 ≤ –(0)2 + 5(0)

2 ≤ 0

Which is false.

For ordered pair (2,5), we have that:

y ≤ –x2 + 5x

5 ≤ –(2)2 + 5(2)

2 ≤ 6

Which is true.

y > x² - 4

5 > 2² - 4

5 > 0

Which is true.

Hence ordered pair (2,5) is a solution to the given system of inequalities.

More can be learned about a system of inequalities at https://brainly.com/question/9774970

Answer:

the third option (2,5)

Step-by-step explanation:

I just took the test:)

Step-by-step explanation:

please mark me as brainlest

Answer:

6a - 9

Step-by-step explanation:

[tex]12(3a-1) -3(14a-1)\\[/tex]

First you want to factor. Factor out a -3 from both terms.

[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]

Then you want to expand the right bracket.

[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]

Collect the like terms

[tex]= (-3)(-2a +3)\\[/tex]

Distribute:

[tex]= 6a - 9[/tex]

Answer: perimeter: 40.79

Area: 84

Step-by-step explanation:  

perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 +  6 + 9 = 40.79

area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84

Answer: 40 degrees

Step-by-step explanation:

Answer:

Not normal, because we expect fewer than 10 children to redeem the coupon.

Step-by-step explanation:

Answer:

C=2πr

r=C/2π

 198/2π

≈31.51268cm

Answer:

82.358

Step-by-step explanation:

You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.

676 • 122 - 45 + 69

82,472 - 45 + 69

Then you add because A is next.

82,472 - 114

Then finish it

82,358

Your answer would be = 82,358

I hope it helps! Have a great day!

Muffin ^^

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

Answer:

9.5

Step-by-step explanation:

First order them:

5, 5, 8, 11, 12, 14

The go to the middle

2, 8, 11, 12

8, 11

8 + 11 = 19

19 / 2 = 9.5

Answer:

9.5 is your answer

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.

D

Answer:

41

Step-by-step explanation:

5 integers with an average of 44

⇒ sum of the integers = 5 x 44 = 220

The median is the middle number when the numbers are put in order of smallest to largest.  So the integers are:  x  x  50  x  x

The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52.  Since the median is 50, the integers are:  x x 50 52 52

Therefore, the remaining two integers are less than 50.

The range is the difference between the largest integer and the smallest integer.  As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25

25 x 50 52 52

To find the last unknown integer :

⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220

⇒ x = 41

Therefore, the integers are:

25, 41, 50, 52, 52

Answer:

A

Step-by-step explanation:

(1.7x10²³) and (3.4x10²³) cancel into 0.5.

0.5(8x10^-14) = 4x10^-14

Answer:

13.6x/3.4 x 10^14 This is a fraction by the way hope this helps

Step-by-step explanation:

13.6

x

3.4

⋅

10

14

Answer:

C, $12

Step-by-step explanation:

Every hour worked the employee earns $12. This is a fixed rate and the answer is shown in the 1st slot of the table -- 1 hour = $12

Answer:

12 dollars per hour

Step-by-step explanation:

For each hour worked, we make 12 dollars as show in the first column, 1 hour is 12 dollars

We can check using the last colum

48 dollars / 4 hours = 12 dollars per hour

Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

1 large cube is 2 x 3 cubes equals 6

length is 3 x 4 x 2 = 24

24 x 3 = 72 for each layer

72 x 2 = 144 smaller cubea

Answer:

First Number: 2

Step-by-step explanation:

You need to work backwards, as an algebraic equation.

24 ÷ 3 = 8

8 ÷ 2 = 4

4 × 2 = 8

8 - 6 = 2

The first number is 2.

- Educationist

Answer:

I believe the majority you got correct, just a few changes. Look at image above for reference.

Answer:

A, E, B

Step-by-step explanation:

circles are 360⁰ and lines are 180⁰

Answer:

18.84 square centimeters

Step-by-step explanation:

[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]

[tex]C = (3.14)(6)[/tex]

[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]

P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.

Answer:

No

Step-by-step explanation:

The sample size wasn't big enough. It could only be a trend in that grade.

Answer:

Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Answer: 1/3, 4/5, 7/8, 9/10

Step-by-step explanation:

4/5 9/10 1/3 7/8

240

5*48=240  4*48=192      192/240

10*24=240 9*24=216        216/240

3*80=240   1*80=80          80/240

8*30=240    7*30=210        210/240

Answer:

option 1 (the basic)

Convert it into a common factor.

So everything in the denominator has to have a common multiple then we can compare from there.

You can either find every multiple here and then see which ones the same or multiply them all (not recommended)

so 120 is the common factor here.

I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.

8 here is the one I calculated.

My process:

8*5 = 40

40 doesnt go to 3

8*10 = 80

80 doesn’t go to 3

8*15 = 120

120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)

So 120 is the denominator.

Now we divide each to find the numerator now.

120/5 = 24

So we multiplieds 24 by 5 to get 120.

Thats the bottom, whatever we do on the bottom we do to the top.

So 4 * 24 is 96

96/120

Now lets fast forward

In the end you’d end up with in the order we began with

96/120 …(4/5)

108/ 120 …(9/10)

40/120 …(1/3)

105/120 …(7/8)

Now we put them in order from least to greatest in this case.

40/120 …(1/3)

96/120 …(4/5)

105/120 …(7/8)

108/120 …(9/10)

Your order would be

1/3

4/5

7/8

9/10

Option 2 (the decimal)

SO in this case you jsut convert them into a decimal then compare

This is relatively easier since its jsut basic division with decimal.

You do numerator divide by denominator.

4 ÷ 5 = 0.8

9 ÷ 10 = 0.9

1 ÷ 3 = 0.3333333…

7 ÷ 8 = 0.875

Now you just put them in order

0.2, 0.333…, 0.875, 0.9

Same order as before

1/3, 4/5, 7/8, 9/10

Answer: (1)

Step-by-step explanation: