Acollege used a $5,000 gift from an alumnus to make two student loans. the first was at 5% annual simple interest to a nursing student. the second was at 7% annual simple interest to a business major. if the college collected $310 in interest the first year, how much was loaned to each student?

Hello,

Let x the amount allocated to the 1 student
Let y the amount allocated to the 2 student

x+y=5000
5/100 *x +7/100 * y =310

==>
5x+7y=31000 (1)
x+y=5000 (2)
(1)-5*(2)==>
2y=6000 ==>y=3000 and x=5000-3000=2000
Proof:
2000+3000=5000
5/100*2000+7/100*3000=100+210=310

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c