The pair of polygons is similar. Find the value of x.

187. 5 in
12 in
30 in
37.5 in

Size of final payment is $6392.43

Given that formula for compound interest is P(1+r/n[tex])^{nt}[/tex]

where P is initial principal

r is interest rate

n is compound times per period

t is time in years

We find all the variables in the formula in order to get our answer.

Initial principal = 96000 less 25%= 72000

interest rate = 9%

number of compound times= 12

time in years =4.25 years (whole period is 4.5 years since number of payments to complete balance will take 54 months)

Hence principal and CI after 4 years and 3 months(the second to last payment)

72000(1+0.09/12)^12x4.25=$105,393.6

We use $105,393.6 as our principal to calculate the whole interest and principal for the period in order to find last payment

105393.6(1+0.09/12)^12x0.25=$107,786.03

interest for the final month = $107786.03-$105,393.6=$2392.43

To get our final payment, we add the principal payment of $4000 to final compounded interest =$6392.43

The value of "s" as a function of other  variables is s =  (w - rh)/c

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w

We will make "s" the subject of the formula:

Subtract rh from both sides

cs + rh - rh = w - rh

cs = w - rh

Divide both sides by c

cs/c = (w - rh)/c

s =  (w - rh)/c

Hence the value of "s" as a function of other  variables is s =  (w - rh)/c

Learn more here: https://brainly.com/question/21406377

Answer:

i think this correct

Step-by-step explanation:

3.24=(1+9.4/100) x

then x= 2.961 $

Answer:

Step-by-step explanation:

The volume of the tank= (50x30X20) cm^3

                                       = 30000cm^3

                                       = 30 l

1 l costs 300 tk

therefore 30 l costs= 30X300 taka

                                = 90000 taka

Answer:

Step-by-step explanation:

37,4gam

Answer:

5

Step-by-step explanation:

Answer:

  No; no sign change of g(x) in that interval

Step-by-step explanation:

The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.

There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].

_____

Additional comments

We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].

__

First differences of the table values are ...

  -5, +1, +2, -3, 0

Second differences are ...

  6, 1, -5, 3

Third differences are ...

  -5, -6, +8

This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...

  g(x) = -5/6x^3 +1/2x^2 +7/3x -1

You may want to discuss this question with your teacher.

Answer:

8. b

9. d

Step-by-step explanation:

3 7/8 + 6 5/8 =

9 12/8 = 10 4/8

10 4/8 = 10 1/2

The answer is 10 1/2

If you are not looking for a mixed fraction it should be..

21/2

Answer:

  16.6 ft^2

Step-by-step explanation:

1 foot = 0.3048 meter

  1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2

  ≈ 16.6 ft^2

_____

Additional comment

The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.

Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.

I cant really interpret it for you, but here's what all the numbers mean in context:

Constant

Coefficient

The other 3 values for the constant can usually be ignored.

Wins

Coefficient

SE Coefficient

T-value

Before moving on, I'll use these hypothesis:

P-value

Alpha value

Other things

S

R²

Adjusted R²

Conclusion

Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.

However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.

Answer:

(4- x)(x - 4) = 16 - x2 help me sir please

Answer:

9

Step-by-step explanation:

9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.

Answer:

Sarah mowed 1 lawn in 3 hours

Step-by-step explanation:

3 lawns divided by 3 is 1 lawn

9 hours divided by 3 is 3 hours

Answer:

See below:

Step-by-step explanation:

So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:

[tex]\frac{3}{9}=3:9[/tex]

Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.

Have a nice day and feel free to ask me if you need more help :D

Answer:

D

Step-by-step explanation:

Because the y-intercept is -3

Answer:

5

Step-by-step explanation:

The answer is 60/12 becuase we can simfly both of theese mixed numbers into an improper fraction, wich will be 4/3*15/4. We do the multiplication, and we get 60/12. 60/12 can be simplifed to 5 becuase 60 divided by 12 is 5

Answer:

b

Step-by-step explanation:

2/5 * 2x = 4/5

2/5 * 3 = 6/5 = 1 1/5

Answer:

B.

Step-by-step explanation:

Using the distributive property (multiplying 2/5 to both 2x and 3) we can get the answer 4/5x + 1 1/5.

I hope this helps :)

9514 1404 393

Answer:

  f(x) = -1/3x +23/3

Step-by-step explanation:

You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:

  f(x) = -1/3x +23/3

__

Approaching this in the usual way, we recognize we have points ...

  (-1, 8) and (5, 6)

The slope of the line through those points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (6 -8)/(5 -(-1)) = -2/6 = -1/3

Then the point-slope equation of the line is ...

  y - 8 = -1/3(x +1)

Adding 8 gives us a form we can use for a function definition:

  f(x) = -1/3(x +1) +8

  f(x) = -1/3x +7 2/3

Answer:

You need 1 cup of sugar.

Step-by-step explanation:

16/20 = 4/5

1 1/4 = 5/4

5/4 x 4/5 = 1

You need 1 cup of sugar.

Answer:

[tex]8\frac{13}{24\\}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]

[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2

Answer:

[tex](x-4)(x^2+6)[/tex]

Step-by-step explanation:

x³-4x²+6x-24 is our equation

Once we factor it we get

[tex](x-4)(x^2+6)[/tex]

Answer:x[tex]\geq[/tex]1

Step-by-step explanation:

remove the brackets

7x+49≤56

collect like terms

7x≤56-49

7x[tex]\geq[/tex]7

divide both sides by 7

x[tex]\geq[/tex]1

Step-by-step explanation:

geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).

s1 = 5

s2 = s1 × 1/3 = 5 × 1/3

s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9

sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)

s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243

Answer:

21 is the answer

Step-by-step explanation:

Given:

Let's use the given clue to solve the problem.

15 - 3x = Solution

=> 15 - 3(-2) = Solution

=> 15 + 6 = Solution

=> 21 = Solution

After working on this problem, we can conclude that 21 is our answer.

- [tex]GenuisUser[/tex] -

Answer:

21

Step-by-step explanation:

So, when given a question like this, we must plug in the number give for "x" in the equation.

[tex]15-3x = 15-3(-2)[/tex]

Now, we can simplify using PEMDAS

[tex]15+6 = 21[/tex]

Dont forget that a negative times a negative equals a positive!

Answer:

3

Step-by-step explanation: because 15 divided by 5 equals 3

Answer:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]

Step-by-step explanation:

Step 1 - Simplify by expanding the brackets:

[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]

Step 2 - Subtract 8 from both sides so the equation equals 0:

[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]

Step 3 - Use the quadratic formula:

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]

Plug variables in:

[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]

[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]

So x is either:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]

[tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]

[tex]x = \frac{4}{5}[/tex]

Hope this helps!