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Zigmanuir [339]
2 years ago
7

You purchase a home for $125,000. The value of the property increases by 1.9% every year. After ten years, you decide to sell th

e home. In the meantime, you have made renovations and improvements to the house which increase its sale value by $48,300. How much will you sell the house for, to the nearest hundred dollars?
Mathematics
2 answers:
FinnZ [79.3K]2 years ago
7 0

We can use the formula:

F = P · ( 1 + i )^n

where: P = $125,000, i = 0.019 ( 1.9 %), n = 10

F = $125,000 · ( 1 + 0.019 )^10

F = $125,000 · 1.019^10

F = $125,000 · 1.207096

F = $150,887

And we have to add $48,3000 ( for renovations and improvements )

$150,887 + $48,300 = $199,187 ≈ $199,200

Answer: You will be sell the house for $199,200.

abruzzese [7]2 years ago
5 0

Answer:

$199,200

Step-by-step explanation:

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A jar contains 27 marbles. There are 4 blue marbles and the rest are red. If a marble is chosen at random, what is the likelihoo
ikadub [295]

Answer:

23/27

Step-by-step explanation:

27-4=23

8 0
2 years ago
Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an
levacccp [35]

Answer:

m(n) = 24 (0.75)^n

Step-by-step explanation:

1) <u>The two points are</u>:

a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>

b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>

2) <u>The general equation using the form given is</u>:

m(n)=A(B)^n

3) <u>Substitute the two points</u>:

18=A(B)\\ \\ 13.5=A(B)^2

4) <u>Divide the second equation by the first one</u>:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) <u>Substitue B = 0.75 into the first equation</u>:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

m(n) = 24 (0.75)^n

5 0
2 years ago
List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3
RUDIKE [14]

The recursive formula

a_{n+1} = 5a_n-3

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with a_1=4, we have to multiply it by 5 and subtract 3 to get the next:

a_2 = 5a_1-3 = 5\cdot 4 - 3 = 20-3 = 17

And similarly we can obtain all the next terms:

a_3 = 5a_2-3 = 5\cdot 17 - 3 = 85-3 = 82

a_4 = 5a_3-3 = 5\cdot 82 - 3 = 410-3 = 407

a_5 = 5a_4-3 = 5\cdot 407 - 3 = 2035-3 = 2032

5 0
2 years ago
A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all
german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.  

Calculating the probability of the distribution for x:

\to f(x) = 0.19\  for \ x=14\\\\\to  f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\  for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\

The formula for calculating the mean value:

\bold{ E(X)= x \times f(x)}

          =14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07

\bold{E(X^2) = x^2 \times f(x)}

           =14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83

use formula for calculating the Variance:

\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}

                  = 51.83 - (5.07)^2\\\\= 51.83 -  25.70\\\\=26.13

calculating the value of standard deivation:

Standard Deivation (SD) = \sqrt{Variance}

                                          = \sqrt{26.13} \\\\=5.111

6 0
2 years ago
The quotient of 9 3/4 and 5/8​
suter [353]

Answer:

15.6

Step-by-step explanation:

  1. 9\frac{3}{4} = \frac{39}{4}  
  2. Plug 39/4 in: 39/4 ÷ 5/8
  3. 39/4 ÷ 5/8 = 39/4 × 8/5
  4. 39/4 × 8/5 = 312/20
  5. \frac{312}{20} = 15.6  

I hope this helps!

4 0
2 years ago
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