Janet wins the lottery and receives $100 the first year. in the following years, she receives $50 more each year. (that is, janet receives $150 the second year, $200 the third year, and so on.) how much will janet receive, in total, after 10 years?

a. $1,450
b. $2,500
c. $1,500
d. $3,250

Hurry and answer this! circle x with a radius of 6 units and circle y with a radius of 2 units are shown which steps would prove the circles similar? translate the circles so they share a common center point, and dilate circle y by a scale factor of 4. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 4. translate the circles so they share a common center point, and dilate circle y by a scale factor of 3. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 3

1yd 1 ft = 1 1/12 1 1/3 1 1/2 1 1/6

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =