Makana invested $900 in a simple interest account that had an interest rate that was 1% more than that of her friend Marlys. If Marilys earned $34 after one year from an investment of $850, how much did Makana earn in one year?

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Answer: This quadratic equation has two real solutions.

Step-by-step explanation:

\(y=x^{2} -11x+7\\\\D=(-11)^{2} -4 \cdot 7=121-28=93 \: > 0\\\\x=\dfrac{11 \pm \sqrt{93} }{2}\)

Answer:

A 61.00

Step-by-step explanation:

51 Added to 10 Equals 61.00 which is the Cost of 10 Bags of chicken Wings. Your Welcome.

Answer:

20,since each kilo of rice fills two bags so he i'll have 40 bags.

false,  {b}->{a} appears to hold with respect to the given instance.

A variable created in a class that has a unique copy, or instance, for each instantiated object of the class is known as an instance variable in class-based, object-oriented programming. Although not static, an instance variable resembles a class variable.

A variable specified within a class but outside of constructors, methods, or blocks is known as an instance variable. All the constructors, methods, and blocks in the class have access to instance variables, which are created when an object is instantiated. To the instance variable, access modifiers can be applied.

false,  {b}->{a} appears to hold with respect to the given instance.

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The range of the graph of the exponential function is (b) {y | y > 0}

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

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

1008 in

Step-by-step explanation:

84x12=1008

84 feet times 12 inches because 12 inches is a foot.

so 84 feet times 12 inches gets your answer. 84 times 12=1008

make sense?

Answer:

12 inches

So, we are going to let "x" be the height inches (in the model) of a 84 foot building.

According to the information that was given we know that the height of a two-story building is 21 feet and in the scale model its height is 3 inches.Knowing this, we can set up the following proportion:  

3/21 = x/84

The final step is to solve for "x" in order to calculate its value. We get that this is:    3/21 =x/84

(84) (3/21) = x

So , an 84 foot building will be 12 inches tall in the model.

(when I do the "3/21 it doesn't mean divide it's a fraction"

Answer:

33 bags

Step-by-step explanation:

she has 4.5 ft³

she needs 54 ft³

she must get an additional

54 ft³ - 4.5 ft³ = 49.5 ft³

each bag has 1.5 ft³

(49.5 ft³)/(1.5 ft³) = 33

Answer: 33 bags

Based on the amount that Steve Weatherspoon wants to withdraw every year beginning in June 30, 2024, and the interest rate, the balance on June 30th 2023 should be $45,203.

The fact that Steve Weatherspoon wants to be able to withdraw a particular amount every year, this makes this amount an annuity.

The value in 2023 would therefore be the present value of the annuity that will then accrue to the required amounts as the years go by.

The present value of an annuity is:

= Annuity amount per year  x Present value interest factor of an annuity, 11%, 3 years between 2024 and 2027

Solving gives:

= 13,126.25 x 3.44371

= $45,203

In conclusion, the balance on the fund in 2023 should be $45,203 in order for Steve Weatherspoon to achieve his objectives.

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We have the followed expression for a giving line:

Isolating the Y we find the expression:

We know that if a line with expression y=mx+b is perpendicular to the line that the question gave to us, the product of the slopes of the two lines must be:

With this last expression, we can find the slope for the line perpendicular to our first line:

So, our slope is 7/2

the answer is g(x)= (x+6).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

from the given , we get,

f(x)=x^4

and, f(g(x))= (x+6)^4

hence, the answer is g(x)= (x+6).

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The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Answer:

-8n+16. You can also put 16-8n

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer:

7/5

Step-by-step explanation:

rewrite as an equation ..

3 4/5 \ x = 2 5/7

times x to both sides

2 5/7x= 3 4/5

divide 2 5/7 from both sides

x=7/5

Answer:

-23

Step-by-step explanation:

1. When multiply a positive number by a negative number, the answer will always be negative.

2. When we multiply any number by 1, that number will stay the same.

Therefore, the answer is -23!

Answer:

  6

Step-by-step explanation:

The slope (m) can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

  m = (2 -(-10))/(17 -15) = 12/2

  m = 6

The slope of the line is 6.

Answer:  6

Step-by-step explanation:

Answer:

\(m_{perpendicular}\) = 6

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 )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

Answer:

$ 56.25 is he answer

Step-by-step explanation:

.... .. . . . . . . ............ ......

Note that given the above functions, the completed table is given as follows;

x g(h(x))

0 -11

1 7

2 25

3 43

4 85

To complete the table for g(h(x)), we need to first find the value of h(x) for each value of x in the table, and then substitute that value into the function g(x) to get the corresponding value of g(h(x)).

x h(x)                       g(h(x))

0 3(0)²-3                g(-3) = 2(-3)-5 = -11

1 3(1)²-3               g(6) = 2(6)-5 = 7

2 3(2)²-3               g(15) = 2(15)-5 = 25

3 3(3)²-3               g(24) = 2(24)-5 = 43

4 3(4)²-3              g(45) = 2(45)-5 = 85

Therefore, the completed table for g(h(x)) is:

x g(h(x))

0 -11

1 7

2 25

3 43

4 85

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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached table.

Answer:

Firstly we need to find the gradient of give two points as follows;

M= y

Answer:

Answer: y = -x - 1

Step-by-step explanation:

- Consider a straight line passing through (x, y) from the origin (0, 0). That line with a positive gradient of m and meets at a point (0, c) [y-intercept]

- It has a general equation as below;

\({ \rm{y = mx + c}} \\ \)

- So, consider the line given in our question; Let's find its slope m first;

\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \)

- From the points given in the question, (-7, 6) and (3, -4)

\({ \rm{m = \frac{ - 4 - 6}{3 - ( - 7)} }} \\ \\ { \rm{m = \frac{ - 10}{10} }} \\ \\ { \underline{ \rm{ \: m = - 1 \: }}}\)

- Therefore, our equation so far is y = -x + c. Our line has a negative slope that means it slants from top to bottom, its origin is its y-intercept

- Consider point (3, -4);

\({ \rm{y = - x + c}} \\ { \rm{ - 4 = - 3 + c}} \\ { \rm{c = - 1}}\)

- y-intercept is -1

hence equation is y = -x - 1

\({ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}\)

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per n seconds

- Need to solve for n

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

\(\frac{1.86 * 10^5}{1}\) = \(\frac{5.062 * 10^1^3}{n}\)

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

n × (1.86 × 10^5) = 5.062 × 10^13

4. Solve for n by isolating the variable and dividing.

\(\frac{n (1.86 * 10^5)}{1.86 * 10^5}\) = \(\frac{5.062 * 10^1^3}{1.86 * 10^5}\)

n = \(\frac{5.062 * 10^1^3}{1.86 * 10^5}\)

n = 2.72 × 10^8 (Make sure to include the unit, seconds)

The number of seconds it takes light to travel from Sirius to Earth is \(2.72\times10^{8}\).

Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.

We need to find out how many seconds it takes light to travel from Sirius to Earth.

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

Let the number of seconds it takes light to travel from Sirius to Earth be n seconds

Now, the proportion=\(\frac{1.86\times10^{5}}{1} =\frac{5.062\times10^{13}}{n}\)

⇒\(n=\frac{5.062\times10^{13}}{1.86\times10^{5}}\)

⇒\(n=2.72\times10^{13-5}=2.72\times10^{8}\)

Therefore, the number of seconds it takes light to travel from Sirius to Earth is \(2.72\times10^{8}\).

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35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42\)

Answer: Multiply n299 by n by adding the exponents

Step-by-step explanation:

8n230+15=0

Answer:3.3

Step-by-step explanation:

Circumference=8

Φ=288

π=3.14

Radius=r

Circumference=2 x π x r

8=2 x 3.14 x r

8=6.28 x r

Divide both sides by 6.28

8/6.28=(6.28 x r) /6.28

1.3=r

r=1.3

Length of arc =Φ/360 x 2 x π x r

Length of arc =288/360 x 3.14 x 1.3

Length of arc =0.8 x 3.14 x 1.3

Length of arc =3.3

Answer:32/5

Step-by-step explanation: did it in khan

A line of two points (4, 2) and (-1, k) is perpendicular to the line y=2x+1, then k = 9/2.

Given a line with equation y = mx + c, the slope is denoted by m.

Given 2 points with slopes m₁ and m₂, those two lines are perpendicular if:

m₁ x m₂ = -1

The given line equation is:  y = 2x+1

Hence,

m₁ = 2

Compute the slope from 2 points: (4, 2) and (-1, k)

m₂ = (k - 2) / (-1 - 4)

m₂ = (-1/5) (k - 2)

Use the condition for perpendicular lines:

m₁ x m₂ = -1

2 x (-1/5) (k - 2) = -1

2k - 4 = 5

2k = 9

k = 9/2

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