Sale tax rate = 6.85%
To calculate the sale tax on a $14,000 Car, multiply 14,000 by the sale tax rate in decimal form ( divided by 100)
14,000 x (6.85/100) = 14,000 x 0.0685= $959
To find the final cost, add the sale tax amount to the price:
14,000 + 959 = $14,959
Find the rate of change for each interval solve 2
we will use the next formula to find the rate of change of the given interval
[tex]r=\frac{f(b)-f(a)}{b-a}[/tex]in our case
a=-3
b=6
[tex]f(-3)=10\log (-3+4)+2=2[/tex][tex]f(6)=10\log (6+4)+2=12[/tex]then we substitute the values in the formula
[tex]r=\frac{12-2}{6-(-3)}=\frac{10}{6+3}=\frac{10}{9}[/tex]The average rate of change is 10/9=1.11
Brenda ordered 12 dozen cookies from the bakery 1/3 of them or peanut butter 1/6 of the cookies are ice 3/8 of the cookies are chocolate chip recipe cookies are oatmeal how many cookies are oatmeal cookies
The number of oatmeal cookies when Brenda ordered 12 dozen cookies from the bakery is 18.
How to calculate the value?Since Brenda ordered 12 dozen cookies from the bakery, the total number ordered will be:
= 12 × 12
= 144 cookies
Since 1/3 of them or peanut butter 1/6 of the cookies are ice 3/8 of the cookies are chocolate, the fraction for oatmeal will be:
= 1 - (1/3 + 1/6 + 3/8)
= 1 - 7/8
= 1/8
The oatmeal cookies will be:
= 1/8 × 144
= 18
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What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯?
Enter your answer by filling in the boxes.
The coordinates of the midsegment are :
T ( 0 , 2 ) where x axis 0 and y axis is 2
S ( 8 , 0 ) where x axis is 8 and y axis is 0
R ( 0 , 6 ) where x axis is 0 and y axis is 6
All the points are mentioned in the first quadrant and
The coordinates of the midsegment are :
T ( 0 , 2 ) where x axis 0 and y axis is 2 this means we move 2 units from the origin towards right and 0 units from the x axis thus the y axis is 0
Similarly you can observe for the rest of the two points
S ( 8 , 0 ) where x axis is 8 and y axis is 0
R ( 0 , 6 ) where x axis is 0 and y axis is 6
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Please help me i need this answer in less than 15 minutes. What is -1 5/8 estimated?
Answer:
[tex] - 120[/tex]
that would be your answer thank you very much
Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below. P(h) =P. e-0.00012h In this function, Po is the air pressure at the surface of the Earth, and his the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 65% of the air pressure at the surface of the Earth?
A. 0.65 m
B. 5416.7 m
C. 3587.4 m
D. 3589.9 m
3589.9 m is the height at which air pressure equals 65% of the air pressure at the surface of the Earth
How to find the height at which air pressure equals 65% of P₀?
Given: the function P(h) =P₀ e^(-0.00012h)
When air pressure equals 65% of the air pressure at the surface of the Earth. That means P = 0.65P₀
Substitute P = 0.65P₀ into the function:
P(h) = P₀ e^(-0.00012h)
0.65P₀ = P₀ e^(-0.00012h)
Dividing both sides by P₀ gives:
0.65 = e^(-0.00012h)
Take ln of both sides (ln is the inverse of e):
ln 0.65 = -0.00012h
h = ln 0.65/ (-0.00012)
h = 3589.9 m
Therefore, the height at which air pressure equal 65% of the air pressure at the surface of the Earth is 3589.9 m. Option D is the answer
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I am going to have to send you a photo of the problem because it is to large to crop into this.
Solution
we need to convert the following expression:
four less than half a number n
Then the best answer is:
[tex]\frac{1}{2}n-4[/tex]Solve the problem involving probabillities withindependent events.A single die is rolled twice. Find theProbability of getting a 6 the first time anda 3 the second time.
Solution
If a single die is rolled twice, we would have
[tex]P((6,3))=\frac{1}{36}[/tex]Write the equation y= 4/3 x + 2 in standard form also please Include step by step process
The standard form of the equation of the line
The equation of the line can be expressed in several forms. One of them is the standard form:
Ax + By = C
Where A, B, and C are constants, and x and y are the variables.
We have the equation:
[tex]y=\frac{4}{3}x+2[/tex]Multiplying by 3:
[tex]3y=4x+6[/tex]Subtracting 4x:
[tex]-4x+3y=6[/tex]Is the required standard form of the line
What is the greatest common factor of 42a^5b^3,35a^3b^4,and 42ab^4?
Answer:
[tex]7a {b}^{3} [/tex]
Step-by-step explanation:
[tex]42 {a}^{5} {b}^{3} = 2 \times 3 \times 7 \times a \times a \times a \times a \times a \times b \times b \times b[/tex]
[tex]35 {a}^{3} {b}^{4} = 5 \times 7 \times a \times a \times a \times b \times b \times b \times b[/tex]
[tex]42a {b}^{4} = 2 \times 3 \times 7 \times a \times b \times b \times b \times b[/tex]
We see that 7, a, and b^3 are common factors, so the GCF is
[tex]7a {b}^{3} [/tex]
Yuvia works in a computer store, where she earns a commission of 8 percent of her sales. On monday, her sales were $2,500. She calculates the amount she made on commission: ($2,500)(0. 08) = yuvia also earns a base salary of $45 per day. What is the total amount she earned that day? [total salary = base pay + commission].
If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.
Commission = 8 % of sales
Commission =($2,500)(0. 08)
Commission =$ 200
If yuvia also earns a base salary of $45 per day,
Total salary = base pay + commission].
Total salary =45 +200
Total salary =$245
f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
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If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?
The expression which is equivalent to fog(x), is
fog(x) = 3x² + 5
Given, the functions f(x) and g(x), as follows
f(x) = 3x + 2 and g(x) = x² + 1
Now, we have to find the fog(x),
fog(x) = 3( x² + 1 ) + 2
fog(x) = 3x² + 3 + 2
fog(x) = 3x² + 5
So, the value of fog(x) = 3x² + 5
Hence, the expression which is equivalent to fog(x), is
fog(x) = 3x² + 5
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I need help with this math hw its' in the image
Answer:
x = 7y = 37Step-by-step explanation:
You want to know the values of x and y that make the angle measures consistent with the triangles being congruent in the given figure.
CongruenceThe side markings show congruent triangles with corresponding vertices (and angles) ...
L (3x+24)° ⇔ P (8x -11)°
M 84° ⇔ Q 84°
N (2x +y)° ⇔ R (no marking)
Corresponding angles L and P have the same measure, so ...
3x +24 = 8x -11
35 = 5x . . . . . . . . add 11-3x
7 = x . . . . . . . . . divide by 5
The measures of these angles are ...
(3(7) +24)° = 45°
Angle sum theoremThe sum of the angles in each triangle is 180°, so the measure of angle N is found to be ...
L +M +N = 180°
45° +84° +N = 180°
N = 51°
This lets us find the value of y from ...
(2x +y)° = 51°
2(7) +y = 51
y = 37 . . . . . . . . subtract 14
The value of x is 7. The value of y is 37.
Cassandra has a tangler panto in her backyard the panto is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cassandra is panto write an equation to show your work
The perimeter measures around 36 metre.
Describe a perimeter?The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.
While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.
As an expression,
2(13)+2(5)
=26+10
=36.
The perimeter is approximately 36 meters.
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Han finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in terms of its radius r in inches. This is the graph Han gets if he allows r to take on any value between -1 and 5.
What would be a more appropriate domain for Han to use instead?
What is this asking I don't understand
The more appropriate domain for Han is values between 0 and 4, while the minimum surface area is 20.
Given that,
Han discovers an equation for S(r) that, in terms of the radius r in inches, yields the surface area in square inches of any cylindrical container with a particular fixed volume. If Han lets r to take on any value between -1 and 5, he will obtain the graph shown above.
The more appropriate domain to use
The function's finishing graph is added as an attachment.
We can make the following observations based on the graph.
Minimum x value = 0
Maximum x value = 4
The following is a representation of the domain of the function's graph:
Minimum x value <= x <= Maximum x value
Substitute the known values in the above equation
So, we have
0 <= x <= 4
0 and 4 are represents a more appropriate domain.
The minimum surface area
The graph that completes the function is added as an attachment
From the graph, we have the following observation
Minimum y value = 20
20 is the minimum surface area of the cylindrical can.
Therefore, The more appropriate domain for Han is values between 0 and 4, while the minimum surface area is 20.
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natalie is organizing textbooks on her bookshelf. she has a spanish textbook, a biology textbook, a physics textbook, and a health textbook. how many different ways can she line the textbooks up on her bookshelf?
Natalie can line up her textbooks in 24 different ways on her bookshelf.
Natalie has a Spanish book, a biology book, physics book, and a health text book.
So, she has a total of 4 books in her book shelf.
So, the number of positions in which the books have to be put are four.
As we can see,
The books are only one in number each. So, the choices are not repeatable.
So,
In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.
So, the total different ways in which she can line up her books in the bookshelf are,
= 4×3×2×1
= 24
So, there are 24 different ways possible.
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HELP ME QUICKLY!!!
What is the equation of a line with a slope of 6 and à
y-intercept of 8.
A) y=6x+8
B) y=8x+6
C) y=48x
D) y=6x-8
Answer:
Equation of the line is 6x−y+8=0.
So I think Its A
Step-by-step explanation:
I rlly hope it helps u lol
Is y-8= -x a linear equation?
Please help with linear equations See attached pic to understand problem more clearly
Given the system of equations. We have:
- For (5,0)
Substitute x = 5 and y = 0 in the equations:
[tex]\begin{gathered} 5(5)+4(0)=-1 \\ 25+0=-1 \\ 25\ne-1 \end{gathered}[/tex]Answer: No
- For (-7, -8)
x = -7 and y = -8
[tex]\begin{gathered} 5(-7)+4(-8)=-1 \\ -35-32=-1 \\ -67\ne-1 \end{gathered}[/tex]Answer: No
- For (3, -4)
[tex]\begin{gathered} 5(3)+4(-4)=-1 \\ 15-16=-1 \\ -1=-1 \\ \text{and} \\ 3(3)-2(-4)=-5 \\ 9+8=-5 \\ 17\ne-5 \end{gathered}[/tex]This is satisfied for the first equation but not for the second. Therefore it is not a solution to the system.
Answer: No
- For (-2, -2)
[tex]\begin{gathered} 5(-2)+4(-2)=-1 \\ -10-8=-1 \\ -18\ne-1 \end{gathered}[/tex]Answer: No
1.9 worksheet Name: Veronica is fertilizing her backyard. The total weight of fertilizer varies rectly with the number of bags.
The rate of cahne of rate with respect to bags is.
[tex]\begin{gathered} R=\frac{120-90}{4-3} \\ =\frac{30}{1} \\ =30 \end{gathered}[/tex]Therfore, the rate is 30.
Since, the slope of the graph is positive. The variation is direct.
Y=-3|x+2|+8 Slope of the rays
The slopes of the rays of the absolute value function, y = -3·|x + 2| + 8 are 3 and -3
What is an absolute value function?In an absolute value function, an algebraic expression is contained within an absolute value symbol.
The given absolute value function is; y = -3·|x + 2| + 8
The slope of the rays are found as follows;
The general form of the absolute value function is; f(x) = a·|x - h| + k
The vertex of the function is the point (h, k)
The slope of the function is a
Comparing the specified function, y = -3·|x + 2| + 8, to the general function, we get;
The vertex of the function is (h, k) = (-2, 8)
The slope of the rays of the function are; a = 3
Slope of the ray 1 = (8 - (-19))/(-2 - (-11)) = 3
Slope of ray 1 is therefore; 3
Slope of ray 2 = (8 - (-19))/(-2 - 7) = -3
The slope of the ray 2 is therefore; -3
The slope of the rays are; 3 and -3
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Can sum1 pls help me asap
The correct answer is reflection. Option B.
Metamorphosis is a dramatic change in shape or appearance. Big events like getting a driver's license, going to college, or getting married can change your life. He has three basic fixed transformations of reflection rotation and translation. There is a fourth common transformation called expansion.
Simple Transformations is the SAP programming language for describing transformations between ABAP data and XML formats. ST is limited to ABAP data serialization and deserialization, the two most important modes of data integration. Transformation means change. A geometric transformation, therefore, means making some changes to a particular geometric shape. Transformation is a specific process by which exogenous genetic material is taken up and integrated directly into cells through the cell membrane.
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Write an equation in the form y mx for the Heartbeats to Time proportional relationship shown below. Time over heartbeats
To determine the required slope intercept form, take the heartbeat as varible y and time as varible x.
Now select any two coordinates from the table.
Take (2,3) and (4,6).
Use the two point form,
[tex]\begin{gathered} \frac{y-3}{x-2}=\frac{6-3}{4-2} \\ 2(y-3)=3(x-2) \\ 2y-6=3x-6 \\ 2y=3x \\ y=\frac{3}{2}x \end{gathered}[/tex]Thus, y=1.5x is the requried form of the line.
What is the product of 54 and 2.2 \times 10^62.2×10 6 expressed in scientific notation?
The given expression is represented in scientific notation as (1.77 × 10⁶).
What do we mean by scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 × 10⁸ in scientific notation.So, the given expression in scientific notation:
= (2.2 × 10^6) - (4.3 × 10^5)= (2.2 × 1000000) - (4.3 × 100000)= 2200000 - 430000= 1770000= 177 × 10^4= 1.77 × 10⁶Therefore, the given expression is represented in scientific notation as (1.77 × 10⁶).
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Correct question?
2.2⋅10^6 −4.3⋅10^5 scientific notation
Triangles ABC and DEF are similar.
Side length AB is 2, side length AC is 4, and side length BC is 3
Side length DE is 1.34
What is the length of DF and EF?
If Triangles ABC and DEF are similar. Side length AB is 2, side length AC is 4, and side length BC is 3 Side length DE is 1.34 then length of DF = 2.68 and length of EF = 2.01
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Given,
Triangles ABC and DEF are similar.
AB = 2
AC = 4
BC = 3
DE = 1.34
We need to find the length of DF and EF
Given that ABC and DEF are similar, therefore:
AB/DE = BC/EF = AC/DF
2/1.34=3/EF=4/DF
1.49=3/EF=4/DF
Now,
1.49=3/EF
EF=3/1.49
EF=2.01
1.49=4/DF
DF=4/1.49
DF=2.68
Hence, length of DF = 2.68 and length of EF = 2.01
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which relation is not a function?
Answer:
D
Step-by-step explanation:
Two of the same X's
20 hours and earns $210.00
Answer:
$10.5/hr
Step-by-step explanation:
210/20=10.5
How do I solve this?
10-7(3 + 2) +7²
Answer:
24
Step-by-step explanation:
10 - 7(3 + 2) + 7²
10 - 7(5) + 49
10 - 35 + 49
10 - 35 = -25
-25 + 49 = 24
I hope this helps!
two weeks after being planted, a sunflower was eighteen inches tall. After five weeks, it was thirty inches tall. if the sun flower grew at a constant rate, how tall was the sunflower when It was planted?
10" tall
1) Gathering the data
2 weeks 5 weeks
18" tall 30" tall
2) Let's find the initial height of that sunflower since it is not a proportional growth we need to find it through a linear function.
(Since 30/5 = 6 and 18/2=9)
After finding the slope m, let's find the linear coefficient
y=mx +b
18 =2(4) +b
18= 8 +b
18-8=b
b=10
So the rule of that function is y=4x +10
3) Now we can find the initial height. Plugging x=0, where x is the number of weeks we have:
y = 4x +10
y=4(0) +10
y= 10
So the sunflower was 10" tall on the day it was planted.
Select the correct answer.
Given the following formula, solve for a.
8= a+b+c / 2
Answer:
a = 16 - b - c
Step-by-step explanation:
8 = (a + b + c) ÷ 2
×2 on both sides to cancel out ÷
16 = a + b + c
- b - c to cancel out +
a = 16 + b + c
Which line matches the equation belowF(x)=-3^xA RedB blueC greenD purple
The function is given as,
[tex]F(x)=-3^x[/tex]The graph representing the above equation is green colour.