Find the compound interest and the amount after twelve seconds if the
interest is compounded every three seconds.
Principal = 20,000
Rate of interest = 800%
Total amount =
Compound interest =

Answer:

19 cm.

Step-by-step explanation:

Area = h(a + b)/2

where h = height, and a and b are parallel sides,

145 = 10(10 + b)/2

290 = 100 + 10b

10b = 190

b  = 19 cm.

Answer:

percent of contribution on bike production by Finland= 1916000/89000000*100 = 2.153%

Step-by-step explanation:

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

In general, if the range of a function is y≥−1, its inverse has a domain of y≥−1. So, the range of the inverse of the cubic root function is y≥−1.

The range of a cubic root function becomes the domain of a cube function and vice versa since a cubic root function is an inverse function of a cube function. Therefore, the cube function's range is x3 if the cubic root function's domain is x3.

A function's inverse typically has a domain of y1 if its range is y1. Therefore, y1 is the domain of the inverse of the cubic root function.

Describe a function.

A function is a mathematical relationship between a domain—a set of inputs—and a range—a set of outputs. Each input in the domain is given a distinct output, known as the function value, by a function. An equation or graph can be used to depict the function value.

A function is typically represented symbolically by an equation that describes the relationship between the inputs and outputs and a letter, like f or g, as well as the letter. For instance, the equation of a function that accepts a value of x as input and produces its square is f(x) = x2.

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Answer:

$37.5+$3r

Step-by-step explanation:

We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).

We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.

Then, you can add it which is $37.5+$3r

Answer:

the answer is 2

Step-by-step explanation:

Hi there!

\(\large\boxed{3 \text{ boxes}}\)

Calculate the number of boxes of cubes needed by calculating the volume of the pictured figure.

We can see that it has a width of 4 blocks, depth of 2 blocks, and a height of 8 blocks.

Calculate volume: V = l × w × h

V = 4 × 2 × 8  = 64 cubes in each box.

Since she needs 140 cubes, we can find how many boxes she would need for this amount:

140 ÷ 64 = 2.1875.

However, you cannot buy a part of a box, which is why you must round to a whole number. However, only buying 2 boxes would be too little.

Thus, she would need to buy 3 boxes.

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

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

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer: YES

Step-by-step explanation: both equal 5 when divided.

the daily balance equals the previous day's balance plus new purchases minus the payments and credits

New purchases included indicates that at the conclusion of each day, the firm adds any new purchases to the balance. In other words, the daily balance is equal to the previous day’s amount plus any new purchases less any payments or credits. Credit card issuers will also impose a late fee if payment is not received by the due date.

The daily balance approach calculates your finance fee based on your actual amount on each day of your billing cycle rather than an average of your balance throughout the course of the billing cycle. Finance costs are computed by adding each day’s amount and multiplying it by the daily rate, which is 1/365th of your APR.

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Answer:

A. She should rewrite both equations in slope-intercept form.  

(this step is true in general, but only the first requires the rewriting for this particular example, so become ambiguous).

B. She should rewrite the first equation in slope-intercept form.

D. When rewriting the first equation, she should subtract 2x from each side of the equation to get –7y by itself.

(this is just the first part of the step of the rewriting)

Step-by-step explanation:

Antoinette needs to solve this system of equations by graphing. Which statements explain how she should graph the equations? Check all that apply.

2 x minus 7 y = 56.

y = negative 2.5 x + 4.

A. She should rewrite both equations in slope-intercept form.  

B. She should rewrite the first equation in slope-intercept form.

C. She should find that the second equation has a slope of 4.

D. When rewriting the first equation, she should subtract 2x from each side of the equation to get –7y by itself.

E. After rewriting the first equation in slope-intercept form, she should find that both lines have negative slopes.

Answer:

The answer is b and d

Step-by-step explanation:

I took the test on edge and got it wrong because of the other person

HOPE THIS HELPS!!!

The first expression is

We have to reduce like terms

The first answer is 4.2x

The second expression is

The third expression is

Observe that in the third expression we only factored out the greatest common factor which was a.

Answer:

1 1/3 pounds

Step-by-step explanation:

15/9 = 1 1/3

Hope this helps!

Answer:

1.66pounds/$

Step-by-step explanation:

$9=15pounds

$1= less

1/9×15

=15÷9

=5÷3

=1.66pounds/$

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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Answer:

a = \(\frac{d}{b+c}\)

Step-by-step explanation:

a(b + c) = d

isolate a by dividing both sides by b + c

a = \(\frac{d}{b+c}\)

Answer:

\(5^{14/5}\)

Step-by-step explanation:

\(\frac{5^3}{5^{1/5}} \\ \\ 5^{3-\frac{1}{5}} \\ \\ =5^{14/5}\)

Answer:

We know that

The costs of repair for each of the four crashes were

$2529, $1889, $2610, $1073

Here we have to compute the mean, median, and mode cost of repair.

Mean = total cost

the no of crashes

Mean = $2529 + $1889 +$2610 +$1073

4

Mean = $2025.25

Therefore the mean = 2025.25

Then we have to find median.

Now first we have to arrange the data in ascending order (smallest to highest).

$1073,$1889,$2529,$2610

Add the two middle numbers and then divide by two, to get the average:

$1889+$2529 = $4418

Median = $4418/2 = $2209

Therefore the median = $2209

Here there is no mode cost.

Answer:

(-5,-37)

(-4,-34)

(-3,-31)

(-2,-28)

(-1,-25)

(0,-22)

(1,-19)

(2,-16)

(3,-13)

(4,-10)

(5,-7)

(6,-4)

Step-by-step explanation:

y - 10 = 3(x - 11)

y - 10 = 3x - 33

y = 3x -22

Answer:

1992

Step-by-step explanation:

60x38=2280

32x9=288

2280-288=1992

Hope it helps!

Answer:

D. turns

Step-by-step explanation:

Rotation is the process of turning around a center or an axis.

(Sorry if it's wrong. I hope I helped somewhat.)

✿————✦————✿

Answer: A

\(62=\frac{12(1.04^{12}-1) }{1.04-1}\)

✿————✦————✿

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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For any value of k and h = -18, the system will have infinitely many solutions.

Hence, option (b) is the correct choice.

A coefficient matrix in linear algebra is a matrix made up of the coefficients of the variables in a group of linear equations. In order to solve systems of linear equations, the matrix is employed.

The system will have infinitely many solutions when the determinant of the coefficient matrix is equal to 0.

The determinant can be calculated from the upper triangular matrix as the product of the diagonal elements, which is 0 * (-20) * (h + 18) = 0.

Therefore, the system will have infinitely many solutions when h + 18 = 0,

or h = -18.

This means the answer is (b) any value of k and h = -18.

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Answer:

5) 9

6) 11 2/3

Step-by-step explanation:

Use the Pythagorean Theorem.

5)  a²+5.6²=10.6²

a²+31.36=112.36

a²=81

a=√81

a=9

6) a²+4²=12.3333²

a²+16=152.11111

a²=152.11111-16

a²=136.1111

a=√136.1111=11.6666

Answer:

x= 12

Step-by-step explanation:

180° = (3x - 6) + (8x + 4) + 50°  because all interior angles of a triangle add up to 180°

180° = 11x +48°

11x = 132°

x = 12