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Setler79 [48]
2 years ago
10

You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up 9.5% per year. What would b

e the rent of the apartment during the 8th year of living in the apartment? Round to the nearest tenth (if necessary).
Mathematics
1 answer:
uranmaximum [27]2 years ago
8 0

Answer:

  $2076.30

Step-by-step explanation:

In the n-th year, the rent will be ...

  an = a1·r^(n-1) . . . . . . . . . r is the year on year ratio: 1+rate of increase

  an = 1100·(1.095^(n-1))

Then the rent in the 8th year is ...

  a8 = 1100·(1.095^(8-1)) ≈ 2076.30

The rent in the 8th year would be $2076.30.

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Construct a​ 95% confidence interval for the population standard deviation sigma of a random sample of 15 crates which have a me
Ad libitum [116K]

Answer:

There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

Step-by-step explanation:

Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. z_{\frac{\alpha}{2} }=1.96

The margin of error (E) is given by:

E=z_{\frac{\alpha}{2} }\frac{\sigma}{\sqrt{n} } =1.96*\frac{12.4}{\sqrt{15} }= 6.28

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)

The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

4 0
2 years ago
What is 6+0<br> plzzzz help
Feliz [49]

6+0=6

When you add any number to 0, that number stays the same since you aren’t adding anything to it. So the answer is 6.

6 0
3 years ago
Read 2 more answers
Ray is constructing a flowerbed for the zoo and wants to
faust18 [17]

Answer:

Option (3)

Step-by-step explanation:

Since, flowerbed is in the shape of a right triangle,

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

(Hypotenuse)² = (12)² + (12)²

(Hypotenuse)² = 144 + 144

Hypotenuse = √288

Hypotenuse = 16.97

                     ≈ 17 ft

Perimeter of the triangle = Sum of the measures of three sides of the triangle

= 12 + 12 + 17

= 41 ft

Therefore, Option (3) will be the correct option.

4 0
2 years ago
The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl
Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

f(x)=\frac{1}{2}x+\frac{3}{2}

Option 1

f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}

          =-\frac{1}{4}+\frac{3}{2}

          =-\frac{1}{4}+1+\frac{1}{2}

          =1+\frac{1}{4}

          =1\frac{1}{4}

So, f(-\frac{1}{2} )=-2 is false.

Option 2

f(0) = \frac{1}{2}(0)+\frac{3}{2}

     = \frac{3}{2}

True.

Option 3

f(1) = \frac{1}{2}(1)+\frac{3}{2}

    = \frac{3+1}{2}

    = 2

Therefore, f(1) = -1 is false.

Option 4

f(2)=\frac{1}{2}(2)+\frac{3}{2}

       =1+1+\frac{1}{2}

       =2\frac{1}{2}

Therefore, f(2) = 1 is false.

Option 5

f(4) =\frac{1}{2}(4)+\frac{3}{2}

     =2+\frac{3}{2}

     =\frac{4+3}{2}

     =\frac{7}{2}

True.

Options (1) and (5) are the correct options.

5 0
3 years ago
Does the table represent a linear or nonlinear function
Kipish [7]

Answer:

Non-Linear

Step-by-step explanation:

8 0
2 years ago
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