Matthew invested $5000 in an account that earns 3.8% interest, compounded annually. The formula for compound interest is A(t)=P(1+i)^t How much did Matthew have in the account after 3 years?

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The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Me solve this problem, and someone clearly explain to me how to solve it.1.) use the value of the discriminant to determine if the given trinomials has 2 real solutions, 1 real solution, or no real solutions.a.  x2  − 4x  − 7 = 0b. 4r2  + 11r  − 3 = 0c. 3m2  + 7 = 0d.  t2  + 2t  + 1 = 0

In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. if the the flagpole is 18 ft tall, how tall is the building? round the the nearest tenth.