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kolezko [41]
3 years ago
8

(1+(0.065÷365))^365t=4

Mathematics
1 answer:
marta [7]3 years ago
7 0
This is the future value quadrupled in t years at an annual interest rate of 6.5% compounded daily.  We need to find t.

1*(1+0.065/365)^(365t)t=4
take log on both sides,
365t(log(1+0.065/365)=log(4)
=>
365t=log(4)/log(1+0.065/365)
t=(log(4)/log(1+0.065/365))/365
=(1.38629/.000178066)/365
=21.33 years

Check with the rule of 69, applicable to continuous compounding (an approximation to current problem) to double money, it take 69/interest rate in % years.
=69/6.5
=10.62 years
To double twice (quadruple), it takes twice 10.62
=21.24 years, not that far from 21.33 that we got earlier.
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The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).

P(black blouse) = 1/3

P(black pants) = 1/2

P(black shoes) = 1/4

Probability that Mary's outfit will be black blouse, black pants, black shoes:

= (1/3)(1/2)(1/4)

= 1/24

Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

Learn more about the probability here:

brainly.com/question/11234923

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The correct answers are:

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3 years ago
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Answer:

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Hope this helped! :)

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