Your friends, Fernando and Amelia, each own a video game designer company. They both want you to join their company. You currently have a part-time job making $8. 00 per hour. Fernando offers to pay you $15 per hour for the first month and then increase your hourly rate by $1. 00 each month. Amelia says she will start your pay at $8. 00 per hour but she will increase your hourly rate by 10% each month. In order to make the best decision, you decide to use the mathematics to choose the best offer based on the best hourly wage per month.



Write the equations to represent Fernando’s job offer and Amelia’s job offer. Let x = number of months, y = hourly wage.



Under what time period would you accept Fernando’s offer? Use mathematics to support your reasoning.



Under what time period would you prefer Amelia’s offer? Use mathematics to support your reasoning.



Now that we have looked at the different figures for Fernando and Amelia, which job would you take for the long run? Use mathematics to justify your answer

Answer:

10 + 20 = 30

Step-by-step explanation:

If you subtract 5 from 25 you get 20 which is the length distance from b to c. Let's do the same to 15, 15 - 5 = 10. So now let's add our given lengths:          10 + 20 = 30.

Answer:

For whatever reason, there are different formats for simple linear equations. I prefer the slope-intercept form; at times, the point-slope form is helpful; some textbooks strongly prefer what they sometimes call the "intercept" form, which is often (though not always) given as being "Ax + By = C", so-called because the intercepts are at \small{ \left(0,\,\frac{C}{B}\right) }(0,

B

C

) and \small{ \left(\frac{C}{A},\,0\right) }(

A

C

,0). (Still others prefer a "standard" form, for which there is no actual standard. But I digress.)

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Answer:

collect like terms in the form y= mx+c

-2y=-3x +10

divide both sides by-2 to have

y=1.5x+2

Answer:

4/7

Step-by-step explanation:

Answer:

4/7 ounces of butter makes a pound of jello

Step-by-step explanation:

7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.

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Work Shown:

total distance = 43+40+46 = 129 km

total time = 1+1+1 = 3 hours

average speed = (total distance)/(total time)

average speed = (129 km)/(3 hrs)

average speed = (129/3) (km/hr)

average speed = 43 km per hour

if you add all 3 together than you will get 129 thats what i got. is that what you need?

Answer:

DF=2.68

EF=2.01

Step-by-step explanation:

The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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Answer:

-20

Step-by-step explanation:

7m-9m=36+4

-2m=40

m=-20

Answer: m = -20

Step-by-step explanation:

Answer:

Jamie has 44 pairs of shoes

Step-by-step explanation:

Let

Jamie= x pairs of shoes

Suzie= 33 less than twice the amount of shoes Jamie has

2x - 33 = 55

Solve:

2x - 33 = 55

Collect like terms

2x = 55 + 33

2x = 88

Divide both sides by 2

2x / 2 = 88 / 2

x = 44

Jamie = x = 44 pairs of shoes

Therefore, Jamie has 44 pairs of shoes

Lasso, ridge regression, and random forest models have been applied successfully in Malaysia to predict economic growth, crime rates, and the performance of Islamic banking institutions.

Lasso, ridge regression, and random forest approach that are suggested in the article could be applied to Malaysia. Lasso and ridge regression are regression models that are used to prevent overfitting, which is common when there are many predictors and few observations. Random forest is a decision tree-based model that is used for classification and regression analysis.

The study by Ashraf and Khan (2018) aimed to predict the economic growth of Malaysia by using regression models. The study used the Lasso regression model as it has been used for feature selection, where it can automatically remove unnecessary predictors from the model, and is good at handling multicollinearity. The study concluded that Lasso regression was the best model to predict economic growth in Malaysia.

In another study by Rizwan et al. (2017), it was found that random forest could be used to predict crime rates in Malaysia with a high degree of accuracy. In a study by Sulaiman et al. (2020), it was found that ridge regression can be used to predict the performance of Islamic banking institutions in Malaysia.

To conclude, Lasso, ridge regression, and random forest models have been applied successfully in Malaysia to predict economic growth, crime rates, and the performance of Islamic banking institutions.

Therefore, it can be said that these models can be used in Malaysia to make predictions.

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Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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For a function, f(x) = 1 + 3x , the computed value of lim h→0 [f(5 + h) − f(5)]/h is equals to the three.

In Mathematics, the limit of a function is a value of the function as the input of the function tries approaches some number. Function limits are used to define continuity, integrals, and derivatives. Mathematically, let f(x) be a function and L be limit of function, f(x) at x a exist if and only if lim f(x) = lim f(x) = L

x→a⁻ x→a⁺

We have, f(x) = 1+3x and will compute lim h→0 [f(5 + h) − f(5)]/h . Firstly, determine the value of function at x = 5 , x = 5+h.

So, f(5) = 1+ 3×5 = 16 and f(5+ h) = 1+3(5+h)

= 16+ 3h

Now, lim [ f(5 + h) − f(5)]/ h

h→0

= lim [(16 + 3h) − (16) ]/ h

h→0

= lim [ 16 + 3h - 16 ]/ h

h→0

= lim [ 3h/ h ] = lim [ 3h¹h⁻¹ ]

h→0 h→0

= lim [ 3h¹⁻¹ ] = lim [ 3h⁰ ]

h→0 h→0

= lim 3 (1) = 3 ( since, x⁰ = 1 )

h→0

Hence, the required limit value is 3.

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Someone who makes $40,000 in the United States would need to earn  $26,400 in Mexico

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Earning in the United States equals earning in Maxico.

By applying the formula, a person's estimated annual income in the United States is $30303 when their annual income in Mexico is $20,000.

hence when $30303 in United States = $20,000 in Maxico

$40,000 in United States = (20,000/30303) * 40,000 in Maxico = $26400 (Approx)

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Answer:

Here you are...

Step-by-step explanation:

If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. ... It will make the volume 4 times as much also. the volume would go from 30 to 120.

Answer:

B) 23

Step-by-step explanation:

23 girls x 4 boxes each = 92 boxes

92 + 11 extra = 103

23 girls x 5 boxes each = 115 boxes

115 - 12 = 103

Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop.

Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop. so option B is correct.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; Mrs. Warren has b boxes of Girl Scout cookies that she wants to distribute to the members of her troop.

If she gives each girl 4 boxes, she will have 11 boxes left over then,

23 girls x 4 boxes each = 92 boxes

92 + 11 extra = 103

If she wanted to give each student 5 boxes, she would need an additional 12 boxes then,

23 girls x 5 boxes each = 115 boxes

115 - 12 = 103

Hence, Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop. so option B is correct.

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It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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Answer:

I'm the coolest of all

Step-by-step explanation:

Amogos

Answer:

p = 43

Step-by-step explanation:

I assume you mean an expression with exponents.

In the future, for a to the n power use a^n.

Recall the following two rules of exponents:

\( x^a \times x^b = x^{a + b} \)

\( (x^a)^b = x^{ab} \)

Now we can answer your question.

\( (x^{22})(x^7)^3 = \)

\(= (x^{22})(x^{21})\)

\( = x^{43} \)

Since

\( x^{43} = x^p \)

then

p = 43

Answer:

Hey There!

Let's solve...

\( \frac{a}{a + 2} = \frac{3}{5} \\ \\ \)

if a/b=c/d,then it will be a*d=b*c

Note: * means "×" or multiply

Let's continue...

\(a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ \)

\(now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 \)

So final answer is a=3

The value of a in the equation is 3

The equation is given as:

\(\frac{a}{a+2} =\frac 35\)

Start by cross multiplying the above equation

\(5 \times a = 3 *(a + 2)\)

Simplify each product

\(5a =3a + 6\)

Collect like terms

\(5a -3a = 6\)

Evaluate the difference

\(2a = 6\)

Divide both sides by 2

\(a = 3\)

Hence, the result of the equation is 3

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We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.

So, length of the safety rail is given by:

Where:

r = 10 yd

pi = 3.14

Substitute, we have:

The Answer is 15.7 yd

Next, area of the deck is given by:

Substitute the values:

The answer is 78.5 yd^2

Answer:

Step-by-step explanation:

Given

Amount of tax paid every month:

Answer:

B I think

Step-by-step explanation:

The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Answer:

D

Step-by-step explanation:

Used graphing calculator. Correct on edge.

By transformations, the resultant graph will be option D.

Hence, the resultant graph of

\(f(x) = 2 \sqrt{x } + 1\)will be option D.

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The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300

We are told that;

Mr. Daniels is organizing a class trip.

Mr. Daniels wants to spend less than $300

Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.

Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;

c < 300

Thus, we conclude that it is the required inequality.

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Answer:

WOAH hold up i may be able to help you

Step-by-step explanation:

SAS- side-angle-side

Answer:4, 0p0 to tons

Step-by-step explanation:because

Answer:

28

Step-by-step explanation:

I took the test and It says 28

The limit exists and its value is 5/2522.

To find the limit of the given function as (x,y) approaches (0,0), we can simplify the expression using algebraic manipulation and then substitute the values of x and y with 0. Here, we can use the difference of squares identity to simplify the expression as follows:

\((-2x^2 + 9y^2)(-2x^2 + 9y^2 + 1) - 1 = [(9y^2 - 2x^2)(2x^2 + 1 - 9y^2)] - 1\)

\(= [18x^4 - 81y^4 + 4x^2 - 18x^2y^2 + 2x^2 - 9y^2] - 1\)

\(= 20x^4 - 81y^4 - 18x^2y^2 - 9y^2\)

Now, substituting x = 0 and y = 0 in the expression, we get:

lim (x,y)→(0,0) \([(-2x^2 + 9y^2)(-2x^2 + 9y^2 + 1) - 1]/(-2x^2 + 9y^2)\)

= lim (x,y)→(0,0)\([20x^4 - 81y^4 - 18x^2y^2 - 9y^2]/(-2x^2 + 9y^2)\)

= lim (x,y)→(0,0) \([(2x^2 + 9y^2)(10x^2 - 81y^2 - 9)]/(-2x^2 + 9y^2)\)

Since the denominator approaches 0 as (x,y) approaches (0,0) but the numerator does not approach 0, the limit does not exist. Therefore, the answer is DNE.

To find the limit of the given function as (1,y,z) approaches (0,0,0), we can substitute the given values of x, y, and z in the expression and simplify it.

lim (1,y,z)→(0,0,0) \((3cy + 4y^2 + 5x^2)/(9x^2 + 16y^2 + 2522)\)

\(= (3c0 + 40^2 + 51^2)/(91^2 + 16*0^2 + 2522)\)

= 5/2522

Therefore, the limit exists and its value is 5/2522.

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