Suppose that P dollars in principal is invested in an account earning 2.1 % interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193 .03 in interest. a. Find the original principal. Round to the nearest dollar. b. Using the original principal from part (a) and the model A = P e r t , determine the time required for the investment to reach $6000 . Round to the nearest year.
Suppose that P dollars in principal is invested in an account earning 2.1 % interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193 .03 in interest. a. Find the original principal. Round to the nearest dollar. b. Using the original principal from part (a) and the model A = P e r t , determine the time required for the investment to reach $6000 . Round to the nearest year.
Solution Summary: The author calculates the original principal rounded off to the nearest dollar using the exponential growth model A=Pert.
Suppose that P dollars in principal is invested in an account earning
2.1
%
interest compounded continuously. At the end of 2 yr, the amount in the account has earned
$193
.03
in interest.
a. Find the original principal. Round to the nearest dollar.
b. Using the original principal from part (a) and the model
A
=
P
e
r
t
, determine the time required for the investment to reach
$6000
. Round to the nearest year.
After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked,
its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released.
s(t)=-16t² + 30t+3
a. How high will it go?
b. How long is it in the air?
+6x²+135x+1) (0≤x≤10). a) Find the number of units
The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+
that should be sold in order to maximize the total profit. b) What is the maximum profit?
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
College Algebra with Modeling & Visualization (5th Edition)
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