1. Given that y = 1.6
−x
, write an equivalent equation in the form y = b
x
, with 0 < b < 1
y=_____________
2. If $1200 is invested for x years at 8%, compounded quarterly, the future value that
will result is represented by the following equation.
S = 1200(1.02)
4x
What amount will result in 4 years? (Round your answer to the nearest cent.)
$______________
3. The purchasing power P of a fixed income of $20,000 per year (such as a pension)
after t years of 7% inflation can be modeled by
P = 20,000(1.07)
−t
.
(a) Find the purchasing power after 5 years. (Round your answer to the nearest
dollar.)
$_______________
(b)Find the purchasing power after 20 years. (Round your answer to the nearest
dollar.)
$________________
4. If $1000 is invested for x years at 10%, compounded continuously, the future value
that results is
S = 1000e
0.10x
.
What amount will result in 3 years? (Round your answer to the nearest cent.)
$______________
5. Solve the equation.
log(x) = 6
x=__________
6. Solve for x by writing the equation in exponential form.
log(3x − 4) = 2
x=______________
7. Solve for x by writing the equation in exponential form. (Round your answer to three
decimal places.)
ln(2x + 4) = 2.3
