Simplify the Rational Expression A) 50
B) 100
C) 7
D) 10

question 372

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
-In an economics study, three quantities m, p, and q have been found to be related by the equation $$\mathrm { m } = \mathrm { p } ^ { 1 / 2 } \cdot \mathrm { q } ^ { 1 / 2 } \text {. Find } \mathrm { m } \text {, if } \mathrm { p } = 4 \text { and } \mathrm { q } = 25 \text {. }$$

• A) 50
• B) 100
• C) 7
• D) 10

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Definitions:

Compounded Monthly

Interest calculation method where interest is added to the principal balance monthly, leading to interest on interest.

Monthly Payments

Regular payments made each month on a loan, mortgage, or other financial agreement.

Amortization Schedule

A table detailing each periodic payment on a loan over time, breaking down the amounts going towards principal and interest.

Interest Rate

The proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage.