Answer:
a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.
b. 10 minutes
c. 6 minutes
Step-by-step explanation:
Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.
Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.
a.
J(x)=-13.9-7.5x
J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4
a(x)=-97.3=+6.4x
a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1
b.
a(x)=-97.3=+6.4x
-33.3=-97.3=+6.4x
64=6.4x
x=10
c.
when divers are at the same depth, J(x)=a(x)
J(x)=a(x)
-13.9-7.5x=-97.3=+6.4x
83.4=13.9x
x=6
Answer:
25
Step-by-step explanation:
Answer:
D) Over $4,000,000
Step-by-step explanation:
On the last day, the worker is paid $0.07*2²⁵ (it's by the power of 25 because it's 0 on the first day), which is $2,348,810.24. That means that the amount of money earned on all other days are $2,348,810.37, since 2⁰ + 2¹ + 2² + 2³... + 2ⁿ⁻² + 2ⁿ⁻¹ = 2ⁿ + 1.
That totals to approximately $4.6 million dollars, which is larger than $4 million.
It would be very likely that it would land heads up, about 100 times. its a 50/50 chance
