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Verizon [17]
3 years ago
11

A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thick

ness of the filament?
Mathematics
1 answer:
Andreyy893 years ago
3 0

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

=0.01 \pm 0.0002 $ Inches

We can then calculate the least allowable thickness of the filament as:

=0.01 - 0.0002 \\=0.00998$ Inches

The least allowable thickness of the filament is 0.00998 Inches.

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Find principal of a loan at 11% for 5 years with $426.25 simple interest
Ahat [919]

Answer:

P=775

Step-by-step explanation:

The Simple Interest Equation is A = P(1 + rt)

where

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

t = Time Period involved in months or years

In this case, we do not know the values ​​of the equation (A and P), but we know the amount of interest accrued

If we define our principal whit this formula, we are able to know the rest of the values:

A-P= interest

clearing

A=interest+P

replacing

426.25 + P = P (1+(0.11(5))

Solving

426.25+P=1.55P

P-1.55P=-426.25

-0.55P=-426.65

P=\frac{-426.25}{-0.55}

P=775

7 0
3 years ago
You received 1⁄3 pound of candy from your grandmother, 1⁄2 pound of candy from your sister, but your best friend ate 1⁄5 pound o
OverLord2011 [107]
Give them the same denominator.
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3 0
3 years ago
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You're going on a 1211-mile trip, and your car gets about 29 miles per gallon. Gas prices along your route average $3.40. Estima
Vilka [71]

Answer:

Using the estimate:

The car has to go for 1,200 miles but it consumes a gallon of gasoline for every 30 miles. The number of gallons it will need is therefore:

= 1,200 / 30

= 40 gallons

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= 40 * 3

= $120

Without using the estimate:

The car has to go for 1,211 miles but it consumes a gallon of gasoline for every 29 miles. The number of gallons it will need is therefore:

= 1,211 / 29

= 41.76 gallons

Each gallon costs $3.40 so the total cost is:

= 41.76 * 3.40

= $‭141.98

<em>Using the estimate provides a lower cost of gasoline for the trip. </em>

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3 years ago
The admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collect
Usimov [2.4K]
For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.
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3 years ago
Someone please find the constant proportionality!!!
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Answer:

Possible - 1 and 0

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