1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Trava [24]
3 years ago
9

Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest ar

ticle says that 1 36 of her salary should be put into a retirement account. If she makes $63,000 a year, how much will she put into her retirement account each month (rounded to the nearest dollar)?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0
If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.

1.36/100=0.0136

1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.

856.8/12=71.<span>4
</span>Rounded to the nearest dollar is $71.

Heather would put $71 into a retirement account each month.
<em>
</em><em>Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.</em>


You might be interested in
Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0
grigory [225]

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi }  \\V = \frac{1}{\pi } -[40cos\pi  - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

Learn more about mean volatage here:

brainly.com/question/17928028

7 0
2 years ago
A recent article reported that a job awaits only one in three new college graduates. The major reasons given were an overabundan
nikitadnepr [17]

Answer:

z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105  

p_v =P(z>2.105)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .  

Step-by-step explanation:

1) Data given and notation  

n=200 represent the random sample taken

X=80 represent the number of students that had jobs

\hat p=\frac{80}{200}=0.4 estimated proportion of students that had jobs

p_o=0.3333 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of students that have jobs at the school mentioned is higher than the reported value at the article:  

Null hypothesis: p\leq 0.33  

Alternative hypothesis:p > 0.33  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.105)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .  

7 0
3 years ago
The sum of three numbers is 104. The first number is 6 less than the second. The third number is 3 times the second. What are th
lara [203]
We can write this in math as x+y+z=104, x=y-6, and z=3y

Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.

y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.

Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.

The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.

The third equation z = 3y can be written as z = 3(22) or z = 66.

Our three numbers are 16, 22, and 66. Hope this helps you!
8 0
2 years ago
Solve the system by graphing . Check your solution . Attach your graph in the file upload
beks73 [17]
Here! :) i hope this helps bunny!

6 0
3 years ago
2.5/6 = h/9 h=? What does this mean
omeli [17]

Answer:

h = 3.75

Step-by-step explanation:

Step 1: Write equation

2.5/6 = h/9

Step 2: Solve for <em>h</em>

  1. Cross multiply: 22.5 = 6h
  2. Divide both sides by 6: 3.75 = h
  3. Rewrite: h = 3.75

Step 3: Check

<em>Plug in h to verify it's a solution.</em>

2.5/6 = 3.75/9

0.416667 = 0.416667

5 0
3 years ago
Read 2 more answers
Other questions:
  • jane walked 4/5 mile on monday on tesday she wwalked 1//2 of the distance she walked on monday how many miles she walked on tues
    6·2 answers
  • What are some ways in which companies can attract and retain employees?
    6·1 answer
  • Place the following numbers in order from greatest to least.<br> 5/12,41%, 0.51, 4/25, 3.9%, 0.2
    7·2 answers
  • What would this problem be factored to ? a^2-b^2
    6·1 answer
  • Pls pls pls help me!!!!
    6·1 answer
  • Simplify the algebraic expression: 7x2 + 6x – 9x – 6x2 + 15. A) x2 + 15x + 15 B) x2 – 3x + 15 C) 13x2 + 3x + 15 D) x4 – 3x + 15
    5·2 answers
  • Which operation should be performed first according to the order of operations? 75 – 12 + 36 ÷ 3 + 14 • 8 A. 12 + 36 B. 75 – 12
    15·2 answers
  • What is the first step in evaluating the expression shown below?
    5·1 answer
  • The slope represents the ________ of a line.
    10·1 answer
  • On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!