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True [87]
3 years ago
10

Joe wants to rent an apartment with an initial monthly rent of $1,400. He has been told that the landlord raises the rent 1.25%

each year. Using an exponential function ( or a method of your own) to model this situation, calculate the rent that Joe will have to pay for the 4th year of living in the apartment.
Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer: his pay for the 4th year is $1453.16

Step-by-step explanation:

The landlord raises the rent 1.25% each year. It means that the rent is increasing in geometric progression.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = $1,400

r = 1 + 1.25/100 = 1.0125

n = 4 years

The 4th term(year), T4 is

T4 = 1400 × 1.0125^(4 - 1)

T4 = 1400 × 1.0125^3

T4 = $1453.16

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Levi and Beverly paid 20% down on a house valued at $165,000 in 1994. They upgraded the house entirely in 2003, when they refina
aalyn [17]

Answer:

$25,000

Step-by-step explanation:

Given:

House valued at(20% down) = $165,000

Amount receive from selling the house = $190,000

Find:

Value of equity from home on selling = ?

Computation:

⇔ Value of equity from home on selling = Amount receive from selling the house - House valued at(20% down)

⇔ Value of equity from home on selling = $190,000 - $165,000

⇔ Value of equity from home on selling = $25,000

7 0
3 years ago
A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.
andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

7 0
3 years ago
Cheddar cheese costs 7.50 for 1 kg Marie buys 200 grams of cheddar cheese how much does she pay
Varvara68 [4.7K]
Marie would pay $1.50 because 200 grams is .2 Kg and you would multiply 7.50 by .2 and you'd get your answer
8 0
3 years ago
Read 2 more answers
Find the midpoint of X (26,56) and Y (26,1)
Svetradugi [14.3K]

Answer:

(26, \frac{57}{2})

Step-by-step explanation:

Hi there!

We are given the coordinates (26, 56) and (26, 1)

We want to find the midpoint of these two points

The midpoint can be found using the formula (\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}), where (x_1, y_1) & (x_2, y_2) are points

We have 2 points, which is what we need to find the midpoint, but let's label the values of the points to avoid confusion and mistakes when actually calculating

x_1=26\\y_1=56\\x_2=26\\y_2=1

Now substitute these values into the formula.

(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})

(\frac{26 + 26}{2} , \frac{56+ 1}{2})

Add the numbers together

(\frac{52}{2} , \frac{57}{2})

Divide

(26, \frac{57}{2})

Hope this helps!

4 0
2 years ago
Read 2 more answers
Programmers want to program a robot so that it moves at a uniform speed along a straight line segment connecting two
kramer

Answer:B

I got it right on my test

Step-by-step explanation:

7 0
3 years ago
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