Minimum Payments for Credit Cards Holders of credit cards issued by banks, department stores, oil companies, and so on receive bills each month that state minimum amounts that must be paid by a certain due date. The minimum due depends on the total amount owed. One such credit card company uses the following rules: For a bill of less than $ 10 , the entire amount is due. For a bill of at least $ 10 but less than $ 500 , the minimum due is $ 10 . A minimum of $ 30 is due on a bill of at least $ 500 but less than $ 1000 , a minimum of $ 50 is due on a bill of at least $ 1000 but less than $ 1500 , and a minimum of $ 70 is due on bills of $ 1500 or more. Find the function f that describes the minimum payment due on a bill of x dollars. Graph f .
Minimum Payments for Credit Cards Holders of credit cards issued by banks, department stores, oil companies, and so on receive bills each month that state minimum amounts that must be paid by a certain due date. The minimum due depends on the total amount owed. One such credit card company uses the following rules: For a bill of less than $ 10 , the entire amount is due. For a bill of at least $ 10 but less than $ 500 , the minimum due is $ 10 . A minimum of $ 30 is due on a bill of at least $ 500 but less than $ 1000 , a minimum of $ 50 is due on a bill of at least $ 1000 but less than $ 1500 , and a minimum of $ 70 is due on bills of $ 1500 or more. Find the function f that describes the minimum payment due on a bill of x dollars. Graph f .
Solution Summary: The author explains how the function f describes the minimum payment due on a bill of x dollars. The minimum due depends on the total amount owed.
Minimum Payments for Credit Cards
Holders of credit cards issued by banks, department stores, oil companies, and so on receive bills each month that state minimum amounts that must be paid by a certain due date. The minimum due depends on the total amount owed. One such credit card company uses the following rules: For a bill of less than
, the entire amount is due. For a bill of at least
but less than
, the minimum due is
. A minimum of
is due on a bill of at least
but less than
, a minimum of
is due on a bill of at least
but less than
, and a minimum of
is due on bills of
or more. Find the function
that describes the minimum payment due on a bill of
dollars. Graph
.
j)
f) lim
x+x ex
g) lim Inx
h) lim x-5
i) lim arctan x
x700
lim arctanx
811x
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
I just need help with evaluating these limits.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
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