What is the slope of the line?

The monthly rent of the apartment in the 10th year is  $1041.67.

The first step is to determine the yearly rent in the first year of living in the apartment.

Yearly rent = $900 x 12 = $10,800

The second step is to determine the yearly rent in the 10th year

$10,800 + (170 x 10) = $12,500

The third step is to determine the monthly rent

Monthly rent = $12500 / 12 = $1041.67

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

243

Step-by-step explanation:

Answer :

2 hours 36 minutes

Step-by-step explanation :

speed = distance / time

Distance = 150 km

time = 1 hour 30 minutes

= 1,5 hours

[tex]speed = \frac{150 \: km}{1.5 \: hours} [/tex]

[tex] speed = 100 \: km/hour[/tex]

How long will it take the car to cover a distance of 260 km at the same average speed ?

Time = Distance/Speed

= 260 km / 100 km/hour

= 2,6 hours

____________________

to convert hours to hours and minutes we can multiply by 60.

2, 6 hours

2 hours and 0,6 hours

0,6 = 3/5

3/5 × 60

60 ÷ 5 × 3

36 minutes

2,6 hours = 2 hours 36 minutes

Answer:

s²+2s-80

Step-by-step explanation:

First (first in each parentheses)

Outside (the two terms on the outside of the expression)

Inside (the two terms in the inside of the expression)

Last (last in each parentheses)

An example:

(a+b)(c+d)=ac+ad+bc+bd

Therefore...

(s+10)(s-8)=(s)(s)+(s)(-8)+(10)(s)+(10)(-8)=s²-8s+10s-80=s²+2s-80

Answer:

[tex]\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Step-by-step explanation:

Hey there! To find a tangent line of curve at specific point, we have to differentiate a given function. This is because a tangent line has same slope as the specific point and slope is equivalent to dy/dx.

From a given function, we can write as [tex]\displaystyle \large{f(x) = 6x^{-1}}[/tex] via law of exponent where [tex]\displaystyle \large{a^{-n}=\frac{1}{a^n}}[/tex] .

Then differentiate with respect to x using power rules.

Power Rules

For every differentiatable continuous functions, if [tex]\displaystyle \large{f(u) = u^n \to f\prime (u) = nu^{n-1} \cdot u\prime}[/tex] for u is any function and n is all real number.

Therefore:-

[tex]\displaystyle \large{f(x) = 6x^{-1}}\\\displaystyle \large{f\prime(x) = (-1)(6)x^{-1-1} \cdot x\prime}\\\displaystyle \large{f\prime(x) = -6x^{-2} }[/tex]

Therefore, our derived function is [tex]\displaystyle \large{f\prime(x) =- 6x^{-2}}[/tex]

Then substitute x = -2 in a derived function or slope.

[tex]\displaystyle \large{f\prime(-2) = -6x^{-2}}\\\displaystyle \large{f\prime(-2) = -6(-2)^{-2}}\\\displaystyle \large{f\prime(-2) = -6 \cdot \frac{1}{(-2)^2}}\\\displaystyle \large{f\prime(-2) = -\frac{6}{4}}\\\displaystyle \large{f\prime(-2) = -\frac{3}{2}}[/tex]

Therefore, the slope at x = -2 is -3/2.

Now we have to use point-slope formula to find the equation of tangent line.

Point-Slope

[tex]\displaystyle \large{y-y_1 = m(x-x_1) \to y-f(x_1) = f\prime (x_1)(x-x_1)}[/tex]

We may have to find the (x,f(x)) coordinate first. We know x = -2 but we don’t know f(x) coordinate at x = -2 yet. We substitute x = -2 in f(x) to find f(-2).

[tex]\displaystyle \large{f(-2) = \frac{6}{-2}}\\\displaystyle \large{f(-2) = -3}[/tex]

Therefore, our coordinate is (-2,-3).

Substitute in point-slope form.

[tex]\displaystyle \large{y-(-3)=-\frac{3}{2}(x-(-2))}\\\displaystyle \large{y+3=-\frac{3}{2}(x+2)}[/tex]

Then convert to slope-intercept form by isolating y-term and simplify the expression.

[tex]\displaystyle \large{y = - \frac{3}{2}(x+2)+3}\\\displaystyle \large{y = - \frac{3}{2}x-3+3}\\\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Therefore, the equation of tangent line is y = -3x/2.

Answer:

1.5

Step-by-step explanation:

Answer:

x = 13 pls give

Step-by-step explanation:

brainliest again it got deleted twice lol

Answer:

The answer is 2 and 1

Step-by-step explanation:

Sum means to add, so you are looking for two numbers that add up to equal 3.

2+1=3

Quotient means to divide, So secondly you would for two numbers that when divided equals 2

2 divided by 1 =2

hope this helps mark brainliest please :)

Answer:

please follow me and take thanks

Answer:

what? I don't understand what your trying to say

251.20 50 I think is the answer maybe not but at least try

The radius of the circle is a line from the center of the circle to its circumference

The radius of the circle with the same vertex as a center is 10.16 units

From the question, we understand that:

Start by calculating the area of the triangle using:

[tex]Area = 0.5ab\sin C[/tex]

So, we have:

[tex]Area = 0.5 * 12 * 12\sqrt 3 *\sin (60)[/tex]

This gives

[tex]Area = 0.5 * 12 * 12\sqrt 3 * \frac{\sqrt 3}{2}[/tex]

[tex]Area = 108[/tex]

The arc divides the triangle into two equal regions.

So, the area of the arc is:

[tex]Arc = 0.5 * Area = 0.5 * 108[/tex]

[tex]Arc = 54[/tex]

Also, the area of the arc is:

[tex]Arc = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Arc = \frac{60}{360} *3.14 * r^2[/tex]

Simplify

[tex]Arc = 0.523 * r^2[/tex]

This gives

[tex]0.523 * r^2 = 54[/tex]

Divide both sides by 0.523

[tex]r^2 = 103.25[/tex]

Take the square roots of  both sides

[tex]r = 10.16[/tex]

Hence, the radius of the circle with the same vertex as a center is 10.16 units

Read more about circumcised triangles at:

https://brainly.com/question/4268382

Hi there!

c.

Looking at the graph, we can eliminate any possibility of t values on the positive t-axis being an absolute minimum. The only sign change in this interval is from positive to negative, which indicates a maximum.

We can find the value of t = -2 using the integral:

[tex]g(-2) = \int\limits^{-2}_1 {f(t)} \, dt[/tex]

Rewrite in proper format:
[tex]g(-2) = -\int\limits^1_{-2}{f(t)} \, dt[/tex]

Solve using the graph:
[tex]g(-2) = -\frac{1}{2}bh = -\frac{1}{2}(3 \cdot 4) = -6[/tex]

There is an absolute minimum value of g at x = -2. Using the above integral, we get a value of g(-2) = -6, which is the lowest value attainable over the interval.

d.

There is an inflection point at x = 1 because the second derivative changes from positive to negative at this value. (Changes signs). There is NOT an inflection point at x = 2 because the second derivative remains negative, although with a different value.

The data for the assist forms the possible x-values, while the data for the

points represent the y-values of the scatter plot.

Response:

The given table is presented as follows;

[tex]\begin{tabular}{|c|c|c}Assist&Points\\22&28\\16&18\\46&72\\19&29\\13&26\\9&13\\16&22\\8&18\\12&13\\12&17\\37&50\\7&12\\17&34\\27&58\\18&34\end{array}\right][/tex]

A scatter plot of the above data can be created using MS Excel, by

entering the values into cells as presented above, selecting all values,

and selecting Insert then Scatter from the Chart sub-menu.

Learn more about scatter plots here:

https://brainly.com/question/3083461

Answer:

2

Step-by-step explanation:

every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other

All below;

Green question mark = 10

50 (longer opposite side) - 40 = 10

Red question mark = 20

30 (longer opposite side) - 10 = 20

Perimeter = 160

30 + 50 + 10 + 40 + 20 + 10 = 160

Area = 700

30 * 50 = 1500; (Total area if it were fully a rectangle)

40 * 20 = 800; (Chunk of rectangle that is missing)

1500 - 800 = 700 (Total area - missing space)

Green question mark = 14

Opposite of the other side

Red question mark = 20

35 (longer opposite side) - 15 = 20

Perimeter = 152

35 + 22 + 20 + 14 + 10 + 14 + 15 + 22 = 152

Area = 630

35 * 22 = 770; (Total area if it were fully a rectangle)

14 * 10 = 140; (Chunk of rectangle that is missing)

770 - 140 = 630 (Total area - missing space)

Answer:

90$

Step-by-step explanation:

You multiply the number by 0.10 for your answer.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (900)(0.10)(1)\implies I=90[/tex]

Step-by-step explanation:

(1). 1/2(5.6+14)(9)

1/2(19.6)(9)

(9.8)(9)

=88.2

(2). 1/2(14+9)(8)

1/2(23)(8)

(11.5)(8)

=92

(3). 1/2(4+6.1)5.2

1/2(10.1)5.2

(5.05)(5.2)

=26.26

1.) 88.2 cm²

2.) 92 cm²

3.) 26.26 m²

4.) 131.25 dm²

5.) 4 m²

Answer:

-see link below for graph

-slope- 6/270

Step-by-step explanation:

link in comments

Answer:

Step-by-step explanation:

We can factor out 2 to give us 2(2mn+n)

Answer:

the even number is two

Step-by-step explanation:

the box with the question mark has the two while the one without a question mark is one which is an odd number. when 2 multiplies 1, it gives 2

Answer:

negative 2 is bigger

............. .

Answer:

-5 is less than -2 it's mean that -2 is bigger.

Step-by-step explanation:

Answer:

take the common between dy and y

do similarly also with x .and make a equation

Answer:

The area of the trapezoid is 40 ft

Step-by-step explanation:

11ft + 14ft + 15ft = 40 ft

*please help with my 1st question *

Answer:

A) Compare and contrast texts demonstrate the similarities and differences between two or more topics

Step-by-step explanation:

Compare and Contrast is a text structure (or pattern of organization) where the similarities and differences of two or more things is discussed/explored.

Answer:

ahem...

the answer you are looking for is.....

91! :)

Answer:

$25

Step-by-step explanation:

$20 = 80%

100% to 80% = x 0.8 ( you have to do inverse)

$20/ 0.8 = $25

if there are 360 days in 1 year, then 60 days is 60/360 = 1/6 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$375\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &\frac{1}{6} \end{cases} \\\\\\ I=(375)(0.095)(\frac{1}{6})\implies I\approx 5.94[/tex]