Two siblings, Matthew and Katie, are working hard to save money to go on a summer trip with their family. Both started with some money, and they both have jobs where they are paid by the hour. The following graph shows their projected savings:

Matthew's projected savings is modeled by:

m(t )= 12.50t + 350

Katie's projected savings is modeled by:

k(t) = 10t + 425

In both functions, t is the number of hours worked.

How much money will Katie have saved after working 20 hours?

options:

$450

$625

$575

$600

() at a farm, animals are fed bales of hay and buckets of gain. each bale of hay is in the shape of a rectangular prism. the base side lengths 2 feet and 3 feet, and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

Which statement about the relative areas of δabc and δxyz is true? the area of δabc > the area of δxyz the area of δabc < the area of δxyz the area of δabc = the area of δxyz more information is needed to compare.

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x