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4 years ago

Collins is working.......

Mathematics

1 answer:

lesya [120]4 years ago

4 0

Let n represent the amount Colin earned on Sunday.

On Sat. he earned n/2; on Sun. he earned n; and on Friday he earned (1/2)(n/2).

Then n/2 + n + n/4 = $70

Mult. all terms by 4 to eliminate fractions:

2n + 4n + n = $280

7n = $280 => n = $40

Colin earned n/2, or $20, on Saturday; n, or $40, on Sunday; and n/4, or $10, on Friday.

Note that $20 and $40 and $10 add up to $70, as they must.

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There are 120 people at a party 1/3 leave work out the number of people still at the party

Tpy6a [65]

Answer:

Step-by-step explanation:

1/3 of 120 is 40

If 40 leave

People left in party=120-40=80

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4 years ago

Read 2 more answers

peter is trying to get his cat out of a tree in his backyard. The cat is 12feet above the ground, and Peter has to put the base

Vadim26 [7]

Answer:

15 feet

Step-by-step explanation:

Given that,

The cat is 12feet above the ground, and Peter has to put the base of his ladder 9 feet away from the tree because of mud.

If we consider a right-angled triangle, in which the height is 12 feet, base is 9 feet.

We need to find how long does the ladder need to be in order to reach the cat i.e. the hypotenuse of the triangle.

We can use the Pythagoras theorem to find it.

$H^2=h^2+b^2\\\\H^2=12^2+9^2\\\\H^2=144+81\\\\H=\sqrt{225} \\\\H=15\ \text{feet}$

So, the ladder must be at a distance of 15 feet in order to reach the cat.

8 0

3 years ago

Which scenario reflects an annual inflation rate of 3%? A. In year 1, the price of a computer is $325.00. In year 2, the same co

Furkat [3]

Answer: D is the correct option

Step-by-step explanation:

We want to determine which of the given scenarios reflects an annual inflation rate of 3%.

To get the new or inflated price, we will find 3% of the former price and add it to the former price. Looking at the scenarios,

A) In year 1, the price of a computer is $325.00. Applying 3% increase, it becomes

(3/100 × 325) + 325 = 9.75 + 325

= $334.75. This is higher than the cost in year 2

B) In year 1, the price of a soda is $0.75. Applying 3% increase, it becomes

(3/100 × 0.75) + 0.75 = 0.0225 + 0.75= $0.7725. This is lower than the cost in year 2

C) In year 1, the price of a board game is $10.00. Applying 3% increase, it becomes

(3/100 × 10) + 0.75 = 0.3 + 10= $10.3. This is higher than the cost in year 2

D) In year 1, the price of a sofa is $500.00. Applying 3% increase, it becomes

(3/100 × 500) + 500 = 15 + 500= $515

It corresponds to the price of year 2

So the correct option is D

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4 years ago

In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at

givi [52]

The value of the derivative at the maximum or minimum for a continuous function must be zero.

<h3>What happens with the derivative at the maximum of minimum?</h3>

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/24701109

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2 years ago

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Sever21 [200]

Answer:

Step-by-step explanation:

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3 years ago