At an aquarium, a tour of the shark tanks begins every 45 minutes. The dolphin show begins every 30 minutes. If the shark tour a
2 answers:
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Answer:
A(t) = 200+15t(1+0.02)^{t}
Step-by-step explanation:
Since the interest is calculated on the new balance every year.
Hence the formula used for compound interest is:
A = P(1+^{nt}
where, A =Amount after t years
P =Principal amount
200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t
r = rate each year (0.02)
t = time (in years) (t)
n = no. of times the interest is compounded in a year (n=1)
Therefore, the recursive formula is:
A(t) = 200+15t(1+0.02)^{t}
Let be the price of an adult ticket, and
the price of a child ticket.
The sentence "Three adults and four children must pay $122 for tickets" translates to
The sentence "Two adults and three children must pay $87" translates to
Which leads to the linear system
You can solve this system as you prefer, for example you can multiply the first equation by 2 and the second by 3 to get
Now subtract the first from the second:
Now plug this value for c in any of the equations, for example the first: