Ask question

Ask question

All categories

3 years ago

13

According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $

470 thousand. What was the average price of a new home in 2000h The average price of a new home in 2000 was $ (Do not round until the final answer. Then round to the nearest thousand as needed)

1 answer:

Alla [95]3 years ago

3 0

Answer: $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

$x+0.62(x)=x(1+0.62)=1.62x$

Since , the the average price of the home in 2016 = $470 thosand

$1.62x=470\\\\\Rightarrow\ x=\dfrac{470}{1.62}=290.12345679\approx290$

Hence, the average price of a new home in 2000 = $ 290 thousand .

You might be interested in

Mr.Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget?

oee [108]

$\frac{800}{x} = \frac{16\%}{100\%} \\ \frac{80000}{16} = \frac{16x}{16} \\ 5000 = x$

5 0

3 years ago

Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o

Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, $\mu$ = 5.5 mins

Standard deviation, $\sigma$ = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ $z_1=\frac{x_1-\mu}{\sigma}$ ...raw score, $x_1$ = $5.4$

⇒ Plugging the values.

⇒ $z_1=\frac{5.4-5.5}{0.4}$

⇒ $z_1=-0.25$

For raw score 5.5 the z score is.

⇒ $z_2=\frac{5.8-5.5}{0.4}$

⇒ $z_2=0.75$

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ $P(5.4$

⇒ $P(-0.25$

⇒ $P(z$

⇒ $z(1.5)=0.7734$ and $z(-0.25)=0.4013$ .<em>..from z -score table.</em>

⇒ $0.7734-0.4013$

⇒ $0.3721$

To find the percentage we have to multiply with 100.

⇒ $0.3721\times 100$

⇒ $37.21$ %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0

3 years ago

What is the approximate 47? Give your answer and explain why it is correct. HELP

a_sh-v [17]

Answer:

7

Step-by-step explanation:

7 is approximate to $\sqrt{47}$ because 7 is $\sqrt{49}$ , and 49 is close to 47

3 0

3 years ago

Read 2 more answers

What is the value of p in the question below. 10x9/2x4= px 5

ycow [4]

Answer:

p = 5

Step-by-step explanation:

We have that:

$\frac{x^{a}}{x^{b}} = x^{a-b}$

So

$\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}$

10/2 = 5

Then

$\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}$

Finding p:

$5x^{5} = px^{5}$

$p = \frac{5x^{5}}{x^{5}}$

$p = 5$

7 0

3 years ago

Need help with this asap

ipn [44]

Answer:

SSS

Step-by-step explanation:

All sides with the same amount of lines are congruent

5 0

3 years ago