True true false true true

Suzanne's salary grew from $40,000 in 2000 to $56,000 in 2021. during the same time period, Mike's salary grew form $38,000 to $53,000. Whose salary grew more in absolute change? In percentage change?

Absolute change (AC) refers to the simple difference in the indicator over two periods. that is

[tex]\begin{gathered} \text{AC (Suzanne)=56000-40000} \\ \text{AC (Suzanne)=16000} \end{gathered}[/tex]and, for Mike:

[tex]\begin{gathered} \text{AC (Mike)=53000-3}8000 \\ \text{AC (Mike)=1}5000 \end{gathered}[/tex]**Whose salary grew more in absolute change? Suzanne's salary.**

The relative change (RC) express the absolute change as a pencentage of the value of the indicator in the earlier period:

[tex]RC=\frac{value\text{ 2nd period - value 1st period}}{\text{value 1st period}}\times100[/tex]For Suzanne, we have

[tex]\begin{gathered} RC(\text{Suzzane)}=\frac{56000-40000}{56000}\cdot100 \\ RC(\text{Suzzane)}=\frac{16000}{56000}\cdot100 \\ RC(\text{Suzzane)}=0.286\cdot100 \\ RC(\text{Suzzane)}=28.6 \end{gathered}[/tex]and for Mike, we have

[tex]\begin{gathered} RC(\text{Mike)}=\frac{53000-28000}{53000}\cdot100 \\ RC(\text{Mike)}=\frac{15000}{53000}\cdot100 \\ RC(\text{Mike)}=0.283\cdot100 \\ RC(\text{Mike)}=28.3 \end{gathered}[/tex]**In percentage change? For Suzanne is 28.6% and for Mike 28.3%**

**Answer: Mike's salary grew from $ 38,000 to $ 53,000.**

**Step-by-step explanation:**

many of these boxes do you need to buy?you need to buy 40 packsExample 2.At a restaurant one day. 60 sandwiches were sold in all, some on rye bread and 28 onwhite bread. The number of sandwiches sold on try bread was twice the number soldthe day before. How many sandwiches on rye bread were sold the day before"?

rye bread sandwiches + white bread sandwiches = total number of sandwiches

rye bread sandwiches + 28 = 60

rye bread sandwiches = 60 - 28

rye bread sandwiches = 32

This number, 32, is twice the day before, that is, the day before was half of 32 sandwiches, which is 32/2 = 16.

**The day before, 16 sandwiches on rye bread were sold.**

jerry had 3409 pieces of marble he swallowed 1290 then is mom brought his 3456 more. How much does jerry have?

Answer: 5575 Marbles

Step-by-step explanation:

This can be solved simply by subtracting and adding.

3409-1290=2119

2119+3456=5575

I need help on what the question is asking. Can you help me solve it step by step?

**Given:**

The total number of tamiliies is *N *= 30.

The objective is to find the mean number of gallons of milk consumed by 30 families.

**Explanation:**

The total number of milk consumed consumed by 30 families can be calculated as,

[tex]\begin{gathered} T=(8\times3)+(9\times2)+(13\times5) \\ =24+18+65 \\ =107 \end{gathered}[/tex]**To find mean:**

The mean number of gallons of milk can be calculated as,

[tex]M=\frac{T}{N}[/tex]On plugging the obtained values in the above equation,

[tex]\begin{gathered} M=\frac{107}{30} \\ =3.56666\ldots\text{.} \\ =3.6 \end{gathered}[/tex]**Hence, the mean number of milk consumed by 30 families is 3.6 gallons.**

WILL MARK BRAINLIEST PLS HELP

**⇒For m=2 and n=-3 in the equation 3m-4n In the place of m plug in 2 and in the place of n plug in -3 and simplify.**

[tex]=3(2)-4(-3)\\=6+12\\=18[/tex]

Option** C is the answer.**

Suppose that the function f is defined, for all real numbers, as follows.

f(x)= {5x-4 if x≤1

-x+4 if x>1

Graph the function f. Then determine whether or not the function is continuous.

**Answer:**

F(x)

**Step-by-step explanation:**

hope it helps

Given the **function **[tex]f(x) = \left \{ {{5x-4, \ \ \ x\leq 1} \atop {-x+4, \ \ \ \ \ x > 1}} \right.[/tex], the **function **is not **continuous **at x = 1.

A **function** is said to be **continuous **if it can be drawn without picking up the pencil. Otherwise, a **function** is said to be **discontinuous.**

Given **function,**

[tex]f(x) = \left \{ {{5x-4, \ \ \ x\leq 1} \atop {-x+4, \ \ \ \ \ x > 1}} \right.[/tex]

We need to check the **continuity** of the** function** f(x) at x = 1. At all other points, it is **continuous**.

f(x) at x = 1 : 5x - 4 = 5*1 - 4 = 5 - 4 = 1

f(x) at x < 1 : 5x - 4 = 5*1 - 4 = 5 - 4 = 1

f(x) at x > 1 : -x + 4 = -1 + 4 = 3

Since, f(x) at x < 1 ≠ f(x) at x > 1, therefore, f(x) is not **continuous **at x = 1.

The same is also visible from the graph attached below. There is a disruption at x = 1, the graph is not a smooth line.

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helppppppppppppp!!!!!!!!!!!!

A. -4F° per hour

24/6 is 4

24/6 is 4

HELP PLSSSSSSSSSSSSS

**Answer:**

the volume of the toy house is 66cm3

Finding a difference quotient for a linear or quadratic function

Answer:[tex]-4x-2h-3[/tex]Explanations:

**Given the function **

We are to look for **the difference quotient:**

**Get f(x + h)**

**Given f(x) **expressed as:

**Substitute both functions into the difference quotient;**

**Factor out "h"** from the result to have

This shows that **the simplified form of the expression is -4x - 2h - 3**

Simplify −3(x+4)+5x Write your answer in factored form

**Answer:-3x - 12 + 5x**

**Step-by-step explanation:**

A pizza shop specializes in deep-dish pizzas. They sell a 14 -inch pizza that is 3 inches deep and a 16-inch pizza that is 2 inches deep. The 14 -inch pizza is cut into 8 slices and the 16-inch pizza is cut into 7 slices, and each slice is sold for the same price. If you are purchasing one slice of pizza, which size should you choose to get the most food? Show all of your work to justify your response.

**Answer:**

The 14-inch pizza cut into 8 slices.

**Explanation:**

The deep-dish pizza forms a cylindrical shape.

To make comparisons, we find the volume of each slice of pizza in each case.

[tex]\text{Volume of a cylinder=}\pi r^2h[/tex]Case 1

A 14-inch pizza that is 3 inches deep.

Radius = 14/2 = 7 inches

Height = 3 inches

[tex]\begin{gathered} \text{The volume of the full pizza}=\pi\times7^2\times3 \\ =147\pi\text{ cubic inches} \end{gathered}[/tex]Since it is cut into 8 slices:

[tex]\begin{gathered} \text{The volume of one slice=}\frac{147\pi}{8} \\ =18.375\pi\text{ cubic inches} \end{gathered}[/tex]Case 2

A 16-inch pizza that is 2 inches deep.

Radius = 16/2 = 8 inches

Height = 2 inches

[tex]\begin{gathered} \text{The volume of the full pizza}=\pi\times8^2\times2 \\ =128\pi\text{ cubic inches} \end{gathered}[/tex]Since it is cut into 7 slices:

[tex]\begin{gathered} \text{The volume of one slice=}\frac{128\pi}{7} \\ \approx18.285\pi\text{ cubic inches} \end{gathered}[/tex]Conclusion

The volume of a slice of pizza in the first case (the 14 -inch pizza cut into 8 slices) is larger, therefore it should be chosen to get the most food.

NEED HELP ASAP‼️‼️‼️‼️‼️‼️‼️‼️‼️

simplify 3xy³ + x²y⁵ over xy²

PLEASE SEND QUICK DUE IN 10-15 MINUTES ‼️‼️‼️

**Answer:**

[tex]4xy^3[/tex]

**Step-by-step explanation:**

3xy^3 + x^2y^5/xy^2

a survey was given to people who owned a certain type of car.what percent of the people surveyed were completely satisfied with the car.blue:compleletely satisfiedpurple: somewhat satisfiedgreen:not satisfied

The percent of people that were completely satisfied (%PS) can be calculated with the formula:

[tex]\text{ \%PS=}\frac{PS}{TP}\times100\text{\%}[/tex]Where PS is the number of persons that were completely satisfied and TP is the total number of persons, in this case, the total number of persons is the sum of each number of persons from each category:

[tex]TP=160+740+1100=2000[/tex]And as we can see from the figure, the number of completely satisfied people is 1100, then the percent of people that were completely satisfied is:

[tex]\begin{gathered} \text{\%PS=}\frac{PS}{TP}\times100\text{\%} \\ \text{\%PS=}\frac{100}{2000}\times100\text{\%} \\ \text{\%PS=}0.55\times100\text{\%}=55\text{\%} \end{gathered}[/tex]The percent of people that were completely satisfied is **55%**

**You just have to divide 1100 by the total people which is 2000, and then just multiply by 100, and that's it**

on the unit circle., in standard position an angle of which measure is coterminal with an angle that measures 3pi/5 radians

Coterminal angles are angles with the same terminal sides.

[tex]\theta\rightarrow\theta+2\pi\rightarrow\theta-2\pi[/tex]For the given angle, the coterminal angles are;

[tex]\begin{gathered} \theta=\frac{3\pi}{5} \\ \theta+2\pi=\frac{3\pi}{5}+2\pi=\frac{3\pi}{5}+\frac{10\pi}{5}=\frac{13\pi}{5} \\ \theta-2\pi=\frac{3\pi}{5}-2\pi=\frac{3\pi}{5}-\frac{10\pi}{5}=-\frac{7\pi}{5} \\ \theta+2(2\pi)=\frac{3\pi}{5}+4\pi=\frac{3\pi}{5}+\frac{20\pi}{5}=\frac{23\pi}{5} \end{gathered}[/tex]From the given answer choices, **the coterminal angle is;**

I need help with this question please?

[tex]t=100 \left(1-\frac{V}{50} \right)^2\\\\\frac{t}{100}=\left(1-\frac{V}{50} \right)^2[/tex]

Since time is positive, we take the positive square root.

[tex]\frac{\sqrt{t}}{10}=1-\frac{V}{50}\\\\\frac{\sqrt{t}}{10}-1=-\frac{V}{50}\\\\50-5\sqrt{t}=V\\\\\therefore f^{-1}(V)=\boxed{50-5\sqrt{V}}[/tex]

Social Security is 6.2% of the first $97,500. Medicare is 1.45% of all income.

The state tax is 2% of gross pay, and the local tax is 1.5% of gross pay.

7.) Orville Staples is a painter who earns $30,000.00 a year. He is single and claims 3 allowances. Weekly deductions include $34.50 for medical insurance and union dues of $15.00.

Please calculate Federal Income Tax, Social Security Tax, Medicare Tax, State Tax & Local tax. Please show work.

The **deductions **for the taxes are given as follows:

To calculate the taxes, we have to consider his** gross pay**, which is given in the text as follows:

Gross pay = $30,000.

The** Federal Income** Tax for people in his income range is of $1,027.50 plus 12% of the amount over $10,275, hence:

Federal Income Tax = 1027.50 + 0.12 x (30000 - 10.275) = $4,626.27.

The **Social Security** tax is of 6.2% of his salary, hence:

Social Security Tax = 0.062 x 30000 = $1,860.

The **Medicare **tax is of 1.45% of his salary, hence:

Medicare Tax = 0.0145 x 30000 = $435.

The **State Tax **is of 2% os his salary, hence:

State Tax = 0.02 x 30000 = $600.

The **Local Tax** is of 1.5% of his salary, hence:

Local Tax = 0.015 x 30000 = $450.

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URGENT Please help!!!!!!

Divide 6.1 x 1020 by 3.2 x 105. Express your answer in scientific notation.

The **value **of the **division **of the **expression **will be; 19.52 x 10^{25}.

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most **important **figure for which scientific **notation **is used. It tells us how much order large or small a value is in **powers **of 10.

**Scientific notations **have some of the profits; Better **readability **due to compact representation that value in terms of **power **of 10 is known, which helps in easy comparison of **quantities **differing by a large value.

Given the **expression **as 6.1 x [tex]10^{20}[/tex] by 3.2 x 10⁵

We have to **divide **the expression

( 6.1 x [tex]10^{20}[/tex] ) / (3.2 x 10⁵)

= 19.52 x [tex]10^{20 + 5}[/tex]

= 19.52 x [tex]10^{25}[/tex]

Therefore, the **value **of the **division **of the **expression **will be; 19.52 x [tex]10^{25}[/tex].

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Solve each problem below by writing an equation that matches the situation. Then solbe your equation to find the solution to the problem. (It's been almost a day and these two questions baffled me.)

Step 1:

Let the number of hours = m

Flat fee = $25

Fees charge per hour = $30

Step 2:

Money Ronnie made from his first customer = $175

Write an equation.

30m + 25 = 175

Step 3:

Solve the equation.

[tex]\begin{gathered} 30m\text{ + 25 = 175} \\ 30m\text{ = 175 - 25} \\ 30m\text{ = 150} \\ \text{Divide through by 30} \\ m\text{ = }\frac{150}{30} \\ \text{m = 5 hours} \end{gathered}[/tex]Final answer

**5 hours**

A pizza is taken out of an oven and placed on a counter. The temperature, T, in degrees Fahrenheit, of the pizza after m minutes is modeled by the function Which graph represents the model?

The **graph **of the **exponential function** that represents the temperature of the pizza after m minutes is given at the end of the answer.

The **model **that represents the temperature of the pizza m minutes after it is taken out of the oven and placed on the counter is given by:

[tex]T(m) = 72 + 200e^{-0.0445m}[/tex]

The number e is the Euler number, and the function is the exponential function translated 72 units up, hence the **minimum **value that the pizza obtains is of 72 degrees Fahrenheit.

Due to the negative exponent, the **temperature **is decaying over time, but it never gets less than 72 ºF.

The time cannot be negative, hence the **domain **of the graph is given as follows:

m ≥ 0.

Then, considering this, the **graph **of the function is given at the end of the answer.

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**Answer:**

**Step-by-step explanation:**

a

Instructions: For the following sequence, state the common ratio, identify which is the explicit form and which is the recursive form of the rule.

Given that the series is 1, 3, 9, 27, ............

The common ratio will be

[tex]Common\text{ ratio=}\frac{2nd\text{ term}}{1st\text{ term}}=\frac{3}{1}=3[/tex]**So the common ratio is 3.**

**The explicit formula uses starting term and the recursive formula uses the previous term.**

**As**

**These are the required forms.**

How do I write this in function notation part b

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

Total rice bought is 75kg

Each week, he used 4.5kg, this means in w weeks, he will use:

[tex]4.5\times w=4.5w[/tex]**STEP 2: Get the remaining kilograms of rice after w weeks**

**This will be gotten by using the function below:**

**Hence, the function will be gotten as:**

mr. Smith took out a 54200 car loan at 10.2% compounded annually what would the interest be after 4 years

The compounded loan means that in the first year the 10.2% of interest is add to the initial 54200 and that value generate the next year the 10.2%

then in the **first year** the interest will be:

You use a rule of three:

[tex]\text{1st}=\frac{54200\cdot10.2}{100}=5528.4[/tex]As the **first year the interest is 5528.4**

To the **second year** that sum is added to the 54200 to get the interest:

**Third year:**

**Fourth year:**

**After 4 years:**

Question 7Simplity 663x - 5) + (2x - 1). Show each step on a separate line and tell what you did in that step. Write your answer in factored form.

The expression is given as

[tex]6(3x-5)+5(2x-1)[/tex]**STEP 1**

Expand the first parenthesis by multiplying all the terms there by 6.

[tex]18x-30+5(2x-1)[/tex]**STEP 2**

Expand the second parenthesis by multiplying all the terms there by 5.

[tex]18x-30+10x-5[/tex]**STEP 3**

Collect the like terms.

[tex]18x+10x-30-5[/tex]**STEP 4**

Perform the arithmetic operations (addition and subtraction) to get the final answer.

[tex]28x-35[/tex]The final answer is **28x - 35**

A basketball player scores 14, 16, 20, 5, 22, 30, 16, and 28 points during a

tournament. Make a box-and-whisker plot for the points scored by the player.

The diagram attached shows the **box-and-whisker plot** for the points scored by the player.

A **box-and-whisker plot** displays the maximum and minimum data values, the upper and lower quartiles, and the median of the data. They are called the **five-number summary**.

Given the data for the number of points scored by a basketball player is: 14, 16, 20, 5, 22, 30, 16, and 28, the **five-number summary **for the data would therefore be:

The **box-and-whisker plot** is shown below.

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what is 42/100 of x over 35?

The value of x in 42/100 of x over 35 based on the **computation** is 14.7.

It should be noted that a **fraction** simply means a number that's not a **whole number.**

Based on the information, we want to **calculate** 42/100 × x/35. This will be illustrated thus:

= 42/100 × x/35.

Cross **multiply**

(100 × x) = (42 × 35)

100x = 1470

**Divide** through by 100

100x / 100 = 1470 / 100

x = 14.7

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How many ounces of yogurt does the carton hold? (Hint: 1 ounce equals 1.805 in.³) round to the nearest tenth as needed

Answer:

The carton holds 8.9 ounces of yoghurt

Explanation:The upper diameter, D = 2 in

R = D/2

R = 2/2

The upper radius, R = 1 inch

[tex]\begin{gathered} \text{The lower diameter, d= 2}\frac{7}{16}\text{ in = }2.4375 \\ \text{The lower radius, r = }\frac{d}{2}=\text{ }\frac{2.4375}{2}in\text{ = }1.22\text{ in} \end{gathered}[/tex]The height, h = 3 in

The volume of the cone frustrum is:

[tex]\begin{gathered} V=\frac{1}{3}\pi h(R^2+r^2+Rr) \\ V=\frac{1}{3}\times3.142\times3(1^2+1.22^2_{}+1.22(1)) \\ V=3.142(3.7084)) \\ V=11.65in^3 \end{gathered}[/tex]1.805 in.³ = 1 ounce

11.65in.³ = 11.65/1.805 ounce

11.65in.³ = 6.5 ounces

The carton holds 6.5 ounces of yoghurt

A client of Susan's has asked her to create a new wood floor for his living room. The design will be created by laying wood strips in different directions, as shown on the coordinate grid. Determine whether Quadrilateral can best be described as a trapezoid, a rhombus, a rectangle, or a square. Explain your reasoning.

**Answer: Where's the graph**

**Step-by-step explanation:**

what is the result of processing the set of numbers in a domain called

**Answer:**

the output

**Step-by-step explanation:**

output

13) y = 4x - 3 -8x + 6y = 14

[tex]\begin{gathered} y=4x-3 \\ -8x+6y=14 \end{gathered}[/tex]

Replacing y in the second equation

[tex]\begin{gathered} -8x+6(4x-3)=14_{} \\ -8x+24x-18=14 \\ 16x=14+18 \\ 16x=32 \\ x=\frac{32}{16} \\ x=2 \end{gathered}[/tex]Then

[tex]\begin{gathered} y=4(2)-3 \\ y=8-3 \\ y=5 \end{gathered}[/tex]Just checking our answer

[tex]-8(2)+6(5)=-16+30=14[/tex]So the correct answer is x=2 and y=5

if h(x, y) moves 12 units to the left and 4 units up. what is the rule that describes this translation .

Answer:

(x,y) -> (x-12, y+4)

Step-by-step explanation:

(x,y) -> (x-12, y+4)

What is likely to be the major industry on Earth in 2100 if the worst sea level rise scenario materializes? Does it make sense to build an economy in this manner? Does this represent innovation of new products and services designed to enhance the human experience, or will we just be scrambling to save our lives?
In 2Use the formula t=kthat gives the time for a population, with a growth rate k, to double, to answer the following que0.0031The growth model A = 6 e describes the population, A, of a country in millions, t years after 2003.a. What is the country's growth rate?
Language Arts: Which sentence has one independent clause and no dependent clauses?A. Before leaving for school, make sure you have everything you need.B. Will, Doug, and Peter are my brothers.C. Yesterday afternoon, we won our softball game.D. When you finish typing your report, proofread your work and look over your spelling.
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Estimate daily energy needs for an active 60 kg man to gain weight and a 70 kg sedentary woman to lose weight
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Explain how electron microscopy has increased understanding of subcellular structures.[2]
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(3+5),2y=(5x8)-(2x4)