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Black_prince [1.1K]
3 years ago
6

The formula A = Pe^rt calculates the amount an investment earning a nominal rate of r compounded continuously is worth. Show tha

t the amount of time it takes for the investment to double in value is given by the expression ln2/r.
Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

t = In2/ r

Step-by-step explanation:

Given the formula : A = Pe^rt

For investment to double ;

Final amount (A) = 2 * initial investment (p)

A = 2p

Hence,

2p = pe^rt

2 = e^rt

Take the In of both sides

In2 = rt

Divide both sides by r

In2 /r = rt /r

In2/ r = t

t = In2/ r ; Hence, the proof

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BigorU [14]

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

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Number of samples n = 59

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z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

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= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

4 0
3 years ago
The ratio of cups of water to cups of milk in a recipe is 1 to 3.
Bumek [7]
What is the question to your problem? Sorry...
8 0
4 years ago
7. A patient has a urinary tract infection so Dr. Padron prescribes Ancef. A 1200 mL bag contains 400 mg of Ancef. If the patien
liraira [26]

Answer:

  200 mg

Step-by-step explanation:

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7 0
3 years ago
Write the equation of the line represented by the following table
s344n2d4d5 [400]

Answer:

y = 100x + 400

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 400) and (x₂, y₂ ) = (1, 500) ← 2 points from the table

m = \frac{500-400}{1-0} = 100

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y = 100x + 400 ← equation of line

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3 years ago
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den301095 [7]

Answer:

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Step-by-step explanation:

The line of best fit is a line through scatter plot of data points that best expresses the relationship between those points.

(hope this helps :P)

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3 years ago
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