Ask question

Ask question

All categories

3 years ago

11

You rent an apartment that costs $1800 per month during the first year, but the rent is set to go up $90 per year. What would be

the monthly rent during the 10th year of living in the apartment?

1 answer:

Angelina_Jolie [31]3 years ago

5 0

Answer:

$225

Step-by-step explanation:

If you take the original rent and add it to 90 times ten, you get the rent of that year. ($2700) Then, if you divide 2,700 by 12 for the amount of money per month, you get $225.

You might be interested in

the perimeter of the circular base of a cone is 132 cm and its vertical height is 28 cm find the curved surface area total surfa

Elden [556K]

Answer:

i. Curved surface area = 2310 $cm^{2}$

ii. Total surface area = 3696 $cm^{2}$

iii. volume = 12936 $cm^{3}$

Step-by-step explanation:

Perimeter of the circular base = circumference of the circle = 132 cm

circumference of a circle = 2 $\pi$ r

132 = 2 $\pi$ r

r = $\frac{132}{2\pi }$

= $\frac{66}{\pi }$

r = 66 x $\frac{7}{22}$

= 3 x 7

= 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

$l^{2}$ = $h^{2}$ + $r^{2}$

= $28^{2}$ + $21^{2}$

= 784 + 441

= 1225

l = $\sqrt{1225}$

l = 35 cm

The slant height is 35 cm.

i. Curved surface area = $\pi$ rl

= $\frac{22}{7}$ x 21 x 35

= 22 x 3 x 35

= 2310

curved surface area of the cone is 2310 $cm^{2}$ .

ii. Total surface area = $\pi r^{2}$ + $\pi$ rl

= $\pi$ r(r + l)

= $\frac{22}{7}$ x 21 (21 + 35)

= 22 x 3 x 56

= 3696

The total surface area of the cone is 3696 $cm^{2}$ .

iii. volume of a cone = $\frac{1}{3}$ $\pi r^{2}$ h

= $\frac{1}{3}$ x $\frac{22}{7}$ x $21^{2}$ x 28

= 12936

The volume of the cone is 12936 $cm^{3}$

5 0

3 years ago

HELPPP MEEE PLEASSSE ASAP IT WOULD MEAN ALOT

Delicious77 [7]

Answer:92

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Darla drives at a constant speed of 45 miles per hour.

choli [55]

9 because that is the answer trust me
<span />

7 0

3 years ago

When you are trying to find the mean in a dot plot do you want to use the number of dots of the actual number underneath of the

yuradex [85]

The number of dots tells us how many times we need to add the actual number underneath the dots. So you need to use both.

<h3>Which number should you use for the mean?</h3>

Let's suppose we have the next set:

{2, 2, 2, 4, 5, 5, 6}

If you graphed it in a dot plot, then you will have:

3 dots above the number 2.
1 dot above the number 4.
2 dots above the number 5.
1 dot above the number 6.

A total of 7 dots.

To find the mean, we just compute:

$M = \frac{2 + 2 + 2 + 4 + 5 + 5 + 6}{7} = 3.7$

So the number of dots tells us how many times we need to add the actual number underneath the dots. In conclusion, to find the mean you need to use both, the number of dots and the number underneath.

If you want to learn more about dot plots:

brainly.com/question/15853311

#SPJ1

5 0

2 years ago

Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago