Answer :
The amount of money that you will need to pay them back after the 6 months is $2,070.
Given the following data:
Interest rate = 7% = 0.07.
Simple interest = $2000.
Time = 6 months.
Conversion:
12 months = 1 year.
6 months = 0.5 year.
How to calculate simple interest.
Mathematically, simple interest is given by this formula:
[tex]I=PRT[/tex]
Where:
- S.I is the simple interest.
- P is the principal or starting amount.
- R is the interest rate.
- T is the time measured in years.
Substituting the given parameters into the formula, we have;
[tex]I=2000 \times 0.07 \times 0.5[/tex]
I = $70.
Amount to be paid;
[tex]A=I+P\\\\\A=70+2000[/tex]
A = $2,070.
Read more on simple interest here: brainly.com/question/24341207