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2 years ago

I need help on this problem please

Mathematics

1 answer:

spin [16.1K]2 years ago

3 0

9514 1404 393

Answer:

Swimming Pool: $5000
Caribbean: $15000

Step-by-step explanation:

Let p and c represent the costs (in thousands) of swimming pool and Caribbean weddings, respectively. We have ...

5p +2c = 55 . . . . . total cost of the weddings

p = c -10 . . . . . . . . the difference in their cost

Substituting for p in the first equation gives ...

5(c -10) +2c = 55

7c -50 = 55

7c = 105

c = 15

p = 15 -10 = 5

The Swimming Pool weddings cost $5000; the Caribbean weddings cost $15,000.

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13. In A ABC, if m BF is an angle bisector, find<br> m

Tresset [83]

If in the triangle ABC , BF is an angle bisector and ∠ABF=41° then angle m∠BCE=8°.

Given that m∠ABF=41° and BF is an angle bisector.

We are required to find the angle m∠BCE if BF is an angle bisector.

Angle bisector basically divides an angle into two parts.

If BF is an angle bisector then ∠ABF=∠FBC by assuming that the angle is divided into two parts.

In this way ∠ABC=2*∠ABF

∠ABC=2*41

=82°

In ΔECB we got that ∠CEB=90° and ∠ABC=82° and we have to find ∠BCE.

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∠BCE+90+82=180

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Hence if BF is an angle bisector then angle m∠BCE=8°.

Learn more about angles at brainly.com/question/25716982

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4 0

1 year ago

A company uses the declining-balance method of calculating depreciation expense. On January 1, the company buys machinery for $7

NeX [460]

Answer:

$516,000

Step-by-step explanation:

Given:

- Beginning boo value of asset A = $750,000

- The salvage value of the asset B = $100,000

- The estimated life of asset t = 10 years

Find:

What is the book value in year 3?

Solution:

- Under the declining balance method, double declining method depreciation rate (R) is calculated by:

R = 1 / t

R = 1 / 10 = 10%

- The accumulated depreciation for 3 years is as follows:

Depreciation: ( A - B ) * R * 2

Year 1: DDB = ( 750,000 - 100,000 ) * 0.2 = $130,000

Year 2: DDB = ( 620,000 - 100,000)*0.2 = $104,000

- The book value in year 3 is:

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7 0

3 years ago

The college student senate is sponsoring a spring break Caribbean cruise raffle, with proceeds going to the local homeless shelt

drek231 [11]

Answer:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

Step-by-step explanation:

A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

$p=10/2900\approx0.00345$

Each ticket cost $5, so he has spent $50 for the 10 tickets.

Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

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The mathematical expectation of a student who purchases 10 tickets is -$39.65.

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3 years ago

Plz answer this ill give 10pts

bekas [8.4K]

whats the question....?

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3 years ago