31. A can of mixed nuts consists of peanuts, cashew nuts and almonds. In the original packing, the three types of nuts are of equal weight. In the new packing, the weights of peanuts and almonds changes by \( +20 \% \) and \( +8 \% \) respectively while the overall weight of the three types of nuts changes by \( +5 \% \). What is the percentage change in the weight of cashew nuts?

Find the principal needed now to get the given amount; that is, find the present value. To get \( \$ 1000 \) after \( 1 \frac{1}{4} \) years at \( 4 \% \) compounded daily The present value of \( \$ 1000 \) is \( \$ \square \). (Round to the nearest cent as needed.)

Solve the equation \( \frac{x+3}{2}=5-\frac{x}{2}+5 \) What is the solution? Select the correct ch A. The solution set is \( \{ \) B. The solution set is \( \{x \mid x \) is a real nt C. The solution set is \( \varnothing \).

Write the complex number in polar form with \( 0 \leq \theta<2 \pi \). Write your answer as a simplified fraction, Part: \( \mathbf{0} / \mathbf{2} \) Part 1 of 2 (a) \( 24+32 i \)

Using the Law of Sines to solve the triangle if \( \angle A=39^{\circ}, \angle C=73^{\circ}, b=10 \) \[ \angle B= \] \[ a= \] Note: Assume \( \angle A \) in degrees opposite side \( a, \angle B \) is opposite side \( b \), and \( \angle C \) is opposite side \( c \).

Wite a two paragraph persuasive essay on the topic, "The Best Petis (Provide a claim, reasons and evidence)