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
Stells [14]
3 years ago
8

rita promises to give her 12–year–old daughter $12,000 when she turns 18. how much does she need to put in the bank now if the i

nterest rate is 12 percent per year?
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0
$<span>6079.58 is how much she'd have to put in now.</span>
You might be interested in
5) In a certain supermarket, a sample of 60 customers who used a self-service checkout lane averaged 5.2 minutes of checkout tim
Ne4ueva [31]

Answer:

\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643

S_p=2.940

t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751

df=60+72-2=130

p_v =P(t_{130}

Assuming a significance level of \alpha=0.05 we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

Step-by-step explanation:

Data given

Our notation on this case :

n_1 =60 represent the sample size for people who used a self service

n_2 =72 represent the sample size for people who used a cashier

\bar X_1 =5.2 represent the sample mean for people who used a self service

\bar X_2 =6.1 represent the sample mean people who used a cashier

s_1=3.1 represent the sample standard deviation for people who used a self service

s_2=2.8 represent the sample standard deviation for people who used a cashier

Assumptions

When we have two independent samples from two normal distributions with equal variances we are assuming that  

\sigma^2_1 =\sigma^2_2 =\sigma^2

The statistic is given by:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

And t follows a t distribution with n_1+n_2 -2 degrees of freedom and the pooled variance S^2_p is given by this formula:

\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

System of hypothesis

Null hypothesis: \mu_1 \geq \mu_2

Alternative hypothesis: \mu_1 < \mu_2

This system is equivalent to:

Null hypothesis: \mu_1 - \mu_2 \geq 0

Alternative hypothesis: \mu_1 -\mu_2 < 0

We can find the pooled variance:

\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643

And the deviation would be just the square root of the variance:

S_p=2.940

The statistic is given by:

t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751

The degrees of freedom are given by:

df=60+72-2=130

And now we can calculate the p value with:

p_v =P(t_{130}

Assuming a significance level of \alpha=0.05 we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

5 0
3 years ago
Len wants to write the number 100000 using a base of 10 and an exponent. What number should he use as the exponent
salantis [7]
10 to the 5th power which equals 100,000
6 0
3 years ago
Read 2 more answers
Help!!!! Number 4 right answer
USPshnik [31]
The answer would be 0 solutions.

Here, we see <em>|</em><em />x+6<em>|</em><em /> = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?

That is called absolute value. Whatever is inside the two lines, must have a positive answer!

Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.

Let's put in -6.

-6 ==> BEEP BEEP ==> 6

Let's try 3.

3 ==> BEEP BEEP ==>3

Whatever we put in, if it is negative or positive, what comes out is always positive.  

So, for how many values <em>x</em> is |x+6|=-2 true?

None, because the answer <em>must</em><em /> be positive! 
-2 is not positive, <em>2</em><em /> is.

8 0
3 years ago
Please Help Quick ASAP Hurry This is Pre-Algebra 1
Svet_ta [14]

Answer:

d=1.4

Step-by-step explanation:

cuz 10-1.4=8.6

6 0
3 years ago
Read 2 more answers
Solve the equation. Round the answer to the nearest tenth.<br> 5*6^3n=20
solniwko [45]

Step-by-step explanation:

5×6'3n=20

30'3n=20

3n=20-30

3n/3= -10/3

n= -3

7 0
3 years ago
Other questions:
  • the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre
    10·1 answer
  • Please help. 10 points. Please do not guess. Guesses will be reported. Thanks
    6·1 answer
  • Find the angle with a tangent ratio of 0.6009.
    11·2 answers
  • The diagonals of a rhombus are _____
    6·1 answer
  • Before paying employee bonuses and state and federal taxes, a company earns profits of $103,000. The company pays employees a bo
    15·1 answer
  • Determine the most precise name for quadrilateral ABCD. Answers: parallelogram quadrilateral rhombus kite angles: (7,6) (3,5) (2
    14·1 answer
  • A lamp pole with a height of 10 ft casts a shadow of 3 ft. What is the height of a building that casts a shadow of 15 ft at the
    8·1 answer
  • Look at the spinner above and answer the following questions:
    5·2 answers
  • Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3
    8·2 answers
  • I have a test please someone help me I need this asp
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!