Write the indicated expression.
-The price of Investor Growth mutual fund is 23% greater than the price of Investor Value mutual fund. Write an expression for the sum of Growth and Values mutual funds. Let n represent the Investor Value.
A) 2n + (n + 0.23n)
B) n + (n + 0.23n)
C) n + 0.23n
D) n + (n - 0.23n)

Question

Quizplus · Accepted Answer

The expression for the sum of the two mutual funds would be n (Investor Value) plus the price of Investor Growth, which is 23% greater than the price of Investor Value, or 0.23n. Therefore, the expression is n + (n + 0.23n), which simplifies to 2n + 0.23n, or option B. Option A adds an extra n that is not necessary, while option C only includes the price of Investor Value and not Investor Growth. Option D subtracts the 23% increase instead of adding it. The expression for the sum of Growth and Value mutual funds should include the price of both funds. Let's call the price of Investor Growth x. We know that x is 23% greater than the price of Investor Value which is represented by n. So we can write x = n + 0.23n or x = 1.23n. The sum of the prices of both funds would be n + x, which can be simplified as n + 1.23n or 2.23n. This matches option B: n + (n + 0.23n), which simplifies to 2n + 0.23n or 2.23n. Therefore, option B is the correct choice.

Write the Indicated Expression