Express as a power of e.(a)

e⁹e³

e^5/e³

e⁸e⁴

e⁵e

Find the value of $1200 deposited in a bank at 10% interest for 10 years compounded in the following ways

A. annually$

B. quarterly $

continuously$

A rich uncle wants to make you a millionaire. How much money must he deposit in a trust fund paying 6% compounded quarterly at the time of your birth to yield $1,000,000 when you retire at age 55? (Round your answer to the nearest cent.)

A corporation recently sold zero-coupon $400 bonds maturing in 4 years with an annual yield of 12%. Find the price. [Hint: The price is the present value of $400 4 years from now at the stated interest rate.] (Round your answer to the nearest cent.)

A new car lists for $16,480 and depreciates by 45% per year. Find its value after the following amounts of time. (Round your answers to the nearest dollar.)

(a)2 years$

(b)3 months$

According to the Bouguer-Lambert Law, the proportion of light that penetrates ordinary seawater to a depth of x feet is

e^0.44x.

Find the proportion of light that penetrates to the following depths.(a)3 feet (Round your answer to one decimal place.)

9 feet (Round your answer to two decimal places.)

A covered mug of coffee originally at 220 degrees Fahrenheit, if left for t hours in a room whose temperature is 60 degrees, will cool to a temperature of

60 + 160e^1.9t

degrees. Find the temperature of the coffee after the following amounts of time. (Round your answers to the nearest degree.)

(a) 45 minutes

(b) an hour

An investment of $9000grows to $10,299.35in 4 years. Find the annual rate of return for annual compounding. [Hint: Use

P

1 +

r

m

	mt

with

m= 1

and solve forr(rounded to one decimal place).]r= %