1.Solve the following exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.

(4^x)-20 * (2^x) = -100

What is the exact answer? Simplify your answer

2. A zero-coupon bond is a bond that is sold now at a discount and will pay its face value at the time when it matures; no interest payments are made.A zero-coupon bond can be redeemed in 20 years for $10,000.

How much should you be willing to pay for it now if you want a return of:

(a) 33% compounded quarterly question mark quarterly?

(b) 33% compounded continuously?

Round to the nearest cent as needed.