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A sum of \(\$ 2300\) is invested, part of it at \(10 \%\) interest and the remainder at \(12 \%\). If the interest earned by the \(12 \%\) investment is \(\$ 100\) more than the interest earned by the \(10 \%\) investment, find the amount invested at each rate.

For Problems \(33-42\), match the correct formula for each statement. $$ \text { Volume of a right circular cylinder F. } A=b h $$

Jeff leaves home on his bicycle and rides out into the country for 3 hours. On his return trip, along the same route, it takes him three-quarters of an hour longer. If his rate on the return trip was 2 miles per hour slower than on the trip out into the country, find the total roundtrip distance.

Use the formula \(i=P n\) to reach a solution. (Objective A) Find the annual interest rate if \(\$ 560\) in interest is earned when \(\$ 3500\) was invested for 2 years.

If \(\$ 3000\) is invested at \(9 \%\) interest, how much money must be invested at \(12 \%\) so that the total return for both investments averages \(11 \%\) ?

Use proportions to change each common fraction to a percent. $$\frac{3}{5}$$

In \(1 \frac{1}{4}\) hours more time, Rita, riding her bicycle at 12 miles per hour, rode 2 miles farther than Sonya, who was riding her bicycle at 16 miles per hour. How long did each girl ride?

Use the formula \(i=P n\) to reach a solution. (Objective A) How much interest will be charged on a student loan if \(\$ 8000\) is borrowed for 9 months at a \(19.2 \%\) annual interest rate?

A sum of \(\$ 6000\) is invested, part of it at \(5 \%\) interest and the remainder at \(7 \%\). If the interest earned by the \(5 \%\) investment is \(\$ 160\) less than the interest earned by the \(7 \%\) investment, find the amount invested at each rate.

Use proportions to change each common fraction to a percent. $$\frac{7}{25}$$