Fraction are ratio of two integers. It will take Amen 20 days to do the task alone
<h3>Proporions and fractions</h3>
From the given question, we have the following information
Let the number of days Amen can take to complete a task be x
If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x
If they both pick up a task together, and complete it in 5 days, then;
1/x + 1/3x = 1/5
Find the LCM
3+1/3x = 1/5
4/3x = 1/5
Cross multiply
3x = 20
Determine the time taken by Amen:
x =20/3
This shows that it will take Amen 20 days to do the task alone
Learn more on proportions here: brainly.com/question/19994681
Answer:
- Interests charged for 4 years: $80
- Total amount to pay back:$480
Step-by-step explanation:
- To know the future value of an specific amount that is borrowed from a bank we use the following equation:
, where FV is future value, PV present value, n the amount of periods and i the interest rate. - In this particular case, the present value of the loan is $400, n=4 (4 years), i=5%. Then the future value equals:
. Then FV= $480, which is the total amount of money she would have to return in 4 years. - The interest paid can be calculated as the total amount paid ($480) minus the inicial loan ($400), which means that total interests paid= FV- PV= $80.
The value of four are in the hundreds place
The key thing to look for to determine whether a sequence is geometric is to see whether the ratio between consecutive terms - the number I would multiply one term by to get the next - is constant.
By inspection, we see that the fourth answer choice satisfies that, as
Why not the first? We have 
The third choice is not a geometric sequence, but rather an arithmetic sequence, where the difference between consecutive terms is constant. Just to make sure that it isn't geometric, we compute 
The second sequence is not geometric (although it does eventually converge to 1, but not its corresponding series), as 
7!!!!!!!!!!!!!!!!!!!!!!!!!!!!