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xenn [34]
3 years ago
14

Natalie just rented an apartment for 900$ a month she was told that the rent will increase 5.5% each year about how much will he

r rent be in 7 years ?
Mathematics
1 answer:
Elden [556K]3 years ago
5 0
For year 2 - 7:
100% + 5.5%
= 105.5%
= 1.055
Year 1: $900
Year 2: 1.055 x $900 = $949.5
Year 3: 1.055 x $949.5 = $1001.72
Year 4: 1.055 x $1001.72 = $1056.81
Year 5: 1.055 x $1056.81 = $1114.93
Year 6: 1.055 x $1114.93 = $1240.95
Year 7: 1.055 x $1240.95 = $1309.20

Total rent for 7 years
= $(900 + 949.5 + 1001.72 + 1056.81 + 1114.93 + 1240.95 + 1309.20) x 12 months
= $90877.32
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(x5 + y5) ÷ (x + y) please answer ASAP
Shkiper50 [21]

Answer:

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

Step-by-step explanation:

Given the expression

\left(x^5+y^5\right)\div \left(x+y\right)

\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}

x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)

=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}

Cancel the common factor: x+y

=x^4-x^3y+x^2y^2-xy^3+y^4

Thus,

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

3 0
2 years ago
Jenny is making tie-dyed shirts for her class with her school colors,blue and yellow.she used a total of 8 ounces of fabric pain
Elodia [21]

<em><u>Question:</u></em>

Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow.  She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the  amount of yellow paint.  Make a diagram to show the ratio of blue paint to yellow paint

<em><u>Answer:</u></em>

The ratio of blue paint to yellow paint is 3 : 1

<em><u>Solution:</u></em>

Let  "x" be the amount of blue paint in ounces

Let "y" be  the amount of yellow paint in ounces

<em><u>She used a total of 8 ounces of fabric paint</u></em>

Therefore,

x + y = 8 -------- eqn 1

<em><u>The amount of blue paint is 3 times the amount of yellow paint</u></em>

Amount of blue paint = 3 times the amount of yellow paint

x = 3y ------- eqn 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

<em><u>Substitute y = 2 in eqn 2</u></em>

x = 3(2)

x = 6

Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces

<em><u>Find the ratio </u></em>

To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint

\frac{x}{y} = \frac{6}{2} = \frac{3}{1}

Which means, of every 4 parts of paint, three parts are blue and one part is yellow

The diagram is attached below

4 0
3 years ago
You can write ratio in three different ways​
Maru [420]
Correct the first way is 1to1, 1:1, 1 boy to 1 girl .
4 0
3 years ago
Dans une boîte, il y a des jetons de différentes formes (triangle, disque flèche) décorées avec trois sortes de motif.
solong [7]

Answer:

The anwer for the top row is 30, 10, 8, and 48. The next row is 9, 8, 9, and 26. The next row is 6, 4, 6, and 16. The last row is 45, 22, 23, and 90.

Step-by-step explanation:

7 0
2 years ago
What is the slope of the line?<br> m=
telo118 [61]

Answer:

m = 1/4

Step-by-step explanation:

slope = rise / run

rise = 1 (red arrow)

run = 4 (dotted line)

3 0
2 years ago
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