Marcus and Tim were given some money each. If Marcus and Tim spent $45 and $30 respectively each day, Marcus would have $750 left when Tim had spent all his money. If Marcus and Tim spent $45 and $60 each day, Marcus would have $1065 when Tim had spent all his money. How much was given to the boys altogether?

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Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.

Kite abcd is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over the x-axis. what is the location of point a after the transformations are complete?