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3 years ago

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Dominic is going to invest $1,800 and leave it in an account for 17 years. Assuming the interest is compounded annually, what in

terest rate, to the nearest tenth of a percent, would be required in order for Dominic to end up with $4,700?

1 answer:

castortr0y [4]3 years ago

6 0

Answer: 5.8%

Step-by-step explanation: got it right lol

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The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

$P(X)=\frac{e^{-\mu}\mu^x}{x!}$

Let X be the number of failures of a testing instrument.

We know that the mean $\mu = 0.018$ failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is $\mu=8\cdot 0.018=0.144$

$P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659$

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is $\mu=24\cdot 0.018=0.432$

$P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508$

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What are all the factors of 76

Len [333]

Answer:

1, 2, 4, 19, 38, 76

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At the beginning of the month,Kimberly had $65.78. Since then,she has received three payments of $32.50 from her babysitting job

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Answer:

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Step-by-step explanation:

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3 years ago

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12 cos theta minus 16 sin theta is equal to zero find 2 sin theta + cos theta

gayaneshka [121]

Answer:

2sinθ + cosθ = 2

Step-by-step explanation:

12 cos θ - 16 sinθ = 0

=> 3 cos θ -4 sin θ = 0

=> tanθ = 3/4

let P = 3x

B = 4x

=> H= 5x

=> sinθ = P/H = 3/5

cosθ = B/H = 4/5

2sinθ + cosθ

= 2× 3/5 + 4/5

= 6/5+4/5

= 10/5

= 2

=> 2sinθ + cosθ = 2

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3 years ago

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Please can someone help thank you

aleksley [76]

Answer:

3:1

Step-by-step explanation:

240 necklaces in one month

180-sold on website

60- sold in shop

180:60

then you would simplify

so the final answer is 3:1

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