The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $11,000.00, how much was the car worth when she bought it?

Answers

Answer 1

The value is decreased by 10%. This means that current price is 100%-10%=90% of the original price. Now we can solve this by using ratios

90% $11000
100% $x

Now we cross multiply numbers and solve it for x:
90*x = 100 * 11000
90x = 1 100 000
x= 1 100 000 / 90
x= $12 222,22

When Maggie bought a car theprice was $12 222,22

Related Questions

Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8(x+2.75)=78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?

Answers

Rita's error is in the sign of 2.75 in her equation. If x is her selling price, Rita needs to find the value of x in
.. 8(x -2.75) = 78

That value will be
.. x = 2.75 +78/8 = 12.50

Answer:

Rita made a sign error.

Step-by-step explanation:

Let x be the selling price of each necklace.

We are told that the materials to make each necklace cost $2.75.

Since profit is the difference between selling price and cost.

[tex]\text{Profit}=\text{Selling price- Cost}[/tex]

So profit of Rita from selling one necklace will be:

[tex]\text{Profit of Rita from 1 necklace}=x-2.75[/tex]

To find the profit of Rita from selling 8 necklace we will multiply 8 by profit of 1 necklace.

[tex]\text{Profit of Rita from 8 necklaces}=8(x-2.75)[/tex]

As Rita wants to make a total profit of $78 from selling 8 necklaces, so we will substitute 78 as profit of 8 necklaces.

[tex]78=8(x-2.75)[/tex]

Upon comparing our equation with the given equation we can see that Rita made a sign error as she added the cost with the selling price instead of subtracting the cost from selling price.

Let us find the selling price.

[tex]78=8x-22[/tex]

[tex]78+22=8x[/tex]

[tex]100=8x[/tex]

[tex]\frac{100}{8}=x[/tex]

[tex]12.5=x[/tex]

We can see that the selling price of each necklace will be 12.5, therefore, Rita made a sign error.

what is 7 × (12 + 8) - 6=

Answers

Your calculator will tell you it is 134.

Recall the order of operations:

Groupings
Exponents
Multiplication
Division
Addition
Subtraction

First, we simplify the terms inside the parentheses [tex](12+8)=20[/tex]. Next, following the order of operations, we multiply this by 7, to get 140. Finally, we subtract 6 to get 134.

Which is not a characteristic of an exponential parent function?
A. The range is positive real numbers (y > 0).
B. The domain is all real numbers.
C. It goes through the origin.
D. It passes through (0, 1).

Answers

Answer:C. It goes through the origin

Step-by-step explanation:

Answer:

Option C) It goes through the origin.

This is the wrong statement about the parent exponential function.

Step-by-step explanation:

We are given the following:

The characteristic of exponential parent function:

[tex]f(x) = y = b^x\\\text{where b is the base}[/tex]

A) True

The range is all positive number that is y > 0

Range can never be negative.

B) True

The domain is all real number.

C) False

It does not pass through origin.

[tex]y = f(0) = b^0 = 1[/tex]

D) True

It always passes through (0,1) as shown above.

Here is a list of ingredients for making cherry scones: Makes 8 cherry scones 200 grams flour 60 grams margarine 40 grams sugar 60 grams cherries 160 ml milk Sophie has 80 grams of sugar and 300 grams of flour. She has plenty of the other ingredients. What is the greatest number of cherry scones she can make?

Answers

She has 80g of sugar, which is 2 times the amount necessary to make 8 scones. She has 300g of flour, which is 1.5 times the amount necessary to make 8 scones. We must go by what is smallest, in this case the flour. She can make 1.5(8) = 12 scones.

Find the zeros and state whether the multiplicity of each zero is even or odd. What are the zeros of f?

Answers

A zero of a function f is where f(x) is equal to zero. You can see that the y-coordinate is zero in two places: for x = -1 and for x =1.

The multiplicity of a root is the number of times it appears as a factor in the function. For example, in [tex]g(x) = x(x+1)^5[/tex], -1 has a multiplicity of five, and 0 has a multiplicity of one. If the multiplicity is an even number, then the graph touches zero and then rebounds (it does not change sign). This is because raising a number to an even power maintains its sign. If the multiplicity is odd, then the graph touches zero and cross the x-axis, changing its sign.

Here, -1 has an odd multiplicity, and 1 has an even multiplicity.

This could be the equation of [tex]f(x) = (x-1)^2(x+1)[/tex].

A company invests a total of $40 comma 00040,000 of surplus funds at two annual rates of interest: 55% and 66one half 1 2%. It wishes an annual yield of no less than 6one fourth 1 4%. What is the least amount of money that the company must invest at the 66one half 1 2% rate? The company should invest at least how much money
at 66one half 1 2%.

Answers

The only way this problem makes sense is if we are investing $40,000 at either 5% and 6.5%, and we want an annual yield of at least 6.25%. Then we can let x be the amount invested at 6.5%, and (40,000 - x) be the amount invested at 5%.
x(0.065) + (40,000 - x)(0.05) = (40,000)(0.0625)
2,000 + 0.015x = 2500
0.015x = 500
x = 33,333
Therefore, the company must invest at least $33,333 at 6.5% to get an annual yield of at least 6.25%.

7^18/7^5 simplifies to 7^p is the value of p 3?

Answers

Given:
[tex] \frac{7^{18}}{7^5} =7^p[/tex]
Solving for p.
[tex] 7^{18-5}=7^p [/tex]
Simplify
[tex]7^{13}=7^p[/tex]
[tex]if a^{f(x)}=a^{g(x)}, \ then \ f(x)=g(x)[/tex]
We get
13=p
or
p=13

Answer: P=13

For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation

Answers

Answer:

c. as the annual rate increases, the monthly payment stays the same.

Step-by-step explanation:

A loan is an amount of money given by individuals, organizations to borrower over a period of time and to repay the principal amount with interest.

A fixed loan amount means that a borrower pays the same amount through each stage of agreed payment of the loan. The amount paid installmentally should not vary or fluctuate during the life of the loan. The amount paid by the borrower every month is fixed, thereby ensures that the loan is paid off in full with interest at the end of its term. As the annual rate increases, the monthly payment stays the same but the number of years may increase.

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

Answers

7/3 is the answer to your question

Answer:

All the potential root of f(x) are [tex]\pm 1,\pm7, \pm \frac{1}{3},\pm \frac{7}{3}, \pm \frac{1}{9},\pm \frac{7}{9}[/tex].

Step-by-step explanation:

According to the rational root theorem, all the potential root of f(x) are defined as

[tex]x=\pm\frac{p}{q}[/tex]

Where, p is factor of constant term and q is factor of leading coefficient.

The given function is

[tex]f(x)=9x^8+9x^6-12x+7[/tex]

Here, constant term is 7 and leading coefficient is 9.

Factors of 7 are ±1, ±7 and the factors of 9 are ±1, ±3, ±9.

Using rational root theorem, all the potential root of f(x) are

[tex]x=\pm 1,\pm7, \pm \frac{1}{3},\pm \frac{7}{3}, \pm \frac{1}{9},\pm \frac{7}{9}[/tex]

Therefore all the potential root of f(x) are [tex]\pm 1,\pm7, \pm \frac{1}{3},\pm \frac{7}{3}, \pm \frac{1}{9},\pm \frac{7}{9}[/tex].

Solve the quadratic equation. (x - 4)2 = 36

Answers

The solutions to the quadratic equation (x - 4)² = 36 are

x = 10 and x = -2.

We have,

To solve the quadratic equation (x - 4)² = 36, we can start by taking the square root of both sides of the equation.

However, we need to consider both the positive and negative square roots because squaring a number eliminates the sign.

Taking the square root of both sides, we have:

√[(x - 4)²] = √36

Simplifying further:

|x - 4| = 6

Now, we can set up two separate equations to consider both the positive and negative square roots:

x - 4 = 6 or x - 4 = -6

Solving the first equation:

x - 4 = 6

Adding 4 to both sides:

x = 10

Solving the second equation:

x - 4 = -6

Adding 4 to both sides:

x = -2

Therefore,

The solutions to the quadratic equation (x - 4)² = 36 are

x = 10 and x = -2.

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Jose can spend no more than 24$ to buy oranges and apples. He will pay 3$ per pound for oranges and $4 per pound for apples. Draw a graph that represents the number of pounds of oranges as the number of pounds of apples Jose can buy.

Hint First, write an inequality. Then, find the x and y intercepts to draw your line. Consider whether you need a solid or dotted line. Do not forget to shade.

Answers

Jose can spend no more than---------- > 24$ to buy oranges and apples

let
x----------------- > number of pounds of apples Jose can buy----> 4$ per pound
y-----------------> number of pounds of oranges Jose can buy----> 3$ per pound
we have that
4x+3y<=24----------------- > this is the inequality required
with x>=0 and y>=0
using a graph tool
see the attached figure

the x-intercept is the point (6,0) maximum number of pounds of apples
the y-intercept is the point (0,8) maximum number of pounds of oranges

The solution is the triangular figure shown in the drawing

Find the expected number of pairs of different people, a and b, such that a picks b's name and b picks a's name. g

Answers

wat is this how can we answer this just die

can u show me common core way how to get the answer to this problem 4 1/5. ×4 3/8

Answers

I'm not quite sure what you mean by common core way but the way to get the answer the question is this:

1.) You must covert the whole numbers into fractions.

[tex]4 \frac{1}{5} \: will \: become \: \frac{21}{5} [/tex]
(multiply the denominator by the whole number, which in this case is 4, then add the answer to the numerator).

[tex]4 \frac{3}{8 \: } \: will \: become \: \frac{35}{8} [/tex]
(same steps will apply as before except in this case there is a different denominator and numerator).

There is no need to make the denominators the same number since it is multiplication and not addition or subtraction (the same can be done with division expect there is one crucial difference which I can explain if you want, in the comments).

2.) Next set up the equation to multiply:

[tex] \frac{21}{5} \times \frac{35}{8} [/tex]
5 and simplify (also note that the only way you can't simplify is across)

[tex] \frac{21}{5} \times \frac{7}{8} [/tex]
3.) Now multiply across:

NUMERATOR
21 × 7 = 147

DENOMINATOR
5 × 8 = 40

It will come together to be 147/40 or 3 27/40

Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle of elevation to the top of the tree to be 59o. jose measures it to be 43o, how far is jose from the base of the tree?

Answers

The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as [tex]x[/tex].
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
[tex]cos(59)= \frac{19}{h} [/tex]
[tex]h= \frac{19}{cos(59)} [/tex]
[tex]h=36.9[/tex]
Now we can use the law of sines to find the distance [tex]x[/tex] between Paul and Jose:
[tex] \frac{sin(43)}{36.9} = \frac{sin(16)}{x} [/tex]
[tex]x= \frac{36.9sin(16)}{sin(43)} [/tex]
[tex]x=14.9[/tex]

Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
[tex]19m+14.9=33.9m[/tex]

We can conclude that Jose is 33.9m from the base of the tree.

There are 96 raisins and 24 cashews in each package of granola. What is the unit rate in raisins per cashew?

4

12

20

96

Answers

96 divided by 24 is 4. The unit rate is 4/1. 4 represents raisins, and the 1 represents the cashew.

96 divided by 24 is 4 so thats your answer

How much interest is earned on $269 at 10% for five years?

Answers

The simple interest can be calculated using the formula:

[tex] I = \frac{PRT}{100} [/tex]

We are given :

Principal = $269

Rate of interest = 10%

Time = 5 years

Plugging the values in the formula:

[tex] I = \frac{269*10*5}{100} [/tex]

Interest = $134.5

The interest on the principal amount in 5 years at the rate of 5% will be equal to $134.5.

What is Simple interest?

A quick and simple way to figure out interest on that money is to use the simple interest approach, which adds interest at the same rate for each daily cycle, and it is to the initial principal amount.

A way to figure out how much interest will be charged on an amount of money at a specific rate and for a specific duration of time is by using simple interest.

As per the question, the given data is,

Principle, P = $269

Rate, T = 10%

Time, T = 5 years

[tex]SI =(P*R*T)/100[/tex]

SI = (269 ×10 × 5)/100

SI = $134.5

Therefore, the interest earned in 5 years is $134.5.

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The triangular shaped bases of a prism are 24 cm in length and have a height of 35 cm. Each side is 37 cm. The height of the prism is 29 cm. What is the surface area of the triangular prism? A) 2192 cm2 B) 2312 cm2 C) 3220 cm2 D) 3682 cm2

Answers

The answer is D. To get this answer I created a net of the prism to show all five faces and the areas of each. There are 2 congruent triangles, 2 congruent rectangles, and one other rectangle that you will find the area of. The areas of the triangles are 420 square cm each, the two congruent rectangles have areas of 1073 square cm, and the other rectangle's area is 696 square cm. I have attached a picture so you can see these areas clearly.

In the figure. d=4 yd, h=6 yd, and H=8 yd. What is the approximate volume of the figure? Use 3.14 to approximate

Answers

check the picture below.

so is really just a cylinder with a cone on the side, notice, since the diameter of the base is 4, the radius is half that then.

so we just simply get the volume of the cylinder, and the cone, and sum them up

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=2\\ h=6 \end{cases}\implies V=\pi \cdot 2^2\cdot 6\\\\ -------------------------------\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=2\\ h=2 \end{cases}\implies V=\cfrac{\pi \cdot 2^2\cdot 2}{3}\\\\ -------------------------------\\\\ \stackrel{cylinder's~volume}{24\pi }~~+~~\stackrel{cone's~volume}{\cfrac{8\pi }{3}}[/tex]

Answer: 84yd

Step-by-step explanation:

Vcylinder=πr2h

=π(2)2(6)

=24π

≈24(3.14)

≈75.36 yd

_____________________

The height of the cone is the height of the figure minus the height of the cylinder:

8 yd−6 yd=2 yd

Vcone=13πr2h

=13π(2)22

=223π

≈223(3.14)

≈8.37 yd3

Add the volumes.

75.36 yd3+8.37 yd3=83.73 yd3

To the nearest cubic yard, the volume is 84 yd3.

Prove: tan(x-y)+tan(y-z)+tan(z-x)=tan(x-y)tan(y-z)tan(z-x)

Answers

tan(z-x) = tan((y-x)-(y-z))
=> tan(z-x) = (tan(y-x) - tan(y-z))/(1+tan(y-x).tan(y-z))
by given formula.
Multiply both sides by (1+tan(y-x).tan(y-z)):
tan(z-x).(1+tan(y-x).tan(y-z)) = tan(y-x)-tan(y-z)
=> -tan(y-x) + tan(y-z) + tan(z-x) = -tan(y-x).tan(y-z).tan(z-x)
=> tan(x-y) + tan(y-z) + tan(z-x) = tan(x-y).tan(y-z).tan(z-x),
since tan(x-y) = -tan(y-x).
Please put me as brainlest if it is correct

Which statement about the following argument is true?

Argument:

If it snows, the roads will get slippery.

It's snowing.

Therefore, the roads are slippery.

A:The argument is valid by the Law of Syllogism.

B: The argument is valid by the Law of Detachment.

C: The argument is invalid.

D: The argument is valid but does not follow the Law of Syllogism or the Law of Detachment.

Answers

1. The argument is valid by the Law of Detachment.

2. Determine the contrapositive statement of the conditional, so we have...

If you live in Idaho, then you do not live in New York City.

3. If ticket prices are low and the line to purchase them is short, then I will go to the show.

4. If Satish takes the Tuesday 8:00am Chemistry class or the Tuesday 8:00am Physics class, then he will finish the program.

D: The argument is valid but does not follow the Law of Syllogism or the Law of Detachment.

The price of a bicycle was increased from $300 to $450. What percent of the original price is the increased price?

Answers

The percentage increase is 50% than the original price.

The price of a bicycle was increased from $300 to $450. What percent of the original price is the increased price?

Calculate the increase: $450 - $300 = $150.

Calculate the percentage increase: ($150 / $300) x 100% = 50%.

what is the vertex of -3x^2 - x + 12

Answers

Hey there!

To start, first find your axis of symmetry, or the x value of your vertex, which is found by using the formula
x=-b/2a.

In the quadratic equation -3x^2-x+12, the b value would be -1 (the b value is the second coefficient as according to ax^2+bx+c) and the a value would be -3.

Now, plug the values into the axis of symmetry formula and simplify for x:
x=-(-1)/2(-3)
x=1/-6
x=-[tex] \frac{1}{6} [/tex]

Now, plug the value of the axis of symmetry to solve for the y value of the vertex:
-3(-1/6)^2-(-1/6)+12
-3(1/36)+1/6+12
-1/12+1/6+12
1/12+12
=[tex] \frac{145}{12} [/tex]

Knowing that the x value, or axis of symmetry is -[tex] \frac{1}{6} [/tex] and the y value is [tex] \frac{145}{12} [/tex], your vertex would be (-[tex] \frac{1}{6} [/tex],[tex] \frac{145}{12} [/tex]).

Hope this helps and I hope you have a wonderful day! :)

What is 8587 divided by 12

Answers

the answer is 715.583333333

Given this arithmetic sequence, find d 4,_,_,_,_,179

Answers

4 + (6-1)d = 179
4 + 5d = 179
5d = 175
d = 35

[tex]a_1=4 \\ a_6=179 \\ \\ d= \frac{179-4}{6-1}= \frac{175}{5}=35[/tex]

The answer is d=35

Miss Cohan purchased a bottle of vitamins for $7.99 a bottle of aspirin for $6.49 and a bottle of mouthwash for $2.99 she gave the clerk two $10 bills how much change did she receive

Answers

Well, as she gave the clerk 20.00, and the items add up to 17.47, she will receive 2.55.

Bradley is making fruit salad for each bowl of fruit salad he needs 3/4 cup of grapes how many cups of grapes will he use if he makes 24 bowls of fruit salad

Answers

Answer:3/4 i think

Step-by-step explanation:

The fruit salad requires 32 cups of grapes.

What is the unitary method?

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

Given that, Bradley is making fruit salad for each bowl of fruit salad he needs 3/4 cup of grapes.

He makes 24 bowls of fruit salad.

Number of cups of grapes = Total number of bowls ÷ Number of cups of grapes in each bowl

= 24 ÷ 3/4

= 24 × 4/3

= 32

Therefore, the fruit salad requires 32 cups of grapes.

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When 18 boys joined a group of why students, the ratio of boys to girls in the group became 4 : 5. Write an algebraic expression for the number of girls in terms of Y.

Answers

18 /(y + 18) = 4/9 <<<<===== answer.
be careful the number of boys is in a ratio of the number of boys to the total.
Just to make sure I'm right, I solve it.
18 * 9 = 4*(y + 18)
162 = 4y + 72 Subtract 72 from both sides.
90 = 4y Divide by 4
22.5 = y Never mind the 0.5. Does it work

18/22.5 = 0.8
0.8 is the same thing as 4/5
The problem makes no sense in the real world, but it does work out mathematically.

(Will give Brainliest/5 Stars if correct answer)
Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 4>, v = <9, -9>

A) 81.6°
B) 25.8°
C) 35.8°
D) 71.6°

Answers

Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees

----------------------------------------------
----------------------------------------------

Work Shown:

Each time I write the word "dot" I mean "dot product".

|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)

-----------------------

|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)

-----------------------

u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36

-----------------------

cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)

That's why the approximate answer is roughly 71.6 degrees

Answer:

71.6°

Step-by-step explanation:

arctan(4/8) - arctan(-9/9) = 26.57° - (-45°) ≈ 71.6°

The shorter leg of a 30°-60°-90° triangle measures 3 inches. What is the length of the hypotenuse?
A. 6 inches
B. 3sqrt3 inches
C. 9 inches
D. 6sqrt3 inches

Answers

It is worth remembering that the legs of a 30-60-90 triangle have the ratios
.. 1 : √3 : 2

The hypotenuse is 2 times the length of the shorter leg, so is 6 inches, selection A.

The shorter leg of a 30°-60°-90° triangle measures 3 inches. What is the length of the hypotenuse?
A. 6 inches
Hope I help

how to set the answer up

Answers

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

2s + g = 1715s + 8g = 576

Cramer's rule tells you the solution to the system

ax +by = cdx +ey = f

Is given by

x = (bf-ey)/(bd-ea)y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

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