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3 years ago

Write 17/9 as a decimal

Mathematics

2 answers:

denis23 [38]3 years ago

6 0

Divide 17 by 9
1.8888

Aleks04 [339]3 years ago

5 0

Answer:

1/2=0.5

-4 4/25=-4.16

1/8=0.125

3/16=0.1875

-33/50=-0.66

-17/40=-0.425

5 7/8=5.875

9 3/8=9.375

Step-by-step explanation:

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Please help :) this is exponential decay 10 pts

VMariaS [17]

$50.00 after 0 months and $37.50 after 6 months.
We first must calculate half-life using the attached formula.
Half-Life = (time * ln(2)) / ln (beginning amount/ending amount)
Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50)
Half-Life = ( 4.1588830834 ) / ln ( 1.3333333333 )
Half-Life = ( 4.1588830834 ) / 0.28768207245
Half-Life = 14.456525038 months

Now we need to calculate "lambda"
lambda = ln(2) / half-life
lambda = 0.69314718056 / 14.456525038
lambda = 0.0479470121 

Next we have to use this formula:
Ending Amount = beginning amount • e^( -lambda • time )
(where "e" is the mathematical constant 2.718281828...)
Ending Amount = 50 * 2.718281828^(-0.0479470121*24 months)
Ending Amount = 50 * 2.718281828^(-1.1507282904)
Ending Amount = 50 * 0.3164062499 
Ending Amount = 15.82 dollars

**********************************************************************
As a DOUBLE-CHECK we can work this out every 6 months:

0 months $50
6 months = $50 - (50 *.25) = 37.50
12 months = $37.50 -(37.50 *.25) = 28.125
18 months = $28.125 -(28.125 * .25) = 21.09375 
24 months = $21.09375 -(21.09375 * .25) = 15.8203125 

You'll find this page quite helpful:
http://www.1728.org/halflif2.htm

5 0

3 years ago

Read 2 more answers

A potted tree weighs 21 pounds. The pot weighs 3 pounds. If w represents the weight of the tree without the pot, write an equati

masha68 [24]

W = 21 - 3
weight of the tree = 21 pounds - 3 pounds

8 0

3 years ago

At a grocery store the manager randomly selects 20 cartons of eggs, he finds 3 cartons with at least 1 broken egg. If the refrig

ivann1987 [24]

Answer:

You would expect 75 cartons with at least 1 broken egg.

There are likely to be 222 DVD players that are defective.

Step-by-step explanation:

Both examples given in this question represent a ratio of broken or defective to a sample number of cartons or DVD players. In order to find how many would be broken or defective overall, you can set up equivalent ratios, or proportions.

Egg Cartons: $\frac{broken}{#cartons}=\frac{3}{20}=\frac{x}{500}$

'x' represents the number of cartons out of 500 that would be expected to have at least 1 broken egg. To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 500 and then multiply the same factor by the numerator to find 'x'. In this case 500/20 = 25, so the factor is 25. 3 x 25 = 75, so you have 75 expected cartons with a broken egg.

DVD Players: $\frac{defective}{#players}=\frac{3}{50}=\frac{x}{3700}$

'x' represents the number of DVD players out of 3700 that would be expected to be defective. To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 3700 and then multiply the same factor by the numerator to find 'x'. In this case 3700/50 = 74, so the factor is 74. 3 x 74 = 222, so you have 22 likely defective DVD players.

4 0

3 years ago

(-5 -10 -32 ) • (4 - 8 - 16) = Can someone help me please

scoray [572]

You would have to evaluate the problem so it would be 940

7 0

2 years ago

Jenna collected data modeling a company's company costs versus its profits. The data are shown in the table:

Zarrin [17]

Statement 3:

The function is increasing from x = 0 to x = 1 is the true statement.

Solution:

Statement 1: The function is decreasing from x= –2 to x = 1

At x = –2, the function value is 2.

At x = –1, the function value is –3.

At x = 0, the function value is 2.

At x = 1, the function value is 17.

So, the value of the function is not constantly decreasing or increasing.

Hence it is false statement.

Statement 2: The function is decreasing from x = –1 to x = 0

At x = –1, the function value is –3.

At x = 0, the function value is 2.

From –3 to 2, the value is increasing.

Hence it is false statement.

Statement 3: The function is increasing from x = 0 to x = 1

At x = 0, the function value is 2.

At x = 1, the function value is 17.

Hence it is true statement.

Statement 4: The function is decreasing from x = 0 to x = 1

It is already proved in statement 3.

Hence it is false statement.

Therefore, the function is increasing from x = 0 to x = 1 is the true statement.

3 0

3 years ago