Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. Ben has $5,000 in savings and a balance of $1,400 on his credit cards. There is a balance of $20,000 owed on Ben’s car which is valued at $38,000. What is Ben’s net worth? a. $96,600 b. $97,600 c. $99,400 d. $106,600

Answer:

17 inches.

Step-by-step explanation:

If the area of a rectangle is the product of its length and width, then;

Area of a rectangle = Length × Width

Given that the width of the poster is greater than 10 inches and is prime, this means and W>10

Area of the rectangle = 204in²

On substituting the values in the formula;

A = LW

204 = LW

Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.

Let's test each values of the prime width that will give a length that is a whole number.

If W = 11

204 = 11×L

L = 204/11

L = 18.54

Since the length didn't give us a whole number, this means our width is not 11.

If W = 13

204 = L × 13

L = 204/13

L = 15.69

Also, we can see that the length is not also a whole number for the value of 13 as the prime width.

If W = 17

204 = L × 17

L = 204/17

L = 12

It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.

Answer:17 inches

Step-by-step explanation:

Step-by-step explanation:

Use segment addition/subtraction:

GK = GJ − HJ + HK

GK = 2x + 5 − x + 4x − 1

GK = 5x + 4

If GK = 39, then the value of x is:

39 = 5x + 4

5x = 35

x = 7

Use segment subtraction to find GH and JK.

GH = GJ − HJ

GH = 2x + 5 − x

GH = x + 5

GH = 12

JK = HK − HJ

JK = 4x − 1 − x

JK = 3x − 1

JK = 20

Answer:

The square root of numbers like 4, 9, and 16 is a square number.

Answer:my profile pic is a throwing dart not a ding dong dirty

Step-by-step explanation:

Answer:

quantitative

Step-by-step explanation:

Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.

Pounds gained by people in your class during the first month of the semester is 2. Quantitative type of data.

In Statistics, Data Types play a very crucial and important role, which needs to be understood, to apply statistical measurements correctly to your data so that we can correctly conclude certain assumptions about the data.

They are Numerical data, Ordinal data, and Categorical data.

Given, Pounds gained by people in your class during the first month of the semester can be represented as numbers so it is a numerical or

Quantitative data.

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Answer:

6v⁴ - 5v - 15

Step-by-step explanation:

Step 1: Write out expression

-8v + 6v⁴ - 8 + 3v - 7

Step 2: Combine like terms (v)

6v⁴ - 5v - 8 - 7

Step 3: Combine like terms (constants)

6v⁴ - 5v - 15

Answer:

h(1) = 1, h(2) = 3, h(3) = 4

Step-by-step explanation:

Given function h(x)

Need to find :

h(1) falls under the second condition as -2 ≤1<2:

h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:

Answer:

yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)

Step-by-step explanation:

Answer:

(x, y) → (x + 6, y + 13)

Step-by-step explanation:

Let's use one of the points to determine the transition:

Transition:

So the rule is:

Answer:

up 13 , right 6

Step-by-step explanation:

up 13 , right 6

E(-8,-3)

right 6 for x : -8+6=-2

up 14 for y : -3+13=10

E'(-2,10)

for D : (-5,-7)

right 6 : -5+6=1

up 13 : -7+13=6

D'(1,6)  and E'(-2,10)

Answer:

A (12, 24)

Step-by-step explanation:

The pattern in the ordered pair is (Add 3, Times itself)

Answer:

-4-5

Step-by-step explanation:

The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5

Answer:

The correct answer is -4 - 5.

Step-by-step explanation:

The original temperature is -4 degrees.  Then, the temperature falls by 5 degrees.  The temperature "falling" means that it is getting colder or that the temperature is getting lower.  This lets us know that we need to use subtraction.  The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.

Hope this helps!

Answer:

-23

Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.

Complete question :

A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:

City - - - - - Price ($) -- - Sales

River City - - 1.30 - - - - - - 100

Hudson - - - 1.60 - - - - - 90

Ellsworth - - - 1.80 - - - - - 90

Prescott - - - - 2.00 - - - - 40

Rock Elm - - 2.40 - - 38

Stillwater - - 2.90 - - 32

Answer:

78.39%

Step-by-step explanation:

what is the percentage of the total variation in candy bar sales explained by the regression model?

The question could be interpreted as meaning the percentage of the total variation in the dependent variable (candy bar sales) which can be explained by the regression model. Hence the independent variable is price. This variance can be known by calculating the Coefficient of determination (R^2) value of the regression model.

To save computation time, the R^2 value can be obtained using an online Coefficient of determination calculator.

To obtain the R^2 value, the values of the dependent and independent variables are entered. The R^2 value obtained is : 0.7839

Therefore the total proportion of variance in candy bar sales explained by the regression model is 0.7839 which is equivalent to:

(0.7839 * 100) = 78.39%

Answer:

[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Step-by-step explanation:

The given data set is

45, 47, 23, 30, 27, 31, 21, 31, 22, 38

Arrange the data is ascending order.

21, 22, 23, 27, 30, 31, 31, 38, 45, 47

Divide the data in 4 equal parts.

(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)

Now,  

Minimum value = 21

First quartile, [tex]Q_1=23[/tex]

Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]

Third quartile, [tex]Q_3=38[/tex]

Maximum value = 47

Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

D. Automatic withdrawal

May I have brainliest please? :)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(r + 1) = 20.3}[/tex]

Distribute 7 through the parentheses

⇒[tex] \sf{7r + 7 = 20.3}[/tex]

Move 7 to right hand side and change it's sign

⇒[tex] \sf{7r = 20.3 - 7}[/tex]

Subtract 7 from 20.3

⇒[tex] \sf{7r = 13.3}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7r}{7} = \frac{13.3}{7} }[/tex]

Calculate

⇒[tex] \sf{r = 1.9}[/tex]

Hope I helped!

Best regards!!

r is 1.9

Solve  7(r+1) = 20.3

Remove the brackets by dividing both sides by 7:

7(r+1) / 7 = 20.3 / 7

r + 1 = 2.9

Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:

r = 2.9 - 1

r = 1.9

r is therefore 1.9

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Answer:

1119744

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

[tex]\frac{6^{14}}{(2^5)(3^7)}[/tex]

Step 2: Evaluate exponents

6¹⁴ = 78365164096

2⁵ = 32

3⁷ = 2187

Step 3: Replace

[tex]\frac{78364164096}{32(2187)}[/tex]

Step 4: Multiply

[tex]\frac{78364164096}{69984}[/tex]

Step 5: Divide

1119744

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 + x - 6x = - 5}[/tex]

Collect like terms

⇒[tex] \sf{5 - 5x = - 5}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]

Calculate

⇒[tex] \sf{ - 5x = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{x=2}[/tex]

Step-by-step explanation:

[tex]5+x-6x=-5[/tex]

Combining like terms.

[tex]5-5x=-5[/tex]

Subtracting 5 from both sides.

[tex]-5x=-10[/tex]

Dividing both sides by -5.

[tex]x=2[/tex]

Answer:

x= 1.5

Step-by-step explanation:

According to the question

10x = 15

x = 15 / 10

x = 1.5

Answer:

x=1.5

Step-by-step explanation:

Isolate x on one side of the equation by dividing both sides by the factor 10:

[tex]10x=15\\\frac{10\,x}{10} =\frac{15}{10}\\x=1.5[/tex]

Answer:

Divide −x - x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x3 f - 1 ( x ) = - x 3 is the inverse of f(x)=−3x f ( x ) = - 3 x

Answer:

7/10x hope it helps

Answer:

23

Step-by-step explanation:

1

14

+ 9

--------

2 3

hope this helps

The depth of Sam's from the surface is 23 feet.

We are given that Ben and Sam are diving in a lake.

Ben and Sam are 14 feet below the surface.

But after a while, Ben spots Sam 9 feet directly below him.

We have to find sam's depth from the surface.

Let the depth at which both Ben and Sam were diving in the lake be X.

i.e X = 14 feet.

Let the depth of Sam from Ben be Y.

i.e Y = 9 feet.

Now Sam's depth from the surface would be:

= X + Y

= 14 + 9

= 23 feet.

Thus, the depth of Sam's from the surface is 23 feet.

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Answer:

$240

Step-by-step explanation:

If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.

Answer:

he could by 2 pounds and still have a dollar left over because

15 11 6

-4 -5 -5 so yeah

11 6 1

Answer:

The answer is -0.1

Step-by-step explanation:

You just need to calculate it in a calculator

Hope it helps :)

Answer:

Step-by-step explanation:

y - 5 = 8

y = 13

Divide 4 by 15:

4/15 = 0.2666666

Some of the possible rounding are: 0.267, 0.27 or 0.30

Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].

Step-by-step explanation:

Any sphere centered at [tex](h,k,s)[/tex] in an Euclidean space with a radius [tex]r[/tex] is represented by the following formula:

[tex](x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}[/tex]

If [tex](x,y,z) = (7,1,-3)[/tex] and [tex](h,k, s) = (5,6,5)[/tex], the radius of the sphere is obtained:

[tex](7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}[/tex]

[tex]r^{2} = 93[/tex]

[tex]r = \sqrt{93}[/tex]

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].