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gogolik [260]
3 years ago
7

For his craft project, James bought 1010 10 10 pieces of ribbon that were each 2.1 feet2.1\text{ feet} 2.1 feet 2, point, 1, sta

rt text, space, f, e, e, t, end text long. How many total yards of ribbon did James buy?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

<h2>Total yards of ribbon bought is 6.993yards of ribbon</h2>

Step-by-step explanation:

Total pieces of ribbon James bought for his craft project = 10pieces. If each pieces of ribbon were 2.1feet long, the total number of feet for 10ribbons is expressed as;

= 10 * 2.1\\= 21feets

Converting 21 feets to yards;

1 feet = 0.333yard

21feets = x

x = 21feet * 0.333\\= 6.993yards

Total yards of ribbon bought is 6.993yards of ribbon

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Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does eac
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Answer: 4 dollars for each notebook

Step-by-step explanation:

21-9= 12

12/3=4

each notebooks costs 4 dollars

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if 368 teenagers in a population of 4,310 report that they have smoked at least one cigarette during the past year, to one decim
allochka39001 [22]
Divide the amount of teenagers that smoked by the total population:

368 \div 4310 = 0.0853

Multiply this decimal by 100 to convert into a percentage:

0.0853 \times 100 = 8.53

To round to the nearest decimal place, look at the hundredths value:

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3 > 5
8.53 -> 8.5

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3 years ago
What is a reluctance
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unwillingness or disinclination to do something.

or: the property of a magnetic circuit of opposing the passage of magnetic flux lines, equal to the ratio of the magnetomotive force to the magnetic flux

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3 years ago
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Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
Could someone help with this and provide the working out too
GalinKa [24]
-3
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3 years ago
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