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Evaluating Exponential Expressions



 1 

The height, mc001-1.jpg, of a bouncing ball after x bounces is represented by mc001-2.jpg.  How many times higher is the first bounce than the fourth bounce?
a)
8
c)
16
b)
2
d)
4
 

 2 

A population, mc002-1.jpg, of wild turkeys in a certain area is represented by the function mc002-2.jpg, where x is the number of years since 2010.  How many more turkeys will be in the population for the year 2015 than 2010?
a)
46
c)
51
b)
49
d)
68
 

 3 

If $5000 is invested at a rate of 3% interest compounded quarterly, what is the value of the investment in 5 years?  (Use the formula mc003-1.jpg, where A is the amount accrued, P is the principal, r is the interest rate, n is the number of times per year the money is compounded, and t is the length of time, in years.)
a)
$5190.33
c)
$5805.92
b)
$5796.37
d)
$5808.08
 

 4 

Yusef deposits $50 into a savings account that pays 3.25% interest compounded quarterly.  The amount, A, in his account can be determined by the formula mc004-1.jpg, where P is the initial amount invested, r is the interest rate, n is the number of times per year the money is compounded, and t is the number of years for which the money is invested.  What will his investment be worth in 12 years if he makes no other deposits or withdrawals?
a)
$55.10
c)
$232.11
b)
$73.73
d)
$619.74
 

 5 

The formula to determine continuously compounded interest is mc005-1.jpg, where A is the amount of money in the account, P is the initial investment, r is the interest rate, and t is the time, in years.  Which equation could be used to determine the value of an account with an $18,000 initial investment, at an interest rate of 1.25% for 24 months?
a)
mc005-2.jpg
c)
mc005-4.jpg
b)
mc005-3.jpg
d)
mc005-5.jpg
 

 6 

The amount of money in an account can be determined by the formula mc006-1.jpg, where P is the initial investment, r is the annual interest rate, and t is the number of years the money was invested.  What is the value of a $5000 investment after 18 years, if it was invested at 4% interest compounded continuously?
a)
$9367.30
c)
$10,129.08
b)
$9869.39
d)
$10,272.17
 



 
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