Real estate values in a town are increasing at a rate of 9% per year.


Mr. Townsend purchased a building for $375,000 in 2010.


How much can he expect to sell the building for in 2020, assuming this trend continues?


Enter your answer in the box.


Round to the nearest whole dollar.


$

Speed is the rate of change of distance over time.

It will take [tex]\mathbf{2.20 \times 10^{2}}[/tex] minutes to get to Pluto.

The given parameters are:

[tex]\mathbf{Speed = 1.17 \times 10^7 miles/mins}[/tex]

[tex]\mathbf{Distance = 3670000000 miles}[/tex]

Speed is calculated as:

[tex]\mathbf{Speed = \frac{Distance}{Time}}[/tex]

Make Time the subject

[tex]\mathbf{Time = \frac{Distance}{Speed}}[/tex]

Substitute values for Speed and Distance

[tex]\mathbf{Time = \frac{3670000000\ miles}{1.17 \times 10^7 miles/mins}}[/tex]

[tex]\mathbf{Time = \frac{3670000000\ mins}{1.17 \times 10^7 }}[/tex]

Rewrite as:

[tex]\mathbf{Time = \frac{3.67\times 10^9\ mins}{1.17 \times 10^7 }}[/tex]

Apply law of indices

[tex]\mathbf{Time = \frac{3.67\times 10^{9 - 7}\ mins}{1.17}}[/tex]

Divide

[tex]\mathbf{Time = 2.20 \times 10^{2}\ mins}[/tex]

Hence, it will take [tex]\mathbf{2.20 \times 10^{2}}[/tex] minutes to get to Pluto.

Read more about speed and rates at:

https://brainly.com/question/359790

Answer:

D

Step-by-step explanation:

The value of the trigonometric expression cos θ, when (-5, -4) is a point on the terminal side of θ is -5√41/41. Hence, option D is the right choice.

Trigonometric expressions are the ratios of the sides of a right triangle, which are always constant despite the increase or decrease in the size of its sides.

These are the trigonometric ratios:

In the question, we are asked to find the value of cos θ, given that (-5, -4) is a point on the terminal side of θ.

This means that we; are in quadrant III. As we know, cos θ is negative in the 3rd quadrant.

The base is the distance of the x-coordinate from the origin, that is, 5 units.

The perpendicular is the distance of the y-coordinate from the origin, that is, 4 units.

By Pythagoras' Theorem,

Hypotenuse² = Base² + Perpendicular²,

or, Hypotenuse² = 5² + 4²,

or, Hypotenuse² = 25 + 16,

or, Hypotenuse = √41.

As we know, cos θ = Base/Hypotenuse = 5/√41 = 5√41/41.

Because of the 3rd quadrant, we will take, cos θ = - 5√41/41.

Thus, the value of the trigonometric expression cos θ, when (-5, -4) is a point on the terminal side of θ is -5√41/41. Hence, option D is the right choice.

Learn more about trigonometric expressions at

https://brainly.com/question/19770283

#SPJ2

Answer:

2(n + 3) - 6 is the expression that represents the final number.

Step-by-step explanation:

-Given the number Lonnie thinks of at the beginning is 'n'-

1) adding 3 to n

sum = n + 3

2) multiply the sum by 2

sum = 2(n + 3)

3) subtract 6

sum =  2(n + 3) - 6.

Answer: 2(n + 3) - 6

Step-by-step explanation:

Answer:

18 minutes

Step-by-step explanation:

To do this, you need to divide 12 by the two thirds to find out how many 2/3 there are in 12, giving the amount of minutes it takes:

12 ÷ 2/3 = 18

So it would take him 18 minutes!

Answer:

A. Sinea spends $26 on games, she wants to keep the same ratio, how much does she spend on souvenirs?

A- (snacks- 16.25) (games- 26) (souvenirs- 39)

B. Ren spends $5 on souvenirs, he wants to keep the same ratio, how much does he spend on snacks

B- (snacks- 2.5) (games- 2) (souvenirs- 5)

C. Both spend $40 on snacks, they want to keep their original ratio, who spends more on souvenirs?

C. Ratios

Sinea- (snacks- 40) (game- 64) (souvenirs- 96)

Ren- (snacks- 40) (game- 32) (souvenirs- 80)

Answer:

B

Step-by-step explanation:

Javi [5 1]

Victor [3 2]

Chris [4 2]

A.

[10 1]

[6 2]

[8 2]

B.

[10 2]

[6 4]

[8 4]

C.

[7 3]

[5 4]

[6 4]

D.

[10 1]

[3 2]

[4 2]

Answer:B. [10 2]

[6 4]

[8 4]

Step-by-step explanation:

Javi [5 1]

Victor [3 2]

Chris [4 2]

A.

[10 1]

[6 2]

[8 2]

B.

[10 2]

[6 4]

[8 4]

C.

[7 3]

[5 4]

[6 4]

D.

[10 1]

[3 2]

[4 2]

Explanation:

As a general rule, to double, triple or as the case may be, the result of a matrix, we apply what is known in Maths as scalar multiplication.

Scalar multiplication seeks to multiply the entries in a matrix by a scalar. The resulting matrix is called the scalar product of the original matrix.

For instance:

Let matrix A = [a b] [c d] and k be a scalar.

The matrix kA is called a scalar product of the matrix, A and the constant, k is defined as:

kA = k [a b] [c d]

= [ka kb] [kc kd]

So, for the given question, the best option would be the matrix that depicts a scalar multiple of 2 of the original matrix entry. Option B.

I.e:

Javi = 2[5 1] = [2*5 2*1] = [10 2]

Victor= 2[3 2] = [2*3 2*2] = [6 4]

Chris = 2[4 2] = [2*4 2*2] = [8 4]

Answer:

2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.

3) [tex]\bar{SH}\cong \bar{ST}[/tex] as it is given in the question.

4) [tex]\bar{SD}\cong \bar{SD}[/tex]  is the reflexive property.

5) ΔSHD ≅ ΔSTD by RHS congruency.

Step-by-step explanation:

Given in the question:

[tex]\bar{SH}\cong \bar{ST}\\\bar{SD}\perp \bar{HT}[/tex]

In ΔSHD and ΔSTD

[tex]\bar{SH}\cong \bar{ST}[/tex]   (Given)

[tex]\angle SDH\cong \angle SDT=90^o[/tex]    (SD ⊥ HT)

[tex]\bar{SD}\cong \bar{SD}[/tex] (Common)

Therefore, [tex]\Delta SHD\cong \Delta STD[/tex]   (By RHS rule)

Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is [tex]\bar{SD}\cong \bar{SD}[/tex]

Answer:

We have

seats x ( 62 / 100 ) = (seats - 17,100);

seats x 62 = 100 x (seats - 17,100);

seats x 62 = seats x 100 - 1710000;

1,710,000 = seats x 38;

seats = 1,710,000 ÷ 38;

seats = 45,000;

The correct answer is c. 45,000 seats;

Step-by-step explanation:

45, 000 A for plato users

Step-by-step explanation:

Trust me im Master chief

Answer:

c) an = -13+7(n-1)

Step-by-step explanation:

We can use the formula for arithmetic sequences

an =a1+d(n-1)

where a1 is the first term in the sequence

d is the common difference

and n is the term number

a1 is -13

d is found by taking the second term and subtracting the first term

d = -6--13

  = -6+13

d=7

We are adding 7 each time

Substituting what we know,

an = -13 + 7(n-1)

The answer is:

Answer: 63 miles per hour (mph)

6 hours + 45 minutes = 6 hrs + 0.75 hrs = 6.75 hrs

Divide the distance (425 miles) over the time (6.75 hours) to get the speed. You must convert the time value to a single unit rather than a mixed unit of hours and minutes. So we get 425/6.75 = 62.96926 which rounds to 63

Answer:

1. [tex]\sqrt[3]{4^2}[/tex]

2. Answer A

Step-by-step explanation:

1. A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.

[tex]4^{\frac{2}{3} }[/tex]

[tex]\sqrt[3]{4^2}[/tex]

2. An exponential always crosses at (0,1) This function crosses at (0.6) meaning it has shifted up 5 units or +5. These means only answer options A and D are possible solutions. Also, since the graph starts high and ends low and leveling out, this means the base is less than 1. Only 3/4 is less than 1. Answer A is the solution.

Answer:

The graph in the first picture which intercepts the y-axis at (0,-6) and has a positive slope of 2.

Step-by-step explanation:

We can write the linear equation into slope-intercept form. We do this by simplifying and isolating y.

y+4=2(x-1)

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

y+4=2x-2

y+4-4=2x-2-4

y=2x-6

In y=mx +b form, we can connect the equation to the graph. This equation has b=-6 or (0,-6) for the y-intercept. It also has m=2 for the slope. This is the first graph.

Divide the new X value by the original x value:

6 / 2 = 3

Then check that with the Y value:

Original Y value = 6, 6 x 3 = 18, which is the new Y value.

This means the scale factor is 3.

Let us Represent the Line A in the Standard form : y = mx + c

where : m is the Slope of the Line and c is the y-intercept

Given : Equation of Line A is 2x + 3y = 10

[tex]\bf{\implies y = \frac{-2}{3}x + \frac{10}{3}}[/tex]

Comparing with the Standard form, We can notice that :

Slope of Line A [tex]\bf{= \frac{-2}{3}}[/tex]

We know that : Parallel lines have Same Slope

Given : Line A and Line B are Parallel

⇒ Slope of Line B [tex]\bf{= \frac{-2}{3}}[/tex]

Given : Line B passes through the Point (-6 , 8)

We know that : Equation of a Line passing through a Point (x₀ , y₀) and having Slope 'm' is given by : y - y₀ = m(x - x₀)

Here : x₀ = -6 and y₀ = 8 and Slope(m) [tex]\bf{= \frac{-2}{3}}[/tex]

Equation of Line B is :

[tex]\bf{\implies y - 8 = \frac{-2}{3}(x + 6)}[/tex]

⇒ 3y - 24 = -2x - 12

⇒ 2x + 3y = 12

Answer:

(B): (x - 2)/(x + 1)

Step-by-step explanation:

The numerator is x^2 + 5x - 14. That is equal to (x - 2)(x + 7).

The denominator is x^2 + 8x + 7. That is equal to (x + 1)(x + 7).

You can then eliminate (x+7) to get (x - 2)/(x + 1).

Answer: B

Step-by-step explanation:

 [tex]\dfrac{x^{2}+5x-14}{x^{2}+8x+7}[/tex]

[tex]=\dfrac{(x+7)(x-2)}{(x+7)(x+1)}[/tex]

[tex]=\dfrac{(x-2)}{(x+1)}[/tex]

Answer:

4. 8.8 years

5. 8.6 meters

Step-by-step explanation:

4. The process of solving the equation f(x) = g(x) gives rise to a 4th-degree equation. Those are best solved using some sort of machine solver. A graphing calculator is often a good place to start. If you're going to do that anyway, you may as well start with a graphical solution to the question.

A plot of the two curves finds they intersect at about x = 8.8. (See the first attachment.) This avoids the extraneous solutions introduced by the process of eliminating the radical.

___

5. Analytical solution is simpler here, but the graphing calculator is faster yet. It shows the two rocks are at the same height at 8.6 meters (if they're launched at the same time).

... f(x) = g(x)

... -4.9x^2 +17 = -4.9x^2 +13x

... 17 = 13x . . . . . add 4.9x^2

... 17/13 = x . . . . time when rocks meet

... f(17/13) = -4.9(17/13)^2 +17 = -1416.1/169 +17 ≈ 8.62071

... f(17/13) ≈ 8.6 . . . . height at which rocks meet

Answer:

6 hrs 36 mins

Step-by-step explanation:

Bus at 6:55

Minutes to get to the bus 19.

deduct 19 Minutes from 6:55 = 6 hrs 36 mins  

[tex]x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{The domain:} x\neq-4\ and\ x\neq1\\\\canceled\ (x+4)\\\\f(x)=\dfrac{x+3}{-(x-1)}=-\dfrac{x+3}{x-1}\ for\ x\neq-4\ and\ x=1[/tex]

Answer:

12 Fetches

Step-by-step explanation:

this one is easy but you probably overthought it,

since 2 is half of 4 then you would just multiply everything by 2

let's just say that didn't work right, for these types of problems you have to make a proportion so in this case it would be 2 minutes/6 fetches= 4 minutes/ x fetches. then you solve by cross multiplication.

Answer:

1. Translation 6 units to the right.

2. Stretch by a factor 5.

3. Translation 2 units up.

Step-by-step explanation:

Consider parent function [tex]f(x)=x^2.[/tex]

1. Translate the graph of the function 6 units to the right. Then you get the function [tex]f_1(x)=(x-6)^2.[/tex]

2. Stretch the graph of the function  [tex]f_1(x)=(x-6)^2[/tex] by a factor 5 and get the function [tex]f_2(x)=5(x-6)^2.[/tex]

3. Translate the graph of the function [tex]f_2(x)=5(x-6)^2[/tex]  2 units up to fet the function [tex]h(x)=5(x-6)^2+2.[/tex]

Answer: P = 4w + 4

Step-by-step explanation:

width (w) = w

length (L) = w + 2  (2 more than its width)

Perimeter (P) = 2L + 2w

P = 2L + 2w

  = 2(w + 2) + 2(w)

  = 2w + 4   +  2w

  = 4w + 4

Answer:

The graph is translated three units down.

Step-by-step explanation:

We know that, a 'Translation' is an transformation where the figure or graph is shifted in any direction.

According to our question (x,y) becomes (x, y-3) , this means that the graph value of 'x' co-ordinate remains same and the value of 'y' co-ordinate is decreased by 3 units.

So, the graph is shifted three units downwards i.e. it is translated three units down.

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

[tex]20w+40=700[/tex]

Let us subtract 40 from both sides of equation.

[tex]20w+40-40=700-40[/tex]

[tex]20w=660[/tex]

Upon Dividing both sides of our equation by 20 we will get,

[tex]\frac{20w}{20}=\frac{660}{20}[/tex]

[tex]w=\frac{660}{20}[/tex]

[tex]w=33[/tex]

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

Answer:

11x+8 cm = Perimeter

Step-by-step explanation:

A triangle has 3 sides.  We add up all three sides to get the perimeter.

s1+s2+s3 = Perimeter

(x+4) +( 3x+1) + (7x+3) = Perimeter

Combine like terms

11x+8 = Perimeter

Answer:

P = 11x + 8 cm

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of the three sides.

... P = s1 + s2 + s3

... P = (x +4 cm) +(3x +1 cm) +(7x +3 cm) . . . . substitute for s1, s2, s3

... P = x(1 +3 +7) + cm(4 + 1 + 3) . . . . . . collect terms

... P = 11x + 8 cm

Answer:

Equation for the quadratic model for the data set is;

[tex]y = 1.0774x^2-0.9393x+0.6905[/tex]

Step-by-step explanation:

A Quadratic regression is the process of finding the equation of the parabola that best fits the set of data.

An equation is in the form of: [tex]y=ax^2+bx+c[/tex] where a≠0.

You just enter the x-coordinates and y-coordinates in your graphing calculator and

then do a quadratic regression.

The equation of the parabola that best approximates the points is

:

[tex]y = 1.0774x^2-0.9393x+0.6905[/tex]

Now, plot the graph of the above equation as shown below in the figure.

Also you can see that the [tex]R^2[/tex] value for the above data is, 0.994

Answer:

C. Tiffany, born in 1973 in Nebraska, has lived in the U.S. for 45 years

Step-by-step explanation:

its right bro

Answer:

axis of symmetry   x=3/2

vertex  (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c

h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

y=4x^2-12x+9

y=4(3/2) ^2-12(3/2)+9

 = 4 (9/4)  - 6*3 +9

  = 9-18+9

  = 0

the vertex (3/2, 0)