250 boys and girls shared a sum of money. The average amount each child received was \( \$ 69.88 \). The average amount each boy received was \( \$ 55 \) and the average amount each girl received was \( \$ 85 \). How much more money did the girls receive than the boys?

Find the derivative of the following function. \[ y=4 x^{2}+7 \cos x \] \( d y \)

An insurance company will insure a \( \$ 280,000 \) home for its total value for an annual premium of \( \$ 580 \). If the company spends \( \$ 30 \) per year to service such a policy, the probability of total loss for such a home in a given year is 0.001 and you assume either total loss or no loss will occur, what is the company's expected annual gain (or profit) on each such policy?

Question Factor completely: \( y^{6}-1 \) Provide your answer below:

Solve for \( x \) and graph the solution on the number line below. \[ -32<-4 x \]

Use the decimal point pattern diagrams above to help you find each product or quotient.