Ask question

Ask question

All categories

3 years ago

10

Faith Sherlock received her monthly pension check of $1,247.26. From that amount, she transferred $150 to a savings account and

paid the electricity bill for $156.33, the gas bill for $9.38, the water bill for $98.42, and the cable television bill for $52.54. How much (in $) remained of Faith's monthly pension?

1 answer:

Katyanochek1 [597]3 years ago

4 0

Answer:

$\boxed{\$780.59}$

Step-by-step explanation:

Monthly pension = $1247.26

Savings = $150.00

Electric = 156.33

Gas = 9.38

Water = 98.42

TV = 52.54

Total bills = <u> 466.67 </u>

Remaining = $ 780.59

$\text{Faith has }\boxed{\textbf{\$780.59}} \text{ remaining from her pension check}$

You might be interested in

The Highway Safety Department wants to study the driving habits of individuals. A sample of 32 cars traveling on the highway rev

GarryVolchara [31]

Answer:

n=126

Step-by-step explanation:

Data given and previous concepts

$\bar X=60$ represent the sample mean

$s=11$ represent the sample deviation

n=32 represent the sample size

Confidence =0.95 or 95%

$\alpha =1-0.95=0.05$ represent the significance level

ME= 2 represent the margin of error required

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

Solution to the problem

Since we don't have the population deviation. We know that the margin of error for a confidence interval is given by:

$Me=t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The next step would be find the value of $\t_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ . The degrees of freedom are given by:

$df=n-1=32-1=31$

Using the normal standard table, excel or a calculator we see that:

$t_{\alpha/2}=2.04$

And the code in excel is this one: "=T.INV(1-0.025,31)"

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{t_{\alpha/2} s}{Me}$

$n=(\frac{t_{\alpha/2} s}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.04(11)}{2})^2 =125.88$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=2 miles$ is n=126.

3 0

3 years ago

Find the quotient write your answer in the simplest form !

Mrrafil [7]

Answer:

The answer is B) $\frac{2x-3}{2x+1}$

Step-by-step explanation:

Step 1: First we have to factorize the each rational expressions.

$\frac{4x^2 - 9}{6x^2 + 13x + 6}$ ÷ $\frac{4x^2 - 1}{6x^2 + x -2}$

= $\frac{(2x - 3)(2x + 3)}{(3x + 2)(2x + 3)}$ ÷ $\frac{(2x+1)(2x -1)}{(2x -1)(3x +2)}$

Now we can cancel out (2x + 3) and (2x -1) since they are common factor both in the numerator and the denominator, so we get

= $\frac{2x - 3}{3x + 2}$ ÷ $\frac{2x + 1}{3x + 2}$

Step 2: If we have fraction over fraction, we can flip the second fraction and multiply.

= $\frac{2x - 3}{3x + 2}$ x $\frac{3x + 2}{2x + 1}$

Now we can cancel out (3x + 2), so we get

= $\frac{2x-3}{2x+1}$

Thefore, the answer is B.

Thank you.

6 0

3 years ago

Read 2 more answers

2x+3y= -1<br> 3x+4y = -4

Mariana [72]

Answer:

Point Form- (-8,5)

Equation Form- x= -8, y= 5

Add the equations in order to solve for the first variable. Plug this value into the other equation in order to solve for the remaining variables.

3 0

3 years ago

89 is 70% of what number?

expeople1 [14]

Solve 89 = .7x and you will get 127.14

4 0

3 years ago

Read 2 more answers

Carolina has a piece of fabric that is 1/8 yards in length. Robin has a piece of fabric that is 3/4 yards in length. How many ti

Andrew [12]

6x time longer.
If you make 3/4 into Eighths, you get 6/8
You multiple 1/8, 6 times, to get 6/8.

4 0

3 years ago