The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

= 0.8916%

Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

= $20,000×0.008916

= $178.3

Hence the approximate monthly decrease in value is $178.3


Related Questions

please help me on this

Answers

Answer:

YZ = 8.5

Step-by-step explanation:

Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is

[tex]\frac{YX}{YZ}[/tex] = [tex]\frac{XR}{ZR}[/tex] , substitute values

[tex]\frac{11.9}{YZ}[/tex] = [tex]\frac{7}{5}[/tex] ( cross- multiply )

7YZ = 59.5 ( divide both sides by 7 )

YZ = 8.5

Please explain and help

Answers

Answer:

y=-x+2  

Step-by-step explanation:

it is linear equation y=mx+b two points (0,2),(1,1)

find m ( slope)=y2-y1/x2-x1 ⇒1-2/1-0⇒-1

y=mx+b choosea point from graph :(0,2)\when x =0 the y=b=2

y=-x+2  

solve the multi step literal equation: solve equation for A b^2A^2-3g=q

Answers

Answer:

A = ± [tex]\sqrt{\frac{q+3g}{b^2} }[/tex]

Step-by-step explanation:

Given

b²A² - 3g = q ( add 3g to both sides )

b²A² = q + 3g ( divide both sides by b² )

A² = [tex]\frac{q+3g}{b^2}[/tex] ( take the square root of both sides )

A = ± [tex]\sqrt{\frac{q+3g}{b^2} }[/tex]

PLEASE HELP

Water flows through a pipe at a rate of 490 milliliters every 6.5 hours. Express this
rate of flow in fluid ounces per minute. Round your answer to the nearest hundredth.

Answers

Answer:

[tex]0.042~\dfrac{fl~oz}{min}[/tex]

Step-by-step explanation:

1 gal = 231 in.^3

1 gal = 128 fl oz

1 in. = 2.54 cm

1 ml = 1 cm^3

[tex]\dfrac{490~ml}{6.5~hour} \times \dfrac{1~cm^3}{1~ml} \times \dfrac{1~in.^3}{(2.54~cm)^3} \times \dfrac{1~gal}{231~in.^3} \times \dfrac{128~fl~oz}{1~gal} \times \dfrac{1~hour}{60~min} =[/tex]

[tex]= 0.042~\dfrac{fl~oz}{min}[/tex]

Answer:

On delta math its 0.04

Step-by-step explanation:

kofi and kweku are two brothers. Kofi is older than kweku. Given that kofi's age is (5x-4) years and kweku's age is (2x+1) years.
a. write down an expression, interns of x,for how much old is Kofi than kweku.
b. if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the details :

Kofi is older than kweku

kofi's age = (5x-4) years

kweku's age = (2x+1) years

a. write down an expression, interns of x,for how much old is Kofi than kweku

Equate the ages of Kofi and kweku

(5x - 4) = (2x + 1)

5x - 4 = 2x + 1

5x - 2x = 1 + 4

3x = 5

3x - 5

B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku

Then,

(5x-4) = (2x + 1) + 10

5x - 4 = 2x + 1 + 10

5x - 2x = 1 + 10 + 4

3x = 15

x = 5

Kofi's age : 5x - 4

5(5) - 4 = 25 - 4 = 21 years

Kweku's age : (2x + 1)

2(5) + 1 = 10 + 1 = 11 years

A square playground has sides that each measure 120 feet in length.
On a scale drawing, - inch represents 5 feet on the playground.
How long is a side of this playground on the scale drawing?

Answers

Answer:

24 inches

Step-by-step explanation:

So, 1 inch = 5 feet

then, x inch = 120 feet

Let's represent this as a ratio.

1 inch / x inch = 5 feet / 120 feet

1 inch / x inch = 1 feet /24 feet

x = 24 inches

AB=a just incase it cant be seen​

Answers

Answer:

Below

Step-by-step explanation:

● vector ED:

Vector ED = a since the Vectors ED and AB are colinear and have the same sense.

● vector CD:

Vector CD = -b since the vectors FA and CD are colinear but have opposite senses.

● Vector FB:

Vector FB = a+b

Using Chasles relation, we can express FB as the sum of the Vectors FA and AB.

● Vector BE:

Vector BE= -2b

The vectors BE and FA are colinear but have different senses. BE has a magnitude that is the double of FA's one.

●Vector EF:

Again using Chasles, relation we can express EF as the sum of the vectors FA and AB.

Vector EF= a+b

● Vector CF:

Vectors CF and AB are colinear but have opposite senses. The distance CF is the double of AB.

So: Vector CF=a+b

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

18 m

Step-by-step explanation:

Answer:

18m

Step-by-step explanation:

plz help.. plzz if you can

Answers

Answer:

C is a function

Step-by-step explanation:

We can use the vertical line test.  If a vertical straight lines passes through the graph more than one, it is not a function

A and B are not functions

C is a function

Please answer this question now

Answers

Answer:

A≈422.37

You use the equation A=πr(r+h2+r2) to find the surface area of a cone

Answer:

373.99 sq cm

Step-by-step explanation:

formula for surface area of cone is: πr(r+s) where r is radius and s is slant height.

π*7(7+10) = π*7(17) = π*119 = 3.14*119 = 373.99 sq cm

-2(8 - 1)= find the product

Answers

Answer:

-14

Step-by-step explanation:

First, solve what is in the parentheses:

8-1=7

Now you have -2(7)

-2(7)=

-14

The product is -14!

Answer:

-14

Step-by-step explanation:

-2(8-1)

= -2*8 -2*-1

= -16 + 2

= -14

another solutión is:

-2(8-1)

= -2*7

= -14

33. Find the area of the parallelogram above?





Answers

Answer:

120

Step 1: Value of triangle's sides

First, we need to find out the height of the parallelogram, since the equation to find the area is b * h. To find the height, we must use the Pythagorean Theorem to find the sides of the triangle on the right. Since the base is 15 cm, we know that the top is also 15 cm, so we subtract 9 from 15 to get 6. One of the sides of the triangle is 6, and the hypotenuse (longest side of the triangle) is 10.

Step 2: Pythagorean Theorem

[tex]a^2+b^2=c^2[/tex]. This is the equation we always use if we want to find the sides of a right triangle. Here, a = 6 and c = 10. In the formula, a and c needs to be squared to find b.

[tex]10^2 (10*10)=100\\6^2 (6*6)=36\\\\c^2=100\\a^2=36[/tex]

Now, we have to subtract c^2 from a^2 to get b^2.

[tex]100-36=b^2\\100-36=64\\b^2=64[/tex]

Finally, we find the square of 64 and that is 8.

8 is our height.

Step 3: Finding the area

This last step is really simple. to find the area of this parallelogram, we just have to multiply the height (8) by the base (15).

[tex]8*15=120\\Area=120[/tex]

Our area is 120.

Answer:

120

Step-by-step explanation:

at first you need to calculate h Using the Pythagorean relation

10

[tex]10 { }^{2} = 6 {}^{2} + x {}^{2} [/tex]

[tex] x {}^{2} = 100 - 36 = 64[/tex]

[tex]x = 8 = h[/tex]

area=

[tex]8 \times 15 = 120[/tex]

Find the value of x. Your answer must be exact.
X
12.
600
X=

Answers

Answer:

x = 6√3

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use sine

sin ∅ = opposite / hypotenuse

From the question

The hypotenuse is 12

The opposite is x

Substitute the values into the above formula and solve for x

That's

[tex] \sin(60) = \frac{x}{12} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

[tex]x = \frac{ \sqrt{3} }{2} \times 12[/tex]

We have the final answer as

x = 6√3

Hope this helps you

Simplify
2x + 5x^3 + 3x - 4x^3 ​

Answers

Answer:

x³ + 5x

Step-by-step explanation:

2x+5x3+3x−4x3

=2x+5x3+3x+−4x3

Combine Like Terms:

=2x+5x3+3x+−4x3

=(5x3+−4x3)+(2x+3x)

=x3+5x

Answer:

[tex]\large \boxed{x^3+5x}[/tex]

Step-by-step explanation:

[tex]2x + 5x^3 + 3x - 4x^3[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]5x^3 - 4x^3+2x+3x[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]x^3+5x[/tex]

There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$ is $a$, then point $P$ is at $(3a, a^2+13a-11)$. If the slope of a line passing through $A$ and $P$ is $7$, find $a$.

Answers

Answer:

  5

Step-by-step explanation:

Given:

  A = (a, 14-a)

  P = (3a, a^2 +13a -11)

  the slope of AP is 7

  a > 0

Find:

  a

Solution:

The slope of AP is ...

  m = (Py -Ay)/(Px -Ax)

  7 = (a^2 +13a -11 -(14 -a))/(3a -a)

  14a = a^2 +14a -25

  25 = a^2

  a = √25 = 5 . . . . . the positive solution

The value of 'a' is 5.

_____

Check

The point A is (a, 14-a) = (5, 9).

The point P is (3a, a^2 +13a -11) = (15, 79)

The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.

The slope of the line below is -3. Which of the following is the point-slope
form of the line?
13
A. ¥+ 2 = -3(x-6)
© B. y-6--3(x + 2)
© C. y. 2 = -3(x + 6)
D) D. y + 6 = -3(x-2)

Answers

Answer:

[tex]\boxed{D. y + 6 = -3(x - 2)}[/tex]

Step-by-step explanation:

Hey there!

Well given point,

(2,-6)

Point slope form is,

y - y1 = m(x - x1)

Plug in the given point

y + 6 = m(x - 2)

Plug in slope

y + 6 = -3(x - 2)

So choice D. y + 6 = -3(x - 2) is correct.

Hope this helps :)

what is acceleration produced by a force of 12 newton exerted on an object of mass 3kg​




please use latex because I have to copy this

Answers

Answer:

[tex] 4 ms^{-2} [/tex]

Step-by-step explanation:

[tex] \because Force = mass \times acceleration \\

\therefore Acceleration = \frac {Force} {mass} \\

= \frac {12}{3} \\

= 4 ms^{-2} [/tex]

Step-by-step explanation:

[tex]as \: we \: know \: that \: force = mass \times accerlation \: [/tex]

[tex]so \: it \: means \: accerltion = \frac{mass}{force} [/tex]

[tex]so \: put \: the \: values [/tex]

[tex]acceleration = \frac{12}{3} [/tex]

[tex]after \: solving \: it \: we \: get \: the \: answer \: 4[/tex]

a = 4 is ur answer

so the acceleration is 4 m/s.^2

Hope it helps u

square root of 324 ,576 and 704(show all steps)

Answers

Answer:

Step-by-step explanation:

324=18

√576=24

√704=26.532....

Write an equation for the line in the graph that passes through the points (0,4) and (12,16).

Answers

Answer:

We have,

y-y1=m(x-x1)

or,y-4=-1(x-0)

or,y-4=-x

or,x+y=4 is the required equation

Step-by-step explanation:

it it helps u ...plz mark it as brainliest


In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread

Answers

Answer:

The correct option is;

C. Marginal frequency

Step-by-step explanation:

The objective of comparison of two distributions is to check the significant difference from each other

The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves

Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table

The marginal frequency is used to calculate the marginal relative frequency

The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.

Answer:

C. Marginal frequency

Step-by-step explanation:

-104=8x what is the answer?

Answers

Answer:

x=-12

Step-by-step explanation:

8x=-104

8x÷8=-104÷8

x=-104÷8

x=-13

Step-by-step explanation:

8x:-104

8÷8x:-104÷8

x:13

Vladimir builds 3 legged stools and 4 legged tables. Last month he used 72 legs to build 3 more stools than tables. How many stools and how many tables did he build?

Answers

Answer:

9 tables

12 stools

Step-by-step explanation:

x= number of tables

x+3= number of stools

4x+3(x+3)=72

4x+3x+9=72

4x+3x=72-9

7x=63

x=9

So he built 9 tables and 12 stools

(9x4=36, 3X12=36, 36+36=72) CHECK

The figure below shows dimensions of a block of foam used to package a triangular shaped product. The foam is in the shape of a rectangular prism with a small triangular prism removed from the center. How many cubic centimeters of foam are used to package this product?

Answers

Answer:

5,580

Step-by-step explanation:

Rectangle: 36x30x60=6480

Triangle: 1/2x15x20x6=900

6480-900=5,580

The foam are used to package this product is cubic centimeters.

What is the volume of the rectangular prism?

The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.

Area of rectangular prism = 2(length x width + length x height + width x length)

Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)

= 10080 cubic centimeters

Let's find the base area:

The formula to find the base area is,

B = ½bh

Triangle area = 1/2 x 15 x 20 x 6

Triangle area = 900

10080 - 900 = 9180

Hence, the foam are used to package this product is cubic centimeters.

Learn more about rectangular prism;

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Solve logs (8 - 3x) = log20 for x.
A. X = 14
B. X = -13
C.x = -8
D. X= -4

Answers

Answer:

x = -4

Step-by-step explanation:

logs (8 - 3x) = log20

Since we are taking the log on each side

log a = log b  then a = b

8 -3x = 20

Subtract 8  from each side

8 -3x-8 =20 -8

-3x = 12

Divide by -3

-3x/-3 = 12/-3

x = -4

Answer:

[tex] \boxed{\sf x = -4} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: x \: over \: the \: r eal \: numbers:[/tex]

[tex] \sf \implies log(8 - 3x) = log 20[/tex]

[tex] \sf Cancel \: logarithms \: by \: taking \: exp \: of \: both \: sides:[/tex]

[tex] \sf \implies 8 - 3x = 20[/tex]

[tex] \sf Subtract \: 8 \: from \: both \: sides:[/tex]

[tex] \sf \implies 8 - 3x - 8 = 20 - 8 [/tex]

[tex] \sf \implies - 3x = 12 [/tex]

[tex] \sf Divide \: both \: sides \: by \: - 3:[/tex]

[tex] \sf \implies \frac{-3x}{-3} = \frac{12}{-3} [/tex]

[tex] \sf \implies x = - 4[/tex]

ANYONE PLEASE HEEEEEEELLLLLLLPPPPPP!!!!! WILL GIVE BRAINLIEST!!!
Question 4(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct simplification of the expression −3x2(5x − 4x2 − 6). −7x4 + 2x3 − 9x2 12x4 − 15x3 + 18x2 12x4 + 15x3 + 18x2 −12x4 + 15x3 − 18x2

Answers

Answer:

12x⁴ - 15x³ + 18x²

Step-by-step explanation:

1. distribute -3x²

-3x² • 5x = -15x³

-3x² • -4x² = 12x⁴

-3x² • -6 = 18x²

2. combine terms and put in descending order (standard form)

12x⁴ - 15x³ + 18x²

Answer:

12x⁴ - 15x³ + 18x²

Step-by-step explanation:

1. distribute -3x²

-3x² • 5x = -15x³

-3x² • -4x² = 12x⁴

-3x² • -6 = 18x²

2. combine terms and put in descending order (standard form)

12x⁴ - 15x³ + 18x² correct answer would be this

Calculate the volume and surface area of a cone with the base of 20cm, the vertical hieght of 34cm and 35.6cm leaning height. ​

Answers

Answer:

Step-by-step explanation:

Volume = 1/3πr²h

Surface Area = πr(r+√(h²+r²))

V = 1/3π(10)²(34) = 3560 .5 cm³

SA = π(10)(10 + √(34²+10²)) = 1427.5 cm²

Compute the value of each expression |-1||-||5|

Answers

Answer:

5

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1  and  0  is 1

1 |-5|

Multiply  | − 5 |  by 1

The absolute value is the distance between a number and zero. The distance between  − 5  and  0 is  5

Hope this can help

A watermelon weighs 6.45 kilograms. How many grams does the watermelon weigh?​

Answers

Answer:

6450g

Step-by-step explanation:

1kg = 1000g

6.45kg = 6450

The watermelon weighs 6450 grams.

Given that a watermelon weighs 6.45 kilograms.

We need to convert its unit into grams.

To convert kilograms to grams, you need to multiply the weight in kilograms by 1000, as there are 1000 grams in 1 kilogram.

The watermelon weighs 6.45 kilograms, you can use the following formula to convert it to grams:

Weight in grams = Weight in kilograms × 1000

Let's do the math:

Weight in grams = 6.45 kilograms × 1000 = 6450 grams

So, the watermelon weighs 6450 grams.

Learn more about Unit conversion click;

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roberta is 6 times danielles age. in 12 years, roberta will only be 2 times danielles age. how old is danielle now?

Answers

The answer u have been waiting for is 12.

Answer:

the answer is 3

Step-by-step explanation:

10. Write a word problem for this equation:
n ($25) = $125

Answers

Answer:

The word problem is "How many $25 are there in $125?"

Step-by-step explanation:

Given

[tex]n(\$25) = \$125[/tex]

Required

Write a word problem for the expression

We start by solving the given equation

[tex]n(\$25) = \$125[/tex]

Divide both sides by $25

[tex]\frac{n(\$25)}{\$25} = \frac{\$125}{\$25}[/tex]

[tex]n = \frac{\$125}{\$25}[/tex]

[tex]n = 5[/tex]

This implies that there are 5, $25 in $125

Hence; The word problem is "How many $25 are there in $125?"

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