A book has been discounted by 30%. It is on sale for $22.40. Find the original price.

1 answer:

8 0

ANSWER: $29.12 is the original price

EXPLANATION:
Do 22.40 • 0.30 to get 6.72
Then take 6.72 and add it to 22.40
This gives you the original price, $29.12

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There are 5 students on the school chess team. They need to raise at least $445 for a field trip. Their advisor says they have r

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Answer: he was wrong. Each student will have to pay $76.54 at least

Step-by-step explanation:

They need to raise at least $445 for a field trip. This means that the amount to be raised should be greater than or equal to $445

Their advisor says they have raised 14% of the funds so far. This means that the amount that they have raised so far is

14/100 × 445 = 0.14×445=$62.3

The amount of money left for them to raise is total amount of money needed - 14% that they have raised so far. It becomes

445 - 62.3 = $382.7

she wants each of them to raise an equal share of the money still needed. There are 5 students on the school chess team. This means that 5 students would be raising $382.7 equally.

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Because of Theorem 5.47 any function that is continuous on (0, 1) but unbounded cannot be uniformly continuous there. Give an ex

almond37 [142]

Answer:

$f: (0,1) \to \mathbb{R}$

$f(x) = \sin(1/x)$

Step-by-step explanation:

f is continuous because is the composition of two continuous functions:

$g(x) = \sin(x)$ (it is continuous in the real numbers)

$h(x) = 1/x$ (it is continuous in the domain (0,1))

It is bounded because $-1 \leq \sin(\theta) \leq 1$

And it is not uniformly continuous because we can take $\varepsilon = 1$ in the definition. Let $\delta > 0$ we will prove that there exist a pair $x,y\in \mathbb{R}$ such that $|x-y|< \delta$ and $|f(x) -f(y)|> \varepsilon = 1$ .