Answer:
$102,677.20
Step-by-step explanation:
The present value of an annuity due is determined by the following expression:

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.
With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

The present value of your winnings is $102,677.20.
Answer:
you need 100ml of 5X TAE and 400ml of water.
Step-by-step explanation:
You need to use a rule of three:

where:

and

Therefore:


Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.
Let the total ribbon Zoe had was x feet.
Out of x feet, she used 3/8 part of it.
Hence, 
3/8 part of the original ribbon is equal to 9 feet.
Hence, we get

=> Multiply 8 on both sides.

Divide both sides by 3


Zoe had 24 feet of ribbon in starting... Answer
The answer is 5/8 ( i think)