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
Answer:
He paid $33 dollars for the shoes
Step-by-step explanation:
(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
Variables represent unknowns. They are often letters (like x) but can also be other symbols like Greek numerics.
Hope this helps!!