Ask question

Ask question

All categories

3 years ago

7

The Smiths spend 11% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year

they plan to spend $4,950 on entertainment. What was their total budget last year?

1 answer:

chubhunter [2.5K]3 years ago

3 0

Hi,
11%= $4950
1%= $4950/ 11
= $450
100%= $450 x 100
= $45 000 (this year)
Last year= $45 000- $2000
= $43 000
Hope this helps:))

~Top

You might be interested in

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

5 0

3 years ago

What is .466666 as a fraction?

katovenus [111]

As a fraction it is 466666/1000000

6 0

2 years ago

Read 2 more answers

There are 451 children in Lia's school. Write a number greater than 451

fiasKO [112]

452, 453, 454, 456, etc.

8 0

3 years ago

Read 2 more answers

The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p - 24.1t+575 where t is

krok68 [10]

Answer:

<u>69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.

Step-by-step explanation:

Given:

Average Price to rent a studio is denoted by 'p'.

It is been approximated by equation:

$p-24.1t+575$

where t ⇒ number of years since 2005

Now given:

Average Price to rent a studio p = $1081.10

Substituting the value of p in above equation we get;

$1081.10-24.1t+575$

Solving the new equation to find the value of t we get;

$1656.1=24.1t$

Dividing both side by 24.1 we get;

$\frac{1651.1}{24.1} =\frac{24.1t}{24.1} \\\\t= 68.71 \approx 69 years$

Hence<u> 69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.

<u />

7 0

2 years ago

PLEASE HELP ASAP!!! 14 POINTS!!!

GalinKa [24]

The Answer is A: 255.4 I took the test

6 0

2 years ago

Read 2 more answers