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3 years ago

Express (25 1/2) ^3 in simplest radical form

Mathematics

1 answer:

Mkey [24]3 years ago

5 0

Step-by-step explanation:

i think this is the answer if it's wrong I'm sorry

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Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh

jasenka [17]

Answer:

(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.

Step-by-step explanation:

The triangle attached represents the given problem.

First, let us determine the distance of the Boat from each of the lighthouse.

In Triangle ABC,

∠A+∠B+∠C=180 degrees

21+∠B+16=180

∠B=180-37=143 degrees.

Using Law of Sines

$\frac{a}{Sin A}=\frac{b}{Sin B}\\\frac{a}{Sin 21^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\a*sin143=60*sin21\\a=60*sin21\div sin143\\a=35.73 miles$

Similarly

$\frac{c}{Sin C}=\frac{b}{Sin B}\\\frac{c}{Sin 16^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\c*sin143=60*sin16\\c=60*sin16\div sin143\\c=27.48 miles$

Difference in Distance =35.73-27.48=8.25 miles

Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.

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4 years ago

On Tuesday, Michael walked to a grocery store in the morning and decided to buy a banana for $9.12 Michael handed the salesperso

mixas84 [53]

Michael received $0.01 or a penny

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4 years ago

Baker, Inc. uses the sum-of-the-years’-digits method to depreciate a $79,600.00 piece of equipment that has an estimated life of

Anastasy [175]

The book value at the end of year 2 of the equipment depreciated using the sum-of-the-years’-digits method is $65,560.

<h3>What is the book value at the end of year 2? </h3>

Depreciation is a method used to expense the cost of an asset. Book value is the cost of the asset less the accumulated depreciation.

Sum-of-the-year digits = (remaining useful life / sum of the years ) x (Cost of asset - Salvage value)

Depreciation expense in year 1:

Sum of the years = 1 +2 +3 +4 + 5 + 6 + 7 + 8 + 9 + 10+ 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210

Undepreciated life of the asset = 20

(20 / 210) x ($79,600 - 4,000) = 7200

Depreciation expense in year 2:

19 / 210 x ($79,600 - 4,000) = 6840

Book value = 79600 - 7200 - 6840 = $65,560

To learn more about depreciation, please check: brainly.com/question/25552427

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2 years ago

Estimate then find the product of 758×6

Maurinko [17]

700*6=4,200

*4,200 as an estimate.

---------------------------

6*(758)

=6(700+50+8)

=4,200+300+48

=4,200+348

=4,548

5 0

3 years ago

Read 2 more answers

Tavius wants to invest $2,500. Which option will earn him the best value?

Step2247 [10]

Tavius would earn his best value if he invests in a three-year certificate of deposit with a nominal interest rate of 4 percent.

Tavius would invest in the option that yields the highest interest. This is the best value. In order to determine which option is the best, the interest rate of each option has to be determined.

Interest rate of the first option

Interest earned = amount invested x time x interest rate

$2500 x 0.03 x 2 = $150

Interest rate of the second option

Interest earned = amount invested x time x interest rate

$2500 x 0.03 x 1 = $75

Interest rate of the third option

Interest earned = amount invested x time x interest rate

$2500 x 0.04 x 3 = $300

Interest rate of the fourth option

FV = P x (1 + r) n

$2500 x (1.03) = $75

A similar question was answered here: brainly.com/question/24748787?referrer=searchResults

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2 years ago