Part of $10,000 Is Invested at 9%, Another Part at 10

question 52

Multiple Choice

Part of $10,000 is invested at 9%, another part at 10%, and the remainder at 12% yearly interest. The total yearly income from the three investments is $1,075. The sum of the amounts invested at 9% and 10% equals the amount invested at 12%. How much is invested at each rate?

• A)$2,500 at 9%, $2,500 at 10%, and $5,000 at 12%
• B)$3,500 at 9%, $3,500 at 10%, and $4,000 at 12%
• C)$1,500 at 9%, $3,500 at 10%, and $5,000 at 12%
• D)$3,500 at 9%, $2,500 at 10%, and $4,000 at 12%
• E)$1,500 at 9%, $1,500 at 10%, and $6,000 at 12%

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Definitions:

Slope Coefficients

In linear regression, the slope coefficient measures the rate of change in the dependent variable for a one-unit change in the independent variable.

Dependent Variable

A variable in statistical modeling, experiments, or observations that is expected to change as a result of manipulations in the independent variable(s).

Independent Variables

Variables that are manipulated or categorically varied by researchers in an experiment to determine their effect on dependent variables.

Multicollinearity

Refers to a situation in statistics where independent variables in a regression model are highly correlated, potentially leading to difficulties in estimating the relationship between each independent variable and the dependent variable.