Hi! I am having trouble with A assignment called "TIME TO SHOP!" I just need answers.

Answers

Answer 1

The total item price is $265.50 while the total price with sales tax inclusive is $282.76

Here, we want to determine the sales price of each of the individual items, the total price of all and the appropriate sales tax

To get the price of each, we find the discount off the price of each

Mathematically, that would be;

[tex]\text{Price - (discount percentage }\times\text{ price)}[/tex]

We follow through each of the chosen items as follows

1) Blu-Ray player

[tex]\begin{gathered} 42-(12\text{ percent of 42)} \\ =\text{ 42-(}\frac{12}{100}\text{ }\times\text{ 42)} \\ =\text{ 42- 5.04 = \$36.96} \end{gathered}[/tex]

2) Jeans

[tex]\begin{gathered} 18.50-(20\text{ percent of 18.50)} \\ =\text{ 18.5 - }(\frac{20}{100}\times18.50) \\ =\text{ \$14.80} \end{gathered}[/tex]

3) Set of Books

[tex]\begin{gathered} 15-(15\text{ percent of 15)} \\ =\text{ 15-(}\frac{15}{100}\times15) \\ =\text{ \$12.75} \end{gathered}[/tex]

4) Sneakers

[tex]\begin{gathered} 39.5-(32\text{ percent of 39.5)} \\ =\text{ 39.5 - (}\frac{32}{100}\text{ }\times\text{ 39.5)} \\ \\ =\text{ \$26.86} \end{gathered}[/tex]

5) Cell Phone

[tex]\begin{gathered} 199-(12.5\text{ percent of 199)} \\ 199-(\frac{12.5}{100}\times\text{ 199)} \\ =\text{ \$174.125} \end{gathered}[/tex]

Now, we proceed to get the total of all the items

This is simply obtainable by adding up all the calculated prices

Mathematically, that would be;

174.125 + 26.86 + 12.75 + 14.8 + 36.96 = 265.495

This is a total of $265.50

Now, we want to calculate the total price with the value of the sales tax inclusive

Mathematically, that would be;

[tex]\begin{gathered} \text{Total price + (sales tax percentage of Total price)} \\ =\text{ 265.50 + (}\frac{6.5}{100}\text{ }\times\text{ 265.5)} \\ \\ =\text{ 282.7575 } \\ =\text{ \$282.76} \end{gathered}[/tex]

Related Questions

Help me please just plot the points on the graph

Answers

As per given by the question,

There are given that the equation,

[tex]y=4x-2[/tex]

Now,

For plot the point on the grpah;

Put the value of x is 0 in the given equation and find the value of y,

So,

[tex]\begin{gathered} y=4x-2 \\ y=4(0)-2 \\ y=-2 \end{gathered}[/tex]

And,

Put the value of y is 0 in the given equation to find the value of x,

So;

[tex]\begin{gathered} y=4x-2 \\ 0=4x-2 \\ 4x=2 \\ x=\frac{2}{4} \\ x=0.5 \end{gathered}[/tex]

The point on the graph is,

[tex](0,\text{ -2) and (0.5, 0)}[/tex]

Hence, the grpah of the given equation is;

For questions 5-6, g(x) is a transformation of f(x) = x2. What is the function g(x) that is represented by the graph? QUESTION 5

Answers

The transformation in question 5 shows a shift to the left by 3 units.

A shift to the left by b units has the rule:

[tex]f(x)\to f(x+b)[/tex]

Therefore, the shift to the left by 3 units will yield the function:

[tex]x^2\to(x+3)^2[/tex]

Hence, the function g(x) will be:

[tex]g(x)=(x+3)^2[/tex]

Tell whether each set of measures for a triangle determines more than one triangle or notriangle.10. 5 cm , 10 cm, 2 cm11. 60°, 60°, 60°12. 7 cm, 7 cm, 15 cm

Answers

A triangle is valid if sum of its two sides is greather than the third side. If three sides are a, b and c, then three conditions should be met.

10. 5cm, 10cm, 2cm

[tex]\begin{gathered} 5+10>2 \\ 15>2\text{ -> False} \end{gathered}[/tex]

This cannot be a triangle.

11. Since it has all its angles equals, that means it is a equilateral triangle.

12. 7cm, 7cm, and 15cm

[tex]\begin{gathered} 7+7>15 \\ 14>15\text{ -> False} \end{gathered}[/tex]

It cannot be a triangle.

Subtract and simplify: (6 + 10i) – (11 + 7i)

Answers

Given:

an expression is given as (6 + 10i) - (11 + 7i)

Find:

we have to subtract and simplify the expression.

Explanation:

(6 + 10i) - (11 + 7i) = 6 + 10i - 11 -7i = (6 - 11) + ( 10i - 7i) = -5 + 3i

Therefore, (6 + 10i) - (11 + 7i) = -5 + 3i

Ramesh leaves 2/3 of his property for his wife and 1/4 for his son and remaining for his daughter what part does his daughter receive Help me fast

Answers

You need to give them the same denominator so that would be 12.

3×4 = 12
2x4 = 8

4x3= 12
1x4=4

So that would be 8/12 and 4/12
Then you would add the numerator so 8+4 = 12

so the mother and the son together get 12/12 of his property which is everything. So the daughter gets nothing.

Drag each expression to the correct location on the model. Not all expressions will be used.552 + 25r + 2071

Answers

Given

[tex]\frac{5x^2+25x+20}{7x}[/tex]

To find: The equivalent rational expression.

Explanation:

It is given that,

[tex]\frac{5x^2+25x+20}{7x}[/tex]

That implies,

[tex]\frac{5x^2+25x+20}{7x}[/tex]

Simplify the expression below. Share all work/thinking/calculations to earn full credit. You may want to do the work on paper and then upload an image of your written work rather than try and type your work. \sqrt[4]{ \frac{162x^6}{16x^4} }

Answers

[tex]\frac{3x^{\frac{1}{2}}\times\sqrt[4]{2}\text{ }}{2}[/tex]

Explanation:

[tex]\sqrt[4]{\frac{162x^6}{16x^4}}[/tex][tex]\begin{gathered} \sqrt[4]{\frac{162x^6}{16x^4}}\text{ = }\frac{\sqrt[4]{162x^6}}{\sqrt[4]{16x^4}} \\ 16x^4=2^4x^4=(2x)^4 \\ \frac{\sqrt[4]{162x^6}}{\sqrt[4]{16x^4}}\text{ = }\frac{\sqrt[4]{162x^6}}{\sqrt[4]{(2x)^4}} \end{gathered}[/tex][tex]\begin{gathered} \sqrt[4]{(2x)^4}\text{ = 2x} \\ \sqrt[4]{162x^6}\text{ = (}162x^6)^{\frac{1}{4}} \\ 162\text{ = 2 }\times\text{ 81 = 2 }\times3^4 \\ x^6=x^4\text{ }\times x^2 \end{gathered}[/tex][tex]\begin{gathered} \frac{\sqrt[4]{162x^6}}{\sqrt[4]{(2x)^4}}=\text{ }\frac{\sqrt[4]{2\times3^4\times x^4\times x^2}}{2x} \\ =\text{ }\frac{3\times x\times\sqrt[4]{2\times x^2}}{2x} \\ =\text{ }\frac{3x\times\sqrt[4]{2\times x^2}}{2x} \end{gathered}[/tex][tex]\begin{gathered} \frac{3\times\sqrt[4]{2x^2}}{2}\text{ = }\frac{3\times\sqrt[4]{2}\text{ }\times\sqrt[4]{x^2}}{2} \\ \sqrt[4]{x^2}\text{ = (}x^2)^{\frac{1}{4}}\text{ = }x^{\frac{2}{4}}\text{ = }x^{\frac{1}{2}} \\ \frac{3\times\sqrt[4]{2}\text{ }\times\sqrt[4]{x^2}}{2}\text{=}\frac{3x^{\frac{1}{2}}\times\sqrt[4]{2}\text{ }}{2} \\ \\ \frac{3\times\sqrt[4]{2x^2}}{2}\text{ or }\frac{3x^{\frac{1}{2}}\times\sqrt[4]{2}\text{ }}{2} \end{gathered}[/tex]

An online store started its business with 15 sales per week. If their sales increased 18% each week, use an exponential model to find the week in which they exceeded 1000 sales per week. Remember, A= P(1+r)^t26 weeks31 weeks38 weeks15 weeks

Answers

Given,

The initial sale is 15.

The rate of increase of sale per week is 18 %.

The final sale is 1000.

The week at which the sales exceeds 1000 is:

[tex]\begin{gathered} 1000=15\times(1+\frac{18}{100})^t \\ \frac{1000}{15}=(\frac{118}{100})^t \\ \frac{200}{3}=(1.18)^t \\ log\text{ \lparen}\frac{200}{3})=t\text{ log\lparen1.18\rparen} \\ t=25.37 \end{gathered}[/tex]

The sales of the business reach to 1000 in 25th week.

Hence, the sales of the business exceed to 1000 in 26th week.

Complete the grouped relative frequency distribution for the data. (Note that we are using a class width of 4.)Write each relative frequency as a decimal rounded to the nearest hundredth, not as a percentage.Relativefrequency Temperature 109 112 110 94 102 106 104 94 108 105 103 107 105 101 93103 99Relative Frequency 93 to 9697 to100101 to 104105 to 108109 to 112

Answers

[tex]93,94,94,99,101,102,103,103,104,105,105,106,107,108,109,110,112[/tex]

Above you have the given 17 data ordered from least to greatest.

To find the relative frequency:

1. Frequency: Identify the number of data that goes in each temperature range:

93 to 96: 3 data (93,94,94)

97 to 100: 1 data (99)

101 to 104: 5 data (101, 102, 103, 103, 104)

105 to 108: 5 data (105, 105, 106, 107, 108)

109 to 112: 3 data (109, 110, 112)

2. Relative frequency: Find the ratio of the number of data you get in step 1 (Frecuency) to the total number of data (17):

93 to 96:

[tex]\frac{3}{17}\approx0.18[/tex]

97 to 100:

[tex]\frac{1}{17}\approx0.06[/tex]

101 to 104:

[tex]\frac{5}{17}\approx0.29[/tex]

105 to 108

[tex]\frac{5}{17}\approx0.29[/tex]

109 to 112

[tex]\frac{3}{17}\approx0.18[/tex]

Then, the relative frequencies are:

93 to 96: 0.18

97 to 100: 0.06

101 to 104: 0.29

105 to 108: 0.29

109 to 112: 0.18

Answer: the other person is correct

Step-by-step explanation:

You have a $250 gift card to use at a sporting goods store. a) Write an inequality that represents the possible numbers x of pairs of socks you can buy when you buy 2 pairs of sneakers. PRIO *12 SALE PRICE $80 b) Can you buy 8 pairs of socks? Explain.

Answers

Sale price 12

number of socks =X

Sneakers sprice 80

Amount disposable 250

Then

Part a)

250 - 2•80 = 12X

250 - 160 = 12X

90 ≥ 12 X

Part b)Can buy 8 pairs?

Answer NO , because 90 < 12•8

-5 > 5 + x/3 I am so confused on these things

Answers

Let's solve the inequality:

[tex]\begin{gathered} -5>5+\frac{x}{3} \\ -5-5>\frac{x}{3} \\ -10>\frac{x}{3} \\ -10\cdot3>x \\ -30>x \\ x<-30 \end{gathered}[/tex]

Therefore the solution for the inequality is:

[tex]x<-30[/tex]

In interval form this solution is written as:

[tex](-\infty,-30)[/tex]

This means that x has to be less than -30 for the inequality to be true.

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 18 people took the trip. She was able to purchase coach tickets for $170 and first class tickets for $1010. She used her total budget for airfare for the trip, which was $10620. How many first class tickets did she buy? How many coach tickets did she buy:

Answers

Explanation

Let the number of people with coach tickets be x and the number of people with first class tickets be y. Since the trip goers contained a total of 18 people we will have;

[tex]x+y=18[/tex]

A coach ticket cost $170 dollars and the first class tickets cost $1010. Also, Sarah spent a total of $10620 to buy the tickets. This would give us;

[tex]170x+1010y=10620[/tex]

We will now solve the equation simultaneously.

[tex]\begin{gathered} \begin{bmatrix}x+y=18\\ 170x+1010y=10620\end{bmatrix} \\ isolate\text{ for x in equation 1}\Rightarrow x=18-y \\ \mathrm{Substitute\:}x=18-y\text{ in equation 2} \\ 170\left(18-y\right)+1010y=10620 \\ 3060+840y=10620 \\ 840y=10620-3060 \\ 840y=7560 \\ y=\frac{7560}{840} \\ y=9 \\ \end{gathered}[/tex]

We will substiuite y =9 in x=18-y. Therefore;

[tex]\begin{gathered} x=18-9=9 \\ x=9 \end{gathered}[/tex]

Answer: From the above, Sarah bought 9 coach tickets and 9 first-class tickets.

find all other zeros of p (x)= x^3-x^2+8x+10, given that 1+3i is a zero. ( if there is more than one zero, separate them with commas.)edit: if possible please double check answers would high appreciate it.

Answers

Since we have that 1 + 3i is one zero of p(x), then we have that its conjugate is also a root, then, we have the following complex roots for p(x):

[tex]\begin{gathered} x=1-3i \\ x=1+3i \end{gathered}[/tex]

also, notice that if we evaluate -1 on p(x), we get:

[tex]\begin{gathered} p(-1)=(-1)^3-(-1)^2+8(-1)+10=-1-1-8+10 \\ =-10+10=0 \end{gathered}[/tex]

therefore, the zeros of p(x) are:

x = 1-3i

x = 1+3i

x = -1

Which point on the number line below best represents V30?

Answers

We should try different squared numbers that are bigger and smaller than 30 as:

[tex]\begin{gathered} \sqrt{16}=4 \\ \sqrt{25}=5 \\ \sqrt{36}=6 \end{gathered}[/tex]

Since 30 is between 25 and 36, the square root of 30 is going to be between 5 and 6. So the point that best represents the square root of 30 is M.

Answer: Point M

how do I solve this linear equations by substitution x=5 x + y = 4

Answers

Substitute 5 for x in the equation x+y=4 to obtain the value of y.

[tex]\begin{gathered} 5+y=4 \\ y=4-5 \\ =-1 \end{gathered}[/tex]

So solution of the equations is (5,-1).

1Select the correct answer.Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0?A.y=4/5x+5/4B.y=5/4xC.y=4/5D.x=5/4

Answers

The slope os the value that accompanies the dependent term.

Therefore, A and B, they are wrong.

If it is parallel to the x-axis and perpendicular to the y-axis, it must have the following form:

[tex]y=c[/tex]

Therefore, the answer correct is C. y = 4/5

MATH HELP WILL MARK BRAINLEST

Answers

The objective function ( S for score ) in the given linear programming problem is S = 3x + 5y , the correct option is (a) .

In the question ,

it is given that ,

number of points that a multiple choice question gives = 3 points

number of points that a short answer gives gives = 5 points ,

let the number of multiple choice questions be = x

let the number of short answer questions be = y ,

the final score is denoted by S ,

So , the function , to represent the above situation is ,

S = 3x + 5y

Therefore , The objective function ( S for score ) in the given linear programming problem is S = 3x + 5y , the correct option is (a) .

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-3х – 10у = -20 -5x — бу = 20

Answers

You can solve a system of equations by graphing

The solution of a system of linear equations is the intersection point both graphs

using a graphing tool

the solution is the point (-10,5)

x=-10

y=5

the solution is the intersection point both lines

I will solve the system by substitution

we have

-3х – 10у = -20 --------> equation A

-5x — бу = 20 --------> equation B

isolate the variable y in the equation A

10y=-3x+20

y=-0.3x+2 --------> equation C

substitute equation C in equation B

-5x-6(-0.3x+2)=20

solve for x

-5x+1.8x-12=20

-3.2x=20+12

-3.2x=32

x=-10

substitute the value of x in the equation C

y=-0.3x+2

y=-0.3(-10)+2

y=3+2

y=5

the solution is x=-10 and y=5

Toy It Examine the worked problem and solve the equation. 4 4 1 (x) 1 = 9 3 3 1 1 + 3 3 4 3 :9+ 3 3 28 The solution is x=

Answers

Given:

[tex]\frac{4}{3}(x)-\frac{1}{3}=9[/tex]

Let's evaluate and solve for x.

First step:

Add 1/3 to both sides of the equation

[tex]\begin{gathered} \frac{4}{3}(x)-\frac{1}{3}+\frac{1}{3}=9+\frac{1}{3} \\ \\ \frac{4}{3}(x)=\frac{28}{3} \end{gathered}[/tex]

Cross multiply:

[tex]\begin{gathered} 4x(3)\text{ = 28(3)} \\ \\ 12x\text{ = }84 \end{gathered}[/tex]

Divide both sides by 12:

[tex]\begin{gathered} \frac{12x}{12}=\frac{84}{12} \\ \\ x=7 \end{gathered}[/tex]

ANSWER:

x = 7

In the function rule for simple interest A(t)=P(1+rt), is P a variable? Explain.

Answers

P is a variable in the function rule for simple interest A(t)=P(1+rt).

What is a variable?

Mathematically, a variable is any number, vector, matrix, function, argument of a function, set, or element of a set.

A variable assumes any possible values in a mathematical expression, problem, or experiment.

A simple interest function showing the amount after some periods is given as A(t)=P(1+rt). In this function, P represents a variable (the principal amount) because it can change depending on the amount invested or borrowed.

Thus, P is a variable in the simple interest function because it can assume any value.

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Answer:

when buying a house

Step-by-step explanation:

complete the Pattern 444 4440 44,400 there are three empty lines I need to finish the pattern

Answers

Given:

d. 444 4,440 44,400

e. 9.5 950 9500

The pattern for d as you can see all numbers have 444 but they keep adding extra 0's to each number.

So the next number should have another extra 0 after 44400.

The pattern for all parts a to e seem to be multiplying each number by 10 or dividing by 10 that is why for d. 444 has no 0's but then if you multiply by 10 you get 4440.

If you do 4440*10 you get 44400.

Answer:

The same pattern applies to e.

For the first blank divide 9.5 by 10 so then 9.5 ÷ 10 = 0.95

For the 2nd blank. Multiply by 10 to 95,000 so you get 950,000. Notice how 950,000 has an extra 0.

3rd blank should be 9500000

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

Equations that have the roots of x = 2 and x = -2 are:

(A) x² - 4 = 0(D) 4x² = 16

What exactly are equations?In mathematical formulas, the equals sign is used to indicate that two expressions are equal. A mathematical statement that uses the word "equal to" between two expressions with the same value is called an equation. Like 3x + 5 = 15, for instance. Equations come in a wide variety of forms, including linear, quadratic, cubic, and others. Point-slope, standard, and slope-intercept equations are the three main types of linear equations.

So, equations true for x = 2 and x = -2 are:

Roots of x = -2:

x² = 4x² - 4 = 0

Roots of x = 2:

x² = 4

Now, multiply 4 on both sides as follows:

4x² = 16

Therefore, equations that have the roots of x = 2 and x = -2 are:

(A) x² - 4 = 0(D) 4x² = 16

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Correct question:

Which equations are true for x = –2 and x = 2? Select two options

A. x2 – 4 = 0

B. x2 = –4 3

C. x2 + 12 = 0

D. 4x2 = 16

E. 2(x – 2)2 = 0

how to write the indicated expression for[tex] \frac{1}{2} m \: inches \: in \: feet[/tex]

Answers

Answer:

Rewriting the given expression in feet gives:

[tex]\frac{1}{24}m\text{ feet}[/tex]

Explanation:

We want to write the expression below in feet.

[tex]\frac{1}{2}m\text{ inches in f}eet[/tex]

Recall that;

[tex]\begin{gathered} 1\text{ foot = 12 inches} \\ 1\text{ inch = }\frac{1}{12}foot \end{gathered}[/tex]

so, converting the expression to feet we have;

[tex]\begin{gathered} \frac{1}{2}m\text{ inches =}\frac{1}{2}m\times\frac{1}{12}feet \\ =\frac{1}{2}\times\frac{1}{12}\times m\text{ f}eet \\ =\frac{1}{24}m\text{ f}eet \end{gathered}[/tex]

Therefore, rewriting the given expression in feet we have;

[tex]\frac{1}{24}m\text{ feet}[/tex]

a) graph the following transformation b) draw asymptotec) set domain and range

Answers

Given the function :

[tex]f(x)=\log _5x+2[/tex]

The graph of the function will be as shown in the following picture

The function will have a vertical asymptote which is the line : x = 0

As shown in the figure :

Domain = ( 0 , ∞ )

Range = ( -∞ , ∞ ) or all real numbers

fing the probability of .14 .73 .03 is

Answers

The probabilities are:

*0.14 -> 14%.

*0.73 -> 73%.

*0.03 -> 3%.

The English Channel is the waterway between England and France. It is about 21 kilometers across, and many people have successfully swam across it. In the United States, many pools at gyms are 25 yards long, and 1 lap equals the pool length.Assuming a person swims in a straight line, how can you calculate the number of complete laps a person must swim in a 25-yard pool to equal swimming across the English Channel?A) First, convert the distance across the channel to approximately 13 miles. Next, convert the distance in miles to 22,880 feet. Then, convert the pool length to 75 feet. Finally, multiply the distance by 1 lap 75 ft. to get about 305 laps.B) First, convert the distance across the channel to approximately 34 miles. Next, convert the distance in miles to 179,520 feet. Then, convert the distance in feet to 59,840 yards. Finally, multiply the distance by 1 lap 25 yd. to get about 2,394 laps.C) First, convert the distance across the channel to approximately 34 miles. Next, convert the distance in miles to 59,840 feet. Then, convert the pool length to 75 feet. Finally, multiply the distance by 1 lap 75 ft. to get about 798 lapsD) First, convert the distance across the channel to approximately 13 miles. Next, convert the distance in miles to 68,640 feet. Then, convert the distance in feet to 22,880 yards. Finally, multiply the distance by 1 lap 25 yd. to get about 915 laps.

Answers

The first step to find the correct answer indeed is to convert the distance across the channel from kilometers to miles.

Because 1 km is equal to approximately 0.62 miles, 21 kilometers will be just 21 times the 0.62 miles. From this, we are able to calculate the following:

[tex]\begin{gathered} 25\operatorname{km}=25\times0.62mi \\ 25\operatorname{km}\text{ }\cong13mi \end{gathered}[/tex]

From this, we are able to say that the correct answer is not B or C.

Now, because 1 mi is equal to 5,280 ft, we can say that 13 mi is equal to 13 times 5,280 ft. From this, we calculate:

[tex]\begin{gathered} 13mi=13\times5,280ft \\ 13mi=68,640ft \end{gathered}[/tex]

From this, we are able to say that the correct answer is not A also. To convert it to yards, we need to remember that 1 foot is equal to (1/3) yards, which means that 68,640 ft is equal to 68,640 times (1/3) yards. Calculating, we get the following:

[tex]\begin{gathered} 68,640ft=68,640\times\frac{1}{3}yd \\ 68,640ft=22,880yd \end{gathered}[/tex]

Because the lap in the pool is 25 yd, we need to DIVIDE, not to multiply, the distance of the channel in yards we found by the distance of the pool, which is 25 yd.

From this, we get the following answer:

[tex]N_{of\text{ laps}}=\frac{22,880yd}{25\frac{yd}{lap}}=915.2\text{ laps}[/tex]

From this, we know that the number of laps a person who wants to swim the same distance of the channel mentioned is equal to approximately 915 laps

And the final answer is D.

9+7d=16 how do i slove it

Answers

9 + 7d = 16

________________

Can you see the updates?

___________________

9 + 7 d = 16

1. we subtract 9 from the two sides

9 - 9 + 7 d = 16 -9

0 + 7 d = 7

2. We divide by 7 both sides

(7 d)/ 7 = 7/ /7

7/7= 1

d= 1

____________________

Answer

9 + 7d = 16

7d= 16 - 9

d= 7/ 7= 1

d= 1

Express the following expression in the form of a + bi : (16 + 6i) ((12 - 10i) - (2 - 5i))

Answers

Given:

There is an expression given as below

[tex]\left(16+6i\right)(\left(12-10i\right)-(2-5i))[/tex]

Required:

We need to simplify the given expression and express in form of a+ib

Explanation:

[tex]\begin{gathered} (16+6i)((12-10i)-(2-5i)) \\ =(16+6i)(12-10i-2+5i) \\ =(16+6i)(10-5i) \\ =160-80i+60i+30 \\ =190-20i \end{gathered}[/tex]

Final answer:

a + ib = 190 - 20i

3. Mindi forgot to pay her water bill of $79.45, and it is now 28days late. Below is the water department's late fee charges.1-10 Days Late$1.50 per day11-20 Days Late10-Day Late Fee+$2.00 per additional day21-30 Days Late10-Day Late Fee+20-Day Late Fee+$2.50 per additional dayHow much will Mindi owe if she pays her water bill today?

Answers

The amount she was supopose to pay = $79.45

It's now 28 days late . The charges will be $2.50 per additional day. Therefore,

[tex]total\text{ additional fe}e=2.50\times28=\text{ \$70}[/tex]

The amount she will pay if she pays today will be

[tex]70+79.45=\text{ \$}149.45[/tex]

Find the equation of the linear function represented by the table below in slope-intercept form.xy1-52-73-94-11

Answers

Answer:

[tex]y=-2x-3[/tex]

Explanation:

Given the table:

x | 1 2 3 4

y | -5 -7 -9 -11

Find the slope using the two point formula.

Take the points (1, -5) and (2, -7).

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{-7-(-5)}{2-1} \\ =\frac{-7+5}{1} \\ =-2 \end{gathered}[/tex]

Substitute the value of the slope into the slope-intercept form y = mx+c.

[tex]y=-2x+c[/tex]

Plug the point (1, -5) into y = -2x+c to find c.

[tex]\begin{gathered} -5=-2+c \\ c=-5-(-2) \\ =-3 \end{gathered}[/tex]

Thus, y = -2x - 3, which is the required equation of the given linear function.

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