Martin used 1/3 of his inheritance to pay off the mortgage on his house and 3/5 of what was left to purchase a new automobile. How much was left from his total $30,000 inheritance after these two expenditures

Answers

Answer 1

Answer:

12,000

Step-by-step explanation:

Since 1/3 of 30,000 is 10,000, we are left with 20,000. 3/5th of 20,000 is 12,000.


Related Questions

−13.9+ 12.8b =−13.3
Please need help.

Answers

Answer:

b=  =64 /3   =0.046875

Step-by-step explanation:

Answer:

Step-by-step explanation:

The help is needed for these times

Answers

Answer:

This be soooo hard ;w;

Step-by-step explanation:

.w.

A cliff is 80 feet above the sea From the cliff the angle of depression to a boat is 35° How far is the boat from the base of the cliff?

Answers

Answer:

~114.28 feet

I hope it will be useful.

The distance of the boat from the base of the cliff is 114 feet.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Cliff ________________

       \  ) 35°                       |

          \                              |

              \                          |  ( 80 feet )

                   \                     |

                        \                |

                              \          |

                                     \  Boat

     ← ______x________→

(distance of the boat from the base of the cliff)

Now,

tan 35 = 80/x

0.7 = 80/x

x = 80/0.7

x = 114 feet

Thus,

The distance of the boat from the base of the cliff is 114 feet.

         

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Line a is parallel to line b. Which statement about lines a and b is true

Answers

The answer is line a and line b have the same slope. Brainliest please :)

Find the following , giving your answers to 1 decimal place

Answers

Answer:

V=301.4cm^3

A=188.4cm^3

I hope it will be useful.

Answer:

Step-by-step explanation:

I. Volume = 301.6 cm³ (to 1d.p)

II. CSA = 188.5 cm² (to 1d.p)

Step-by-step explanation:

Given the following data;

Height, h = 8cm

Radius, r = 6cm

Curved length = 10cm

a. To find the volume of the cone

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the equation, we have;

Volume = 301.6 cm³ (to 1d.p)

b. The curved surface area of the cone

Where;

CSA is the curved surface area of the cone.

r is the radius of the base of the cone.

l is the curved length of the cone.

Substituting into the equation, we have;

CSA = 188.5 cm² (to 1d.p)

I’m really bad at math I need help again

Answers

Answer:

the answer would be 50 on each side

Step-by-step explanation:

since this shape is an isosceles triangle, the angles on the right and left side would be equivalent! 180-80=100/2=50

Which of the following correctly identifies the vertices that lie on the major
axis of the conic section shown below?
(x+2)^2/49 + (y-1)^2/25 = 1
O A. (-2,-4) and (-2,6)
OB. (-7,1) and (3,1)
OC. (-9,1) and (5,1)
OD. (-2,-6) and (-2,8)

Answers

Answer:

The answer is C: (-9,1) and (5,1). took the test. Good luck!

Step-by-step explanation:

The coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1), so option C is correct.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given equation:

(x + 2)² / 49 + (y - 1)² / 25 = 1

The above equation can be simplified as,

(x + 2)² / 7² + (y - 1)² / 5² = 1

The left side has to be equal to 1, the (x + 2)² / 7² the term has to be equivalent to 1, and the term (y - 1)² / 5² to be equivalent to zero

(y - 1)² / 5² = 0, y - 1 = 0, y = 1

(x + 2)² / 7² = 1

(x + 2)² = 49

(x + 2) = ±7

x = +7 - 2 = 5

x = -7 - 2 = -9

Therefore, the coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1).

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Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x plus 15 for x greater than 5 find f '(x) and give its domain.

Answers

Answer:

D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.

Step-by-step explanation:

Find the complete diagram attached

First we need to get the derivative of the functions

For the function f(x) = 5x - 6

Using the formula

If f(x) = axⁿ

f'(x) = naxⁿ⁻¹

For the function f(x) = 5x - 6

f'(x) = 1(5)x¹⁻¹

f'(x) = 5x⁰

f'(x) = 5

For the function f(x) =x²-2

f'(x) = 2x²⁻¹

f'(x) = 2x

For the function f(x) = 4x+10

f'(x) = 1(4)x¹⁻¹

f'(x) = 4x⁰

f'(x) = 4

Get the domain

The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.

Hence Option D is correct

Answer:

Was the answer above correct????

Step-by-step explanation:

A and Bare mutually exclusive events. P(A) = 0.60 and P(B) = 0.20. What is
P(A or B)?
A. 0.40
B. 0.68
C. 0.12
D. 0.80

Answers

Answer:

D. 0.80

Step-by-step explanation:

P(A or B) = P(A) + P(B)

P(A or B) = 0.60 + 0.20

P(A or B) = 0.80

The probability of P(A or B ) is 0.80.

The correct option is D.

Since A and B are mutually exclusive events, they cannot occur simultaneously.

Thus, the probability of A or B occurring is equal to the sum of their individual probabilities:

P(A or B) = P(A) + P(B)

Therefore, we need to subtract the probability of the intersection of A and B:

P(A and B) = 0 (since A and B are mutually exclusive)

Thus, we have:

P(A or B) = P(A) + P(B) - P(A and B)

Substitute all the given values to the equation,

we get,

= 0.60 + 0.20 - 0

= 0.80

Therefore, the probability of A or B occurring is 0.80 or 80%.

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What letter represents the y-intercept?
x
b
m

Answers

Answer:

The letter that represents the y-intercept is B!

Step-by-step explanation:

It indicates point of intersection between the y-axis and the line.

Hope this helps you alot! Also can you give me a Brainliest?

PLEASE!!!

Work out the size of angle A

Answers

Answer:

size of angle A is 93.19°

What they said ^^ hope that helps

20 points each math answer with optional explination

Which of the following is not a condition that must be met before you can use the quadratic formula to find the solutions of an equation?
Options in picture

Answers

I believe it is B. Correct me if I’m wrong.


I hope this helped!

I would appreciate it if you gave me a Thanks and a brainliest (:

The graph of f(x)=2^x+1 passes through the points (-1 , 1) and (3 , 16).

Rebecca wants to find the average rate of change from x = -1 to x = 3. Here is her work:

3− ( −1) / 16−1 = 4/15
a. Explain Rebecca's error. (2 points)

b. Find the correct average rate of change. (2 points)

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Rebecca's ERROR

Rebecca wrongly used the formula to calculate the average rate of change from x = -1 to x = 3.

She should have used the correct formula to calculate the average rate of change from x = -1 to x = 3 which is:

Average rate = [f(3) - f(-1)] / [3 - (-1)]

But, she reversed the formula.

The correct solution

Considering the graph

[tex]f\left(x\right)=2^x+1[/tex]

Rebecca wants to find the average rate of change from x = -1 to x = 3.

so

at x₁ = -1

[tex]f\left(-1\right)\:=\:2^{-1}+1=\frac{1}{2}+1=\frac{3}{2}[/tex]

at x₂ = 3

[tex]f\left(3\right)\:=\:2^3+1=8+1=9[/tex]

Using the formula, we can determine the average rate of change from x = -1 to x = 3

Average rate = [f(3) - f(-1)] / [ x₂ - x₁]

                      [tex]=\:\frac{\left[9\:-\:\frac{3}{2}\right]}{\left[3-\left(-1\right)\right]}[/tex]

                      [tex]=\frac{\frac{15}{2}}{4}[/tex]

                      [tex]=\frac{15}{8}[/tex]

Therefore, the average rate of change from x = -1 to x = 3 will be:

Average rate = 15/8

sonia is buying presents for her 3 younger brothers she wants each boy to have 4 toys how many toys will she need to buy .
show your work ​

Answers

Answer:

12

Step-by-step explanation:

she has 3 brothers times 4 toys.

Answer:

12 toys

Step-by-step explanation:

She needs to buy 4 toys for 3 people. This means (4) + (4) + (4). This can be written as 4 * 3. This is equal to 12. Therefore, she needs to buy a total of 12 gifts.

please help me on this!!

Answers

Answer:

(a). Music and dance.

(b). Three students.

(c). Hong, Ryan, Lena and Mai

Step-by-step explanation:

a) Hong is not a member of i. music and Dance

b) 2 students which is Eric and Omar

c). Mai , Hong,Ryan and lena

Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?

Answers

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

[tex]a^2+b^2=c^2[/tex]

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.

8/9 divided by -11/2

Answers

KCF
8/9 x -2/11= -16/99
Is the answer

Anita is eating popcorn at the movies. She eats 24 kernels in 10 minutes and 72 kernels in 30 minutes. Which TWO other ratios can represent the rate at which she is eating popcorn?

Answers

Answer:

[tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex]

Step-by-step explanation:

24 kernels in 10 minutes

In 1 minute she can eat [tex]\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}[/tex]

let [tex]x[/tex] be the number of popcorn and minutes so the rate of eating popcorn is of the form

[tex]\dfrac{x12}{x5}[/tex]

So, when [tex]x = 6[/tex] we get

[tex]\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}[/tex]

[tex]x[/tex] can be any real number

[tex]\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}[/tex]

[tex]\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}[/tex]

Other two ratios can be [tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex].

The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determined. (Show complex fraction setup.)

Answers

Answer: [tex]2\dfrac13\text{ miles per hour}[/tex]

Step-by-step explanation:

Given: Distance traveled by Smith = [tex]\dfrac23[/tex] mile.

Time taken = [tex]\dfrac27[/tex]  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

[tex]=\dfrac23\div\dfrac27[/tex]

[tex]\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}[/tex]

Unit rate  = [tex]2\dfrac13\text{ miles per hour}[/tex]

THIS IS DUE TODAY PLS PLS PLS HELP ME ON IT :(

Answers

Answer:

monke

Step-by-step explanation:

monkey

I think its the first and last one. But I could be completely wrong.

If -7 is multiplied by a number greater
than 1, which of the following describes the
result?
F a number greater than 7
G a number between -7 and 7
H a number greater than - 7
J a number less than -7

Answers

Answer:

J

Step-by-step explanation:

What is 70% of 40??????

Answers

Answer:

28

Step-by-step explanation:

hope this helps

Answer:

28

Step-by-step explanation:

70% is equal to 70/100. "of" when used in math means multiplaication.

so we do 70/100 x 40

we can simplify 70/100 to get 7/10.

now we multiply:

7/10 x 40 = 28

What is the domain of f(x) = 3*?

A. All nonnegative real numbers
B. All real numbers
C. All real numbers greater than or equal to 3
D. All real numbers greater than 3

Answers

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=−3 is a straight line perpendicular to the y-axis at point (0,−3) , which means that the range is a set of one value {−3}

Find the equation of the line. Use exact numbers​

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

Again, pick a random point. I chose point (0,7). Then, we see how many units it takes to reach the next point. Let's try it. First, we move down 3 units, rise = -3, then move right 1 unit, run 1. So slope is rise over run, so -3/1 = -3. Then, for the y intercept, just see the y value when x = 0.

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = [tex]\frac{1-7}{2-0}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.

What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches

Answers

Answer:

c

Step-by-step explanation:

The greatest possible whole-number length of the unknown side among the option is 9 inches.

Obtuse triangle

Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.

Triangle inequality theorem:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If the sides of the triangles are x, y and z. Therefore,

x + y > z

x + z > y

y + z > x

Therefore, the greatest possible length among the option is 9.

Proof

12 + 14 > 9

12 + 9 > 14

14 + 9 > 12

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A company donated 4,287 books to a local library. 2,596 of them were fiction. The rest of the books were nonfiction. Amy believes there were 1,691 nonfiction books.

Answers

Answer:

Yes, Amy is right

Step-by-step explanation:

Given that:

Total number of books donated = 4287

Fiction books = 2596

Since the rest of the books are non fiction:

Number of nonfiction books :

Total number of books - number of fiction books

4287 - 2596

= 1691

Please I really need this question answered!!! 20 points!! I’ll give brainliest!

Answers

Answer:

A

Step-by-step explanation:

We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).

Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.

I hope this helps! :)

Answer:

Step-by-step explanation:

Which equation of the least squares regression line most closely
matches the data set?

y = -10.13 +118.8

g =-0.31+37.3

y = –2.3x + 97.9

y = -0.09% +11.5

Answers

Answer:

I wish I knew the answer to this, I asked my grandmother too, she also doesn't know sorry

Henry says that his set of numbers includes all integers. Iliana argues that he is wrong.
(-15, -5 -1.0.2.16
Which is the best way to explain why Iliana is correct?
Olliana is correct because Henry included negative numbers. Negative numbers are not integers.
Olliana is correct because Henry included a fraction. Fractions are not integers.
Iliana is correct because Henry included zero. Zero is not an integer.
Olliana is correct because Henry included a positive number. Positive numbers are not integers.

Answers

B. Iliana is correct because Henry included a fraction. Fractions are not integers.

Answer:

B

Step-by-step explanation:

there are 25 painters an 80% of them are painting the interior how many painters are painting the inside

Answers

Answer:

20 painters are painting the inside

Step-by-step explanation:

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The diagram below shows a boy with his positions above the trampolineWhich best describes the energy the boy has at position 3 just before gravity begins to pull him back down? A)appliedB)Kinetic C)Mechanical D)potential simplifyplzzzzzzzzzzzzzzzzzzzzzzzzzzz Why did the boycott succeed? Were the actions of both the citizens of Montgomery as well as those of the U.S. Supreme Court necessary for its success? 846.27 divided by 0.22 Plant a is 25 ft tall and plant b is 2ft tall.Plant A grows 2ft per week and plant B grows 21/5 feet per week. In how many days will the height of both the plants reach same In a healthcare facility, when is dishonesty acceptable? plants absorb what from the atmosphere through what The volume of a sample gas is 650.ML at 0.00C. What volume will the sample occupy at 75C? What is the following product?(xsqrt7-3sqrt8)(xsqrt7-3sqrt8) _____________ is where Latin languages such as Spanish and Portuguese are spoken.North AmericaLatin AmericaCentral AmericaSouth America QUICK HELP MEEE get this right pls :( 467123When population growth increases in an area, what is happening to the birth rate and age structa. increasing birth rate with a greater number of young organismsb. increasing birth rate with a smaller number of old organismsc. increasing birth rate with a smaller number of young organismsd. increasing birth rate with a greater number of old organismsPlease select the best answer from the choices providedBO C What is the measure of AC (the minor arc)? Imagine that this chart showed the population in the 1800s as well. What would the population be in 1870 if it showed 7.25 stick figures?A)The population was less than 7 million.B)The population was 7.25 million.C)The population was 72.5 million.D)The population was 725 million. An auto repair shop orders cleaning rags in batches of 160 boxes. This inventory is depleted at a constant rate and new rags are ordered to arrive exactly when the on-hand inventory of rags reaches zero boxes. What is the average inventory level over time? If ABCD is dilated by a factor of 2, the coordinate of d would be: D FileC:/Users/tonia/Desktop/YEAR%201.2/ADVANCED%20CALC/BSM%201207%HighlightErase+Draw2A' Read aloudb) A project has the following activities and other characteristics:Activity Preceding MostMostactivity optimistic likelyMostpessimisticABDEFGH1AC .DBE,FG4.162.53317512511694191615308171527728Requiredi) Draw the PERT network diagram.Identify the critical pathDetermine the mean project completion time.iv) Find the probability that the project is completed in 36 weeks.(16 marks)P100% 14here to search Office Depot has leveraged its store, website, and catalog channels with impressive results. The promotion of all three information and delivery channels indicates that Office Depot would like its customers to think of all of its channels as Office Depot. Office Depot is likely following a(n) __________ strategy. Look at the image of immigrants arriving at Ellis Island.Which item of clothing was commonly worn byimmigrants arriving at Ellis Island?O hatO vestO short pantsO long coat help plz thx soo much