Designer Dolls found that the number of its Dress Up Doll sold, \( N \), varies directly with their advertising budget, \( A \), and inversely with the price of each doll, \( P \) When \( \$ 54,000 \) is spent on advertising and the price of the doll is \( \$ 90 \), then 9600 units are sold. Determine the number of dolls sold if the amount of the advertising budget is increased to \( \$ 144,000 \).

Kira took out a \( \$ 9000 \) loan for 7 months and was charged simple interest. The total interest she paid on the loan was \( \$ 336 \). As a percentage, what was the annual interest rate of Kira's loan? Do not round any intermediate computations. If necessary, refer to the list of financial formulas.

Use synthetic division and the remainder theorem to find the remainder when \( f(x) \) is \( f(x)=4 x^{3}-3 x^{2}-4 x+2 ; x+6 \)

Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations. \( 150 e^{0.3}=\square \)

23 In a linear pattern, the \( 7^{* *} \) term is 16 and the \( 20^{\text {m }} \) term is 42 . Determine the first three (4) terms of the pattern.

\( P = \int 6 x ( 3 x ^ { 2 } + 2 ) ^ { 4 } d x \)