Cecilia set a goal to raise $4,800.00 for her favorite charity this year. She has decided to participate in a walk-a-thon to help her reach her goal. She found 30 sponsors and each sponsor has agreed to give her $0.50 for each mile that she walks in the walk-a-thon. If she walks a total of 25 miles, how much money will she still need to raise in order to reach her goal for this year?
A.
$4,675.00
B.
$5,175.00
C.
$4,762.50
D.
$4,425.00

Answer:

(1, - 5 )

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 lines.

The lines intersect at (1, - 5 ), then

the solution to the system is (1, - 5 )

The amount of the 1167 rupees he have to pay every month according to the interest rate.

According to the statement

We have to find that the monthly repayments.

So, For this purpose, we know that the

Interest rate is the annual rate that is charged for borrowing , expressed as a single percentage number that represents the actual yearly cost of funds over the term of a loan.

From the given information:

A couple buys furniture for R50 000. They put down a cash deposit of 20% and pay off the balance using a higher purchase agreement, over 4years. The institution charges interest of 10% p.a and monthly Insurance fee of R75.00.

Then

A couple buys furniture =  50,000

cash deposit of 20% = 20% of 50,000

cash deposit = 20/100*50,000

cash deposit = 0.2*50,000

cash deposit = 10000

Left money on which company put interest of 10% =50000 - 10,000

Left money on which company put interest of 10% = 40,000

Then

interest amount per year = 10% of  40,000

interest amount per year = 10/100*40,000

interest amount per year = 0.1*40,000

interest amount per year = 4000

It means interest paid by the customer in 4 years = 4000*4

It means interest paid by the customer in 4 years = 16000

Then

Total money he pays with interest rate in 4 years = 16000 +40,000

Total money he pays with interest rate = 56000

Then

The money he have to pay every month in 4 years = 56000/48

The money he have to pay every month in 4 years = 1167.

So, The amount of the 1167 rupees he have to pay every month according to the interest rate.

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Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

Each wedge of cheese would weigh 0.3125 pounds. Or 5 ounces.

The correct answer is ----  \(\frac{0.3125lb}{5lb}\)

Step-by-step explanation:

You divide 5/16 to get 0.3125 pounds.

Then convert 0.3125lbs to ounces. (5 oz.)

The proper fraction form for this would be    \(\frac{0.3125lb}{5lb}\)

(Writing it in a mixed number form would be the same as the proper fraction form.)

Answer:

Three plus six: 3 * 6

When we multiply x*y, we are summing x times the same number: y ory times the same number.(x)

In our case, we are summing three times six, so: 6 + 6 + 6 = 18

We could also say we are summing six times three: 3 + 3 + 3 + 3 + 3 + 3 = 18

Nowwe can say that 6 * 3 = 18

The equation of the line in standard form is y = 2x - 8.

Calculate the slope of the line using the point-slope form of a line given by y - y1 = m(x - x1), where m is the slope of the line, (x1, y1) is any point on the line.

Substituting the given x-intercept (4, 0) and y-intercept (0, 8) in the point-slope form of a line, we get:

y - 8 = m(x - 4)

Solve the above equation for m to calculate the slope of the line.

y - 8 = m(x - 4)

m = (y - 8)/(x - 4)

Substituting the coordinates of the y-intercept (0, 8) in the above equation, we get:

m = (0 - 8)/(4 - 4)

m = -8/0

Since the denominator is 0, the slope of the line is undefined.

The line's equation is provided by y = mx + b, where m is the slope and b is the y-intercept. Write this equation in standard form.

As the line's slope is ambiguous, its standard form equation is y = -8 + b, where b is the y-intercept.

Substituting the coordinates of the y-intercept (0, 8) in the equation, we get:

y = -8 + 8

y = 0

Thus, the line's equation is therefore y = 2x – 8 in standard form.

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Answer: 7x + 1

Step-by-step explanation:

(6x-4)+(x+5)

Step 1: Remove Parentheses:

              6x-4+x+5

Step 2: Combine Like Terms:

             7x +1

33.) The volume of the given triangular prism would be= 36. That is option E.(NOTA)

To calculate the volume of a triangular prism, the formula that should be used is given as follows;

Volume= BH

where;

B= area of base = 1/2 × base×height

= 1/2×4×3

= 6

H= 6

Volume= 6×6= 36.

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Answer

There are C(20, 5) = 15504 ways to select 5 extras out of a group of 20 people

Step-by-step explanation

A combination is a grouping of outcomes in which the order does not matter (A and then B is the same pair as B and then A).

The number of combinations of n things chosen k at a time is found using:

In this case, the director has to select k = 5 extras out of a group of n = 20 people, that is,

Answer: I hope this helps! The answer is B, C, E

Step-by-step explanation:

I took the test

Answer:

Answer to the following question is as follows.

Step-by-step explanation:

Given:

a = 12500000

b = 0.00125

c = 1120000​

Calculate (ab) ÷ (c)

Given:

d) Express the interval [-1.5, 4] as an inequality and then graph

Computation:

(ab) ÷ (c) = (a)(b) / c

(ab) ÷ (c) = (12500000)(0.00125) / (1120000​)

(ab) ÷ (c) = 25 / 1,792

Express the interval [-1.5, 4]

{x : -1.5 < x ≤ 4}

Graph.

._________._________.

-1.5              0                  4

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

Answer:

Positive value of correlation Coefficient

Step-by-step explanation:

The correlation Coefficient value, R is a correlation measure which gives information about both the strength of association between two variables and also the type of association between them (negative or positive). R has a standardized value which ranges from - 1 to +1

Negative relationship between variables are depicted with negative (where one variable decreases as the other increases) R value while positive association (increase in one variable means leads to increase in the other variable) are depicted with positive R values.

Therefore, for the relationship described above, the correlation Coefficient will be positive.

n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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The transformation from the parent function is a translation by (a.) 2 units down, 5 units to the left

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

f(x) = x^2

g(x) = (x + 5)^2 - 2

Rewrite properly as follows

f(x) = x²

g(x) = (x + 5)² - 2

This means that

Parent function, f(x) = x²

Transformed function, g(x) = (x + 5)² - 2

First, we have the transformation to be:

From f(x) = x² to f'(x) = (x + 5)²

This means the function is translated left by 5 units

Next, we have:

From f'(x) = (x + 5)² to g(x) = (x + 5)² - 2

This means the function is translated down by 2 units

Hence, the transformation is 5 units left and 2 units down

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The mean of the population can be calculated by finding the sum of all the heights and dividing it by the total number of observations.

This is also known as the arithmetic mean and can be represented by the formula:

Mean = (Sum of Observations) / (Number of Observations)

In this case, the sum of all the heights is 10,800 and the total number of observations is 100. Therefore, the mean of the population is:

Mean = 10,800 / 100 = 108 inches

To verify this result, we can also look at the histogram. Since the heights are grouped into intervals of 10 inches, the mean should be around the midpoint of the tallest bar, which is 108 inches. This confirms our calculation of the mean.

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Answer:

Yes

Step-by-step explanation:

Simplifiying, or combining like terms is how we are able to see a problem in a much more, easy to read format. When simplifying multiple terms into one another, it is important to ensure the items being combined all have the same variables and coefficients.

Variables: A variable is a letter used to stand for a number. The letters x, y, z, a, b, c, m, and n are probably the most commonly used variables.

Coefficients: The number used in front of a variable. Looks of that like for say, 3x. We don't have any coefficients in this problem, so no need to worry about that for now.

Looking at our problem we are given the following:

\(z+y+z+x+y+z\\\)

So Simplify this, its simple! Combine the like variables. (x with x, y with y, and z with z) Since all the variables given are positive, we are only adding like variables.

The steps would look as following:

\(z+y+z+x+y+z\\z+z+z =\\y+y= \\x =\\\)

Now, combine the like terms, and rewrite in alphabetical form:

\(z+z+z=3z\\y+y=2y\\x=1x = x\\x+2y+3z\)

With all that said, the answer is yes, this answer is equivalent to the one shown. Instead of showignthe condensed, normal form, we are given an expanded version of what is seen. The way the variables are placed in the equation do not matter, as long as all of the variable come out to have the same result.

I hope that this provided you with some clarification and I would be happy to help you again in the future! Have a nice day! :D

Answer:

Yes its equivelant. you have one x. 2 y and 3 z

Step-by-step explanation:

We are given the following complex numbers

To perform the addition of the complex numbers, simply add the like terms together.

Similarly,

Therefore, the result of the complex addition is

Answer

arrange the element in increasing order

-1.9, -1.3, -0.8, 2.3, 5.8, 7.4, 8.5, 9.9

interquatile = Q3 - Q1

\( = \frac{7.4 + 8.5}{2} - \frac{ - 1.3 - 0.8}{2} \)

\( = 7.95 + 1.05\)

\( = 9\)

Answer:

9.0

Step-by-step explanation:

i took the quiz

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

w = 0 , -3 , 3

Step-by-step explanation:

w³ - 9w = 0

w(w² - 9) = 0

w(w² - 3²) = 0

w(w+3)(w-3) = 0            {a² - b² = (a + b)(a - b) }

w = 0   ;  w + 3 = 0                ; w - 3 = 0

                     w = -3              ;        w = 3

w = 0 , -3 , 3

Answer:

Independent variable: c

Dependent variable: b

Step-by-step explanation:

The c is by itself meaning it is independent. :)

Answer:

The number of cookies in the jar before your visit: Independent variable

The number of cookies remaining in the jar: Dependent variable

Answer:

YES

Step-by-step explanation:

(-9, - 1) is a solution to the given system of linear equations.

x = - 9

x + 3y = - 9 + 3(-1) = - 9 - 3 = - 12

Answer:

The answer is "Option a"

Step-by-step explanation:

In this question, the answer is "option a", which is equal to 10, and which is based on the training load base chart.

The vector equation of system of equations is:

\(x_1\begin{bmatrix}a_1\\.\\.\\a_n\end{bmatrix}+x_n\begin{bmatrix}a_{m1}\\.\\.\\a_{mn}\end{bmatrix}=\begin{bmatrix}b_1\\.\\.\\b_n\end{bmatrix}\)

And the matrix equation is,

\(\begin{bmatrix} 3 & -1\\10 & 8\\6 & -1\end{bmatrix}\begin{bmatrix}x_1\\x_2\end{bmatrix}=\begin{bmatrix}4\\2\\1\end{bmatrix}\)

The system of eqyuations is:

3x₁- x₂ = 4

10x₁ + 8x₂ = 2

6x₁ - x₂ = 1

Consider the system of equations :

a₁x₁ + . . . + \(a_m x_m\)= b₁

.

.

\(a_n\)x₁ + . . . + \(a_{nm} x_{nm}\) = \(b_n\)

We know that the vector form of above system of equations is:

\(x_1\begin{bmatrix}a_1\\.\\.\\a_n\end{bmatrix}+x_n\begin{bmatrix}a_{m1}\\.\\.\\a_{mn}\end{bmatrix}=\begin{bmatrix}b_1\\.\\.\\b_n\end{bmatrix}\)

So, required vector equation would be,

\(x_1\begin{bmatrix}3\\10\\6\end{bmatrix}+x_2\begin{bmatrix}-1\\8\\-1\end{bmatrix}=\begin{bmatrix}4\\2\\1\end{bmatrix}\)

and the required matrix equation would be,

\(\begin{bmatrix} 3 & -1\\10 & 8\\6 & -1\end{bmatrix}\begin{bmatrix}x_1\\x_2\end{bmatrix}=\begin{bmatrix}4\\2\\1\end{bmatrix}\)

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Answer:

C

Step-by-step explanation:

Use cross multiplication method to find the answer:

\(\frac{2x+3}{3x} +\frac{x}{x+1} = \frac{(2x^2+5x+3) + (3x^2)}{2x^2+3x} = \frac{5x^2+5x+3}{3x^2+3x} \)

Answer:

a 48 x 48 unit cube

Step-by-step explanation:

a 1x 1 has 4-line segments

a 2 x 2 has 6-line segments

a 3 x 3 has 8-line segments

we see a pattern here

3 * 2 + 2= 8

2 * 2+ 2+= 6

1 * 2 + 2= 4

so 48 * 2 + 2= 100