Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was <span><span>\$43.25<span>$43.25</span></span>dollar sign, 43, point, 25</span><span>. He had to pay a </span><span><span>\$7<span>$7</span></span>dollar sign, 7</span><span> entrance fee and </span><span><span>\$1.25<span>$1.25</span></span>dollar sign, 1, point, 25</span>for every minute he was on the trampoline.<span><span>Write an equation to determine the number of minutes </span><span><span>(t)<span>(t)</span></span>left parenthesis, t, right parenthesis</span><span> that Raymond was on the trampoline.</span></span>
Step-by-step explanation:
as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.
v(t) = 60×ln(t + 1)
V(t) = 60 × integral(ln(t + 1)) between 0 and 5.
integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C
V(t) = 60 × ((t + 1)ln(t + 1) - t + C)
the distance traveled between t = 0 and t = 5 is then
60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =
= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =
= 60×(5.750556815... + C) - 60×C =
= 60×5.750556815... = 345.0334089... ≈ 345 km
Answer: .........34,650
Step-by-step explanation:
The answer is 64 because they are alternate interior angles. Alternate interior angles are always congruent.
Answer: 43
Step-by-step explanation: 37 + 24 = 61
61 - 18 = 43
