Answer:
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Trapezoid formula is
A + b over 2 (h)
46 + 26 over 2 times 19 = 684
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H(t)=-16t^2+15t+12
(e)
maximum height is reached when h'(t)=-32t+15=0, or tm=15/32 seconds.
maximum height reached = h(tm)=h(15/32)=-16(15/32)^2+15(15/32)+12
=993/64 ft
=15.516 ft.
(f) when Greg reaches water, h(t)=0=-16t^2+15t+12
Solve for t using quadratic formula,
t=[-15+/- sqrt(15^2+4*12*16)]/(2*-16)
=-0.516s or 1.4535s.
Reject negative root so
Greg reaches water at t=1.4535 seconds.
Answer:
Interest earned: 343.75
Balance at maturity: 2843.75
Step-by-step explanation:
simple interest formula
P(1+it)
interest earned:
(interest earned is the ending balance minus the beginning balance)
2500(1+.055*(30/12))-2500= 343.75
Balance at maturity
2500(1+.055*(30/12))= 2843.75
(another way to solve this part is to just add 343.75 (the interest earned) to the beginning balance)
