<span>idk why they want the dratted "k" . it is so simple w/o it !
in the form y = ab^x, a = 4000, b = 4400/4000 = 1.1, x = t/2
N = 4000*1.1^(13/2) = 7432 <------
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now you won't be satisfied with simplicity, so
4400 = 4000e^2k
e^2k = 1.1
k = ln 1.1/2 = .0477 to 4 dp
N(13) = 4000e^(13*.0477) = 7436 <------
note that apart from a roundabout way, you get a less accurate ans !</span>
Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) = - 1
fg(x) = f ( - 1) , we just put in the value of g(x) , the next thing is to substitute - 1 for the value of x in f(x) , that is
fg(x) = -2( - 1) - 1
fg(x) = -2 + 2 - 1
fg(x) = -2 + 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 ( + 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
He needs to play 23 more times. 785 / 35 = 23
He will have extra points but it will be enough to get the prize.
9 x 8 = 72
9 + 9 +9 + 9 + 9 +9 + 9 + 9 = 72