4. Currently, you have \( \$ 80 \) and your sister has \( \$ 145 \). You decide to save \( \$ 6 \) of your allowance each week, while your sister decides to spend \( \$ 7 \) each week. How long will it be before you have as much money as your sister! Define the variable: W Write the equation: Solve the equation in the space below. Show your work.

D. \( 10-4(m+1) \)

Olivia ran \( 161 / 3 \) miles and walked 9 miles. How much farther did Olivia run than walk? Write your answer as a fraction or as a whole or mixed number. Submit

When studying radioactive material, a nuclear engineer found that over 365 days, \( 1,000,000 \) radioactive atoms decayed to 973,521 radioactive atoms, so 26,479 atoms decayed during 365 days a. Find the mean number of radioactive atoms that decayed in a day b. Find the probability that on a given day, 51 radioactive atoms decayed. a. The mean number of radioactive atoms that decay per day is 72.545 (Round to three decimal places as needed.) b. The probability that on a given day, 51 radioactive atoms decayed, is (Round to six decimal places as needed)

What is the equation of the line through point \( (2,1) \) and perpendicular to the line through \( (-4,1) \) and \( (3,-2) \) ? I \( y=\frac{7}{3} x+\frac{11}{3} \quad \) go to station 8 \( \begin{array}{ll}\text { a) } y=\frac{3}{7} x+\frac{11}{3} & \text { go to station } 1 \\ \text { c) } y=-\frac{3}{7} x-\frac{11}{3} & \text { go to station } 10 \\ \text { d) } y=\frac{7}{3} x-\frac{11}{3} & \text { go to station } 5\end{array} \)

Solve the problems. (1) The length of a rectangle is \( y \) times its width. The width of the rectangle is \( 4 y^{2} \). a. What is the area of the rectangle? b. If \( y \) is 4 , what is the area?