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2 years ago

Mr. Vitorello spends 25% of his salary on rent. He makes $2,500 each month. How much does he spend on rent each month?

2 answers:

7 0

Convert 25% into a decimal, 25/100 = .25

Multiply .25 * 2500 = 625

25% percent of 2500 is 625.

Mr. Vitorello spend $625.00 on rent every month.

Lana71 [14]2 years ago

5 0

You do 25% multiplied by $2,500, which is (.25)(2,500)=$625.

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g In 2017 the average credit score for mortgage loans purchased by Fannie Mae was 745. Recently a sample of 20 mortgages were ra

Anvisha [2.4K]

Answer:

The 95% confidence interval for the average credit score is between 697.675 and 802.325

Step-by-step explanation:

We are in posession of the sample standard deviation, so the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.093

The margin of error is:

M = T*s = 2.093*25 = 52.325

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 750 - 52.325 = 697.675

The upper end of the interval is the sample mean added to M. So it is 750 - 52.325 = 802.325

The 95% confidence interval for the average credit score is between 697.675 and 802.325

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2 years ago

What is the solution for 2y=x+2 x-3y=-5

Mars2501 [29]

Answer:

x = 4

y = 3

Step-by-step explanation:

Given equations :-

2y = x + 2
x - 3y = -5

Second equation can be written as ,

x - 3y = -5
-3y = -x - 5

Adding them :-

-3y + 2y = 2 -5
-y = -3
y = 3

Put this in (ii) :-

x = 3y - 5
x = 3*3 - 5
x = 9 -5
X = 4

8 0

2 years ago

Read 2 more answers

Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of bo

GuDViN [60]

Answer:

Let the number of books she can purchase = b

The cost of each book is $5.5 with an extra shipping of $7.5

So, the total cost of the books she can purchase = $5.5b+7.5$

Since, she had $65 to spend on the books.

The required inequality is $5.5b+7.5\leq 65$ .

So, according to the inequality above, we get,

The correct options are,

B. The inequality symbol is incorrect because she can spend up to and including $65.

C. The expression $5.5b+7.5$ is correct because $5.50 per book is $5.5b$ and that is added to the shipping fee of $7.50 to determine the total purchase price.

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2 years ago

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Solve 7x = 49 for x. Thank you however answer’s this

Over [174]

Answer:

x=7

Step-by-step explanation:

To solve for x, we need to isolate it by itself. We can do that by getting rid of the 7. Since the 7 is being multiplied with the x, we need to divide by 7 to cancel it out. When doing something to one side of the equation, we must always to the same to the other.

Divide both sides by 7

x=7

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2 years ago

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What is the a3+b3 equal to? verify by an activity

uranmaximum [27]

a³ + b³ = ( a + b ) ( a² - a b + b³ )
For example:
a = 1, b = 2
a³ + b³ = 1³ + 2³ = 1 + 8 = 9
( a + b ) ( a² - a b + b² ) = ( 1 + 2 ) ( 1² - 1 * 2 + 2² ) =
= 3 * 3 = 3
The formula is true.

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2 years ago