You rent an apartment that costs \$800$800 per month during the first year, but the rent is set to go up 9.5% per year. What would be the rent of the apartment during the 9th year of living in the apartment? Round to the nearest tenth (if necessary).\
Pls help I'm dying here

Answers

Answer 1

Answer:

Monthly rent for Year 9: $1,653.5

Total cost of rent for the whole 9th year: $19,841.9

Step-by-step explanation:

Given the monthly rent of $800 for an aparment, for which it is set to increase by 9.5% annually:

Increase in the Monthly Cost of RentYear 1:

The monthly rent will stay at $800 for the first year.  

Year 2:

For year 2, we must add the 9.5% increase in the monthly rent. In order to determine the 9.5%, simply multiply the monthly rent by 0.095 (the decimal equivalent of 9.5%), then add the product to the monthly rent in year 1 of $800.

9.5% increase for Year 2:  $800 × 0.095 = $76

Monthly rent in Year 2:  $800 + $76 = $876

Year 3:

For year 3, we must add the 9.5% increase in the monthly rent from Year 2 ($876).  

9.5% increase for Year 3:  $876 × 0.095 = $83.22

Monthly rent in Year 3:  $876 +  $83.22 = $959.22

Year 4:

For year 4, we must add the 9.5% increase in the monthly rent from Year 3 ($959.22).  

9.5% increase for Year 4:  $959.22 × 0.095 = $91.13

Monthly rent in Year 4: $959.22 +   $91.13 = $1,050.35

Year 5:

For year 4, we must add the 9.5% increase in the monthly rent from Year 4 ($1,050.35).  

9.5% increase for Year 5:  $1,050.35 × 0.095 = $99.78

Monthly rent in Year 5: $1,050.35 + $99.78 = $1,150.13

Year 6:

9.5% increase for Year 6:  $1,150.13 × 0.095 = $109.26

Monthly rent in Year 6:  $1,150.13 + $109.26 = $1,259.39

Year 7:

9.5% increase for Year 7:  $1,259.39 × 0.095 = $119.64

Monthly rent in Year 7:  $1,259.39 + $119.64 = $1,379.03

Year 8:

9.5% increase for Year 8:  $1,379.03  × 0.095 = $131.00

Monthly rent in Year 8:  $1,379.03 + $131.00 = $1,510.04

Year 9:

9.5% increase for Year 9:  $1,510.04  × 0.095 = $143.45

Monthly rent in Year 9:  $1,510.04 + $143.45 = $1,653.50

Yearly Cost of Rent:

In order to determine the yearly cost of renting an apartment, simply multiply  monthly rent by 12. In other words:

Year 1: $800 × 12 = $9600

Year 2: $876 × 12 = $10,512

Year 3: $959.22 × 12 = $11,510.64

Year 4: $1,050.35 × 12 = $12,604.15

Year 5: $1,150.13 × 12 = $13,801.55

Year 6: $1,259.39 × 12 = $15,112.69

Year 7: $1,379.03 × 12 = $16,548.40

Year 8: $1,510.04 × 12 = $18,120.50

Year 9: $1,653.50 × 12 = $19,841.94

Therefore, due to the 9.5% annual increase in rent, the monthly cost of an apartment during the 9th year is $1,653.5, or $19,841.9 (12-months' worth of rent).


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∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)

The given triangle ΔHFE is similar to triangle GFH and triangle GHE.

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Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

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Let
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f
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x
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x
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=
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g
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x
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=
x
2
+
x
+
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. Evaluate the following.

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.
a
.

f
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2
)
f
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=
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.
b
.

f
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3
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c
.

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2
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THE ANSWER

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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]

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~[tex]\frak{Amphitrite1040:)}[/tex]

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