Answer:
x represent the value loaned at 15% and y represent the value loaned at 10%.
and 
Step-by-step explanation:
We are going to write a system of two linear equations. The first equation will represent the total amount loaned.

Now the second equation are will represent the interest earned for both loans.

Then x represent the value loaned at 15% and y represent the value loaned at 10%. Now solving the equation system we have:
using this in the other equation to find y







With the value of y we can find x


Answer:
ttd2
Step-by-step explanation:
38+0.11m=51+0.09m
0.02m=13
m=650 miles
If Austin will drive more than 650 miles he can choose the second plan of car renting.
If he plan todrive less than 650 miles then it's more preferable to choose the first plan of car renting
Using simple interest, we have that:
A) The interest due after 8 months is $11,272.33.
B) The total value of the investment will be of $189,986.24.
The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

In this problem:
- Deposit of $178,000, hence
. - Interest rate of 9.5% per year, hence
. - 8 months, the time is in years, hence

Item a:


The interest due after 8 months is $11,272.33.
Item b:
For the second interest, we consider
, hence:


The total value will be composed by:
- The initial deposit of $178,000.
- The first interest of $11,272.33.
- The second interest of $713,91.
Hence, it will be:

The total value of the investment will be of $189,986.24.
A similar problem is given at brainly.com/question/13176347