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
Artemon [7]
2 years ago
8

Rebecca deposited money into his retirement account that is compounded annually at an interest rate of 7%. Rebecca thought the e

quivalent quarterly interest rate would be 2%. Is Rebecca correct ? If she is, explain why. If she is not correct state what the equivalent quarterly interest rate is and show how you got your answer.
Mathematics
1 answer:
frutty [35]2 years ago
5 0

Answer:

Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.

Explanation:

The formula for compound interest is i = r/n.

r represents the interest rate in decimal form.

n represents the compounding periods in a year.

Calculate the interest rate for 7% compounded quarterly:

Since interest compounded quarterly is four times a year, n = 4.

7% is converted to decimal form by dividing by 100.

7 / 100 = 0.07

r = 0.07

Substitute these into the formula:

i = r/n

= 0.07/4

= 0.0175

0.0175 is in decimal form. To convert it to a percentage, multiply it by 100.

0.0175 X 100 = 1.75%

1.75% ≠ 2%

Therefore, Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.

You might be interested in
856 divided by 57 somebody please help?
fgiga [73]

Answer:

15.0175439

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
An observer took a time-exposure photograph of polaris and five nearby stars. how many hours were required to show their star pa
olga55 [171]
Photographing stars requires you to keep your exposure open for a long time. Taking pictures of star trails would take about 30 minutes to three hours. If you multiply that for the 6 stars stated above in the problem then you would be needing that much time if the stars were close and approximately 3 to 18 hours capture their star trails if they were far apart from each other.
5 0
2 years ago
A person purchased a slot machine and tested it by playing it 1,137 times. There are 10 different categories of outcomes, includ
ivann1987 [24]

Answer:

p_v= P(\chi^2_{9}>11.517)=0.2419

And on this case if we see the significance level given \alpha=0.1 we see that p_v>alpha so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

Step-by-step explanation:

A chi-square goodness of fit test determines if a sample data obtained fit to a specified population.

p_v represent the p value for the test

O= obserbed values

E= expected values

The system of hypothesis for this case are:

Null hypothesis: O_i = E_i[/tex[Alternative hypothesis: [tex]O_i \neq E_i

The statistic to check the hypothesis is given by:

\chi^2 =\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

On this case after calculate the statistic they got: \chi^2 = 11.517

And in order to calculate the p value we need to find first the degrees of freedom given by:

df=n-1=10-1=9, where k represent the number of levels (on this cas we have 10 categories)

And in order to calculate the p value we need to calculate the following probability:

p_v= P(\chi^2_{9}>11.517)=0.2419

And on this case if we see the significance level given \alpha=0.1 we see that p_v>alpha so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

6 0
3 years ago
John runs a computer software store. Yesterday he counted 135 people who walked by the store, 58 of whom came into the store. Of
vlada-n [284]

Answer:

my name is Thor the answer is false mark me in arsenal

3 0
3 years ago
What's one of the factors of x² - x – 6 ?
mr Goodwill [35]
x^2-x-6=x^2+2x-3x-6=x(x+2)-3(x+2)\\\\=\boxed{(x+2)(x-3)}

The factors are: (x+2) and (x-3).

x^2-x-6=x^2+\underbrace{2x-3x}_{=-x}-6\\\\=\underbrace{x\cdot\boxed{x}}_{=x^2}+\underbrace{2\cdot\boxed{x}}_{=2x}+\underbrace{\fbox{-3}\cdot x}_{=-3x}+\underbrace{\fbox{-3}\cdot2}_{=-6}=\boxed{x}(x+2)+\fbox{-3}(x+2)\\\\=(x+2)(x+(-3))=\boxed{(x+2)(x-3)}
8 0
3 years ago
Other questions:
  • Can you help with this one
    12·1 answer
  • As a manager for an advertising company, you must plan a campaign designed to increase Twitter usage. A recent survey suggests t
    12·1 answer
  • Which equation has a constant of proportionality equal to 4
    13·1 answer
  • Imagine you are given the diameter of a circle and asked to find its volume. Select the statement that describes what you should
    15·1 answer
  • All the dimensions of a triangle were multiplied by the same factor. If the base of the triangle went from 1 centimeter to 3 cen
    10·1 answer
  • Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her recta
    9·1 answer
  • Need help this is my last one i need can anybody help i don't get it thanks if you do help
    8·2 answers
  • Apply the distributive property to factor out the greatest common factor.<br> 24 + 18+ =
    15·2 answers
  • Describe the effect an increase in i, the interest rate applied to the present value, has on the monthly payment P in the formul
    8·1 answer
  • I need help with this question please. Just fo first question ignore wording below. Only apart of a homework practice
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!