Answer:
(3/4)*(1/5) is equal to 0.15
Let j = cost of one jumbo popcorn, and c = cost of one chocolate chip cookie.
Then, based upon the given info, 1j + 2c = $5.
Also, 3j + 5c = $14.50
Let's solve this system of equations using addition/subtraction:
Mult. the first equation by -3, to obtain -3j - 6c = -$15
Now add this result to the 2nd equation:
-3j - 6c = -$15
3j + 5c = $14.50
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-c = -$0.50, or c = $0.50. Since 3j + 5c = $14.50, subst. $0.50 for c
lets us find j:
3j + 5($0.50) = $14.50, so 3j = $12.00. Thus, j = $4.00.
Jumbo popcorn is $4/bag, and choc. chip cookies $0.50 each.
54x^5 (49x - 54) (7x^7 -9x^6)^17
Answer:
f(t) = 1.22·(173/122)^(t/5)
Step-by-step explanation:
(a) An exponential growth (or decay) function can be written using the form ...
f(t) = (initial value)·(ratio in period)^(t/period)
Here, we're given an initial value of 1.22, a growth ratio of 1.73/1.22 in a period of 5 years, so we can write the function as ...
f(t) = 1.22·(173/122)^(t/5)
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(b) In 2038-2012 = 26 years, the value of the function is ...
f(26) = 1.22·(173/122)^(26/5) ≈ 7.50 . . . . million