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3 years ago

Using the rule of 72, how long will it take for the principal to double with an annual compound interest rate of 6%?

Mathematics

1 answer:

I am Lyosha [343]3 years ago

7 0

Answer:

C. 12

Step-by-step explanation:

With the rule of 72, you would divide 72 by the periodic interest rate to get the number of years for the principal to double

72 ÷ 6 = 12

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assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 10 adult smartphones use

tensa zangetsu [6.8K]

Solution: The given random experiment follows Binomial distribution with $n=10,p=0.44$

Let $X$ be the number of adults who use their smartphones in meetings or classes.

Therefore, we have to find:

$P(X$

We know the binomial model is:

$P(X=x)=\binom{n}{x} p^{x} (1-p)^{n-x}$

$\therefore P(X$

$=\binom{10}{0}0.44^{0}(1-0.44)^{12-0}+\binom{10}{1}0.44^{1}(1-0.44)^{10-1}+\binom{10}{2}0.44^{2}(1-0.44)^{10-2}$

$=1 \times 1 \times 0.0030 + 10 \times 0.44 \times 0.0054 + 45 \times 0.1936 \times 0.009672$

$=0.0030+0.0238+0.0843$

$=0.1111$

Therefore, the probability that fewer than 3 of them is 0.1111

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3 years ago

Two things: first, who invented the calculator? Second, just wanted to let everyone know that I'm online. Can help with a wide v

denis23 [38]

Blaise Pascal invented the calculator

4 0

3 years ago

Read 2 more answers

Fill in the numbers for each hashmark: -10, 2, -5, 13 then plot it. help

Darya [45]

So all your doing is plotting the points, for example find 0 then count forward twice- u will plot and label it their. Its the same process for each number. (ps if its negative go backwards)

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3 years ago

One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?

iogann1982 [59]

Answer:

22 divided 5 I would think

Step-by-step explanation:

4 0

2 years ago

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in

lukranit [14]

Answer: $\dfrac{26}{27}$

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : $p=\dfrac{6}{9}=\dfrac{2}{3}$

Sample size taken by customs oﬃcial : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

The probability that the traveler will be arrested for illegal possession of narcotics = $P(x\geq1)=1-P(x=0)$

$1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}$

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = $\dfrac{26}{27}$

8 0

3 years ago