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Problem 46

What percent of \(7.5\) is \(0.6\) ?

Problem 47

Two accounts each begin with a deposit of \(\$ 5000\). Both accounts have rates of \(5.5 \%\), but one account compounds interest once a year while the other account compounds interest continuously. Make a table that shows the amount in each account and the interest earned after 1 year, 5 years, 10 years, and 20 years.

Problem 48

Suppose that the local sales tax rate is \(7 \%\) and you purchase a graphing calculator for \(\$ 96\). a. How much tax is paid? b. What is the calculator's total cost?

Problem 49

Parents wish to have \(\$ 80,000\) available for a child's education. If the child is now 5 years old, how much money must be set aside at \(6 \%\) compounded semiannually to meet their financial goal when the child is 18 ?

Problem 49

An exercise machine with an original price of \(\$ 860\) is on sale at \(12 \%\) off. a. What is the discount amount? b. What is the exercise machine's sale price?

Problem 50

A dictionary that normally sells for \(\$ 16.50\) is on sale at \(40 \%\) off. a. What is the discount amount? b. What is the dictionary's sale price?

Problem 55

An account has a nominal rate of \(4.2 \%\). Find the effective annual yield, rounded to the nearest tenth of a percent, with quarterly compounding, monthly compounding, and daily compounding. How does changing the compounding period affect the effective annual yield?

Problem 55

A sofa regularly sells for \(\$ 840\). The sale price is \(\$ 714\). Find the percent decrease of the sale price from the regular price.

Problem 56

How much should you deposit at the end of each month in an IRA that pays \(8 \%\) compounded monthly to earn \(\$ 60,000\) per year from interest alone, while leaving the principal untouched, when you retire in 30 years?

Problem 57

Suppose that you have \(\$ 10,000\) in a rather risky investment recommended by your financial advisor. During the first year, your investment decreases by \(30 \%\) of its original value. During the second year, your investment increases by \(40 \%\) of its first-year value. Your advisor tells you that there must have been a \(10 \%\) overall increase of your original \(\$ 10,000\) investment. Is your financial advisor using percentages properly? If not, what is your actual percent gain or loss of your original \(\$ 10,000\) investment?

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