A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. What is the rate of growth each month?select the correct answer below.
A) 0.797%
B) 0.00797%
C) 0.833%
D) 0.00833%

Respuesta :

Answer: C) 0.833%


Step-by-step explanation:

Given: Cost price of house = $120,000

The rate of increase of its cost = 10%

Therefore, the increase amount of house per year =10% of $120,000

[tex]=\frac{10}{100}\times120000=\$12,000[/tex]

Now, the amount increase each month=[tex]\frac{12000}{12}=\$1000[/tex]

Let r be the rate of growth each month, then

r% of $120,000=1000

[tex]\Rightarrow\frac{r}{100}\times120000=1000\\\Rightarrow\ r\times1200=1000\\\Rightarrow\ r=\frac{1000}{1200}=0.833\%[/tex]

Answer:

0.797%

Step-by-step explanation:

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