Assume that in January 2017, the average house price in a particular area was $300,400. In January 2001, the average price was $207,300. What was the annual increase in selling price

r = 0.023455 or 2.3455% rounded off to 2.35%

Explanation:

We are given the future value and the present value of house. To calculate the annual percentage increase in the price of the house over the period of 16 years from January 2001 to January 2017, we can use wither use the formula for Future Value or Present value.

Here we are solving it using the future value formula which is,

FV = PV * (1 + r)^t

Where,

Plugging in the values for FV, PV and t, we can calculate the value of r r annual percentage increase in the price.

300400 = 207300 * (1 + r)^16

300400 / 207300 = (1 + r)^16

1.449107574 = (1 + r)^16

Eliminating the power 16 by taking a power of 1/16 on both sides.

(1.449107574)^1/16 = (1 + r)^16/16

1.023455087 = 1 + r

1.023455087 - 1 = r

r = 0.023455 or 2.3455% rounded off to 2.35%

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

all of them make sense but, i would have to say ask someone who has been there/or lives there, and/or read recent newspapers from that city.

hope this !