TriangleACB~triangleEFD

You buy a house in 2017 for $300,000. the house appreciates at a rate of 1.2% per year. in what year will it be worth 350,000

LUCKY_DIMON [66]

Appreciation rate = 1.2% = 0.012

Let it take n years

300000^0.012n = 350000

taking log
0.012n * log(300000) = log(350000)
0.012n * 5.4771 = 5.5440
0.0657252 n = 5.5440
n = 84.35 years

2017 + 84.35 = 2101.35

It will be worth $350,000 in 2101

8 0

3 years ago

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Use long division to find the quotient and remainder when 6x^3 - 3x^2 + x + 1

professor190 [17]

Hope this helped you

7 0

3 years ago

Which of the following trigonometric ratios is equivalent to sin 4pi / 3?

emmainna [20.7K]

Answer:

(A)

Step-by-step explanation:

The given trigonometric ratio is :

$sin\frac{4{\pi}}{3}$

On solving this, we get

$sin\frac{4{\pi}}{3}$

= $sin240^{{\circ}}$

= $sin(180+60)$

= $-sin60^{{\circ}}$

= $-\frac{\sqrt{3}}{2}$

(A) The given trigonometric ratio is :

$cos\frac{5{\pi}}{6}$

= $cos150^{{\circ}}$

= $cos(180-30)$

= $-cos30^{{\circ}}$

= $-\frac{\sqrt{3}}{2}$

Which is equivalent to the given trigonometric ratio, thus (A) is correct.

(B) The given trigonometric ratio is :

$cos\frac{5{\pi}}{3}$

= $cos300^{{\circ}}$

= $cos(360-60)$

= $-cos60^{{\circ}}$

= $-\frac{1}{2}$

which is not equivalent to the given trigonometric ratio, thus(B) is incorrect.

(C) The given trigonometric ratio is :

$sin\frac{{\pi}}{3}$

= $\frac{\sqrt{3}}{2}$

which is not equivalent to the given trigonometric ratio, thus(C) is incorrect.

(D) The given trigonometric ratio is :

$sin\frac{7{\pi}}{6}$

= $sin210^{{\circ}}$

= $sin(180+30)$

= $-sin30^{{\circ}}$

= $-\frac{1}{2}$

which is not equivalent to the given trigonometric ratio, thus(D) is incorrect.

7 0

4 years ago

Change 4 5/9 from a mixed number to an improper fraction

zhannawk [14.2K]

Answer:

the answer is D. you would multiply the whole number and numerator. keeping the denominator. :)

8 0

3 years ago

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What are two consecutive integers, such that five times the smaller minus three times the larger is 51? What is the smallest int

Xelga [282]

<h3>Answer: 27</h3>

===============================================

Work Shown:

x = smaller integer

x+1 = larger integer

x and x+1 are consecutive integers since the larger follows right after the smaller

5*(smaller) - 3*(larger) = 51

5*(x) - 3*(x+1) = 51

5x - 3x - 3 = 51

2x - 3 = 51

2x = 51+3

2x = 54

x = 54/2

x = 27

x+1 = 27+1 = 28

The two consecutive integers are 27 and 28.

3 0

3 years ago