‼️finbar bought his home for $150,000 in 2010. property values have increased 10% every year since she has owned the home. which of the following equations can be used to represent the price of the home x years after 2005?

y = 150.000(1.5)*
y = 150,000(1.1)*
y = 150.000(0.9)
y = 150,000(0.5)

Step-by-step explanation:

The exponential growth model is defined as

     . .... (1)

where, a is the initial value, r is growth rate and t is the number of years.

It is given that bought his home for $150,000 in 2010.

Initial value = 150,000

Growth rate = 10% = 0.1

x is number of years after 2005. Property values have increased 10% every year since she has owned the home (2010).

t = x - 5

Substitute a=150,000, r=0.1 and t=x-5 in equation (1).

Therefore, the required function is .

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional