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Posted: September 8th, 2022
Process 1
a) Write the next quantity as a fraction: zero.702702702…
b) Write as merely as potential:
(Trace: Change the basis expressions to powers)
c) Resolve the next equation:
Process 2
a) Decide the definition amount and the worth amount of the features under
b) Clarify why the perform f(x) above has an inverse. Discover the inverse perform, and state the definition amount and the worth amount of the inverse perform.
Process three
Hans buys himself a Rolex. After a couple of years, he checks the worth of the watch, and the worth has then elevated by 30%. In 2022, he checks the worth once more, and by then it has decreased by 25%. Hans thinks -Sure, sure, for the reason that worth elevated by 30% and solely decreased by 25%, I’ve gained 5% anyway-.
a) Is he proper? Present by calculation the way you arrived at your reply. (Trace: Use progress issue)
b) If the watch was price NOK 70,000 when he purchased it, how a lot is it price in 2022?
Process four
Hans has grown uninterested in being a professor, and has determined to get wealthy rising and promoting as a substitute -golden- flowers in his backyard. Now he wonders how he can take advantage of cash potential from his new floral enterprise thought. He decides to develop and promote tulips and roses. The flower mattress for Hans is a complete of 20 (m2). Every tulip wants zero.6 (m2) to develop, and every rose wants zero.four (m2). Since there aren’t any pure gold flowers, Hans has to color them with gold paint. He’ll put aside a most of 30 hours for this. Every tulip takes zero.5t to color, whereas every rose takes 1t to color. When the flowers are to be bought, Hans expects to earn 50 per tulip, and 75 per rose, not together with the price of gold portray.
a) Forklar hvorfor dette problemet gir følgende sett med ulikheter:
Additionally clarify why the mathematical drawback turns into maximizing the perform
P(x, y) = 50x + 75y beneath these situations.
b) What’s the most Hans can earn from promoting flowers, while you ignore the price of gold paint?
c) Hans should pay 65 for gold paint per flower he paints. Is that this one enterprise thought, on condition that he grows the flowers that convey essentially the most revenue in b)?
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