Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house

Answer:

4.1 sec

Step-by-step explanation:

-9.8t^2 +38.2t + 6.5 = 0

t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]

 =  [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]

 = [tex]\frac{-79.6}{-19.6}[/tex]

 = 4.1

The rocket will hit the ground at 0.2 seconds

The function is given as:

[tex]h=-9.8t^2+38.2t+6.5[/tex]

When the missile hits the ground, the value of height is 0

This means that:

[tex]h = 0[/tex]

So, we have:

[tex]-9.8t^2+38.2t+6.5 = 0[/tex]

Next, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

From the attached graph, we have:

[tex]t = (0.163, -4.061)[/tex]

Approximate

[tex]t = (0.2, -4.1)[/tex]

Time cannot be negative.

So, we have:

[tex]t = 0.2[/tex]

Hence, the rocket will hit the ground at 0.2 seconds

Read more about height functions at:

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Answer:

I think C

Step-by-step explanation:

Answer:

Sponges

Step-by-step explanation:

sponges are permanantly attached to an area in the water, making them sessile

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

Answer:

Y=5(x) Yes it is porportional.

Step-by-step explanation:

So lets look at the graph.

We first have 1x = 5y

Well, that makes it seem like for each x there are 5 y.

Lets see the other values:

2x = 10y

Divide both sides by 2 tog et x alone:

1x=5y

Again, for each x, there are 5y.

This is true for each one:

3x=15y

=

1x=5y

4x=20y

=

1x=5y

5x=25y

=

1x=5y

and finally:

6x=30y

=

1x=5y.

So yes, this is poroportional.

It can be shown as x=5y, since for a single x, there are 5 y's.

Hope this helps!

Answer: Measure of what?

Answer:

measurement of what-?

Answer:

The average rate of change is: 0.25

Step-by-step explanation:

Given

See attachment for graph

Required

The average rate of change between 1930 and 1950

Average rate of change (m) is calculated as:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

In this case,

[tex][a,b] = [1930,1950][/tex]

So, we have:

[tex]m = \frac{f(1950) - f(1930)}{1950 - 1930}[/tex]

[tex]m = \frac{f(1950) - f(1930)}{20}[/tex]

From the attached graph;

[tex]f(1950) = 45[/tex]

[tex]f(1930) = 40[/tex]

So, we have:

[tex]m = \frac{45- 40}{20}[/tex]

[tex]m = \frac{5}{20}[/tex]

[tex]m = 0.25[/tex]

Answer:

59 + 163 + x = 360

(cus a circle is 360 degrees ya feel me boi?)

x = 360 - 59 - 163

x= 138

Don't do drugs kids. Stay in school. Chase morality.

Step-by-step explanation:

Answer:

1. +17°

2.x=138°

Step-by-step explanation:

1. (Counted on my fingers lol -8 to 9)

2. 163+53=222

360-222=138

Answer:

D) 2x + y = 4

Step-by-step explanation:

2x + y = -6 and 2x + y = 4 will not have any solution because -6 ≠4

Answer:

The distance from point A to B that Haley needs for the pole to be perpendicular is:

Step-by-step explanation:

To solve this exercise, imagine that it is a triangle, where the height is the pole, which is 10 feet, and the base of the triangle is the distance between the base of the pole and the point located by Jalen and called C, which it would have a measurement of 6 feet, finally, the measurement between A (the point located six feet) and B (the highest part of the pole) would correspond to the hypotenuse of a triangle,

Therefore, having these two measures, you could use the Pythagorean theorem to find the hypotenuse of a triangle with those measures and solve it, remember that the Pythagorean theorem is:

We replace the values given in the exercise:

In this form, Jalen can be sure the pole is perpendicular to the ground when the distance from point A to B is 11.66 ft approximately.

The length of the side : 5.75

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the given figure, we get,

Explanation:

Let the unknown side = X

Cos() = adj/hyp

Cos(44)= X/8

X= 5.75

hence, The length of the side : 5.75.

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Answer:

help me with this please

Answer:

(45÷9) - 3

5-3

=2 is a required answer

hope it is helpful to you

Answer:

y = 1/2x + 2

Step-by-step explanation:

for x=10, y=7

for x=20, y=12

for x=30, y=17

y = 1/2x + 2

Answer:

D

Step-by-step explanation:

I solved this by hand;

Answer:

−

4

−

5

1

√

5

x=\frac{-4-\sqrt{51}}{5}

x=5−4−51

=

−

4

+

5

1

Answer:

C. no solutions

Answer:

The first question provided (question 11)

The answer is $118.00

The second question provided (question 12)

The answer is 20 seconds

Step-by-step explanation:

The first question provided (question 11)

The equation 5a + 3c is provided to determine the cost of a catering event, where a is the number of adults and c is the number of children.

It is stated that there are 17 adults and 11 children attending an event.

You can substitute in the 17 adults in place of a and the 11 children in place of c.

This will leave you with 5(17) + 3(11).

If you simplify you will get 85 + 33, which is equal to 118

Therefore, the answer is $118.00.

The second question provided (question 12)

The equation s = 5w is provided to determine how far behind a clock is after a certain amount of time, where s is seconds behind and w is the number of weeks sice the clock was last set.

You are given the clock was set 4 weeks ago.

You can subsitute the 4 weeks into the equation in place of variable w.

This leaves you with s = 5(4).

Simplifying this further, you will get s = 20.

Therefore, the clock is 20 seconds behind.

Answer:

Step-by-step explanation:

An outlier does not affect measures of central tendency. ... An outlier is always the highest or lowest value in a data set.

it says SELECT ALL THAT APPLY.

so there will be more then one Answer

so D AND C

HOPES THIS HELPS

The mean is considered as one of the measures of central tendencies in statistics. Then the correct option is B.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics.

Then the correct option is B.

More about the statistics link is given below.

https://brainly.com/question/10951564

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Answer:

a = 6

Step-by-step explanation:

7a-17 = 4a +1 ; Subtract 4a from both sides

3a - 17 = 1 ; Add 17 to both sides

3a = 18 ; Divide both sides by 3

a = 6

7a-17=4a+1

7a-4a=1+17

3a=18

a=6

Answer:

11.5 I think??

Step-by-step explanation:

11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5

Answer 10 hours

Explain

Answer:

6.1*10^-6

Step-by-step explanation:

Acellus

Answer:

28 Nickels

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

Answer-

4/5 + 4/5

4/5 + 1/5 + 3/5

Answer:

144m2

Step-by-step explanation:

I think very carefully on my brain is it cirrect?