Interest and Logs
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74). Find the present value of $45,000 if interest is 3.6% compounded monthly for 1 year.
72). Write each expression as a single logarithm with coefficient Assume all variables represent positive real numbers.
82). Given and . Find each logarithm without using a calculator.
56). A virgin forest in northwestern Pennsylvania has 4 species of large trees with the following proportions of each: hemlock, .521; beech, .32; birch, .081; maple, .074. Find the measure of diversity H.
24). Solve each equation
60). Solve each equation
In t, for t
76). At what interest rate, to the nearest hundredth of a percent, will $16,000 grow to $20,000 if invested for 5.25 yr and interest is compounded quarterly.
94). Work using this equation
a. The given equation is equivalent to . Factor the left side of this equation.
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Solution Summary
This solution explains:
1) How to calculate interest.
2) How to convert and solve logarithmic functions.
Solution Preview
74). Find the present value of $45,000 if interest is 3.6% compounded monthly for 1 year.
The formula for compound interest is:
P is the principal (45,000), r is the rate (0.036), n is the number of times compounded (12), and t is the number of years (1). Plugging in these values, you can solve:
72). Write each expression as a single logarithm with coefficient Assume all variables represent positive real numbers.
If the logs have the same base, then an addition will end up as a multiplication inside the log:
Any subtraction will end up as division:
82). Given and . Find ...
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