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irina1246 [14]
3 years ago
15

A combination lock uses three distinctive numbers between 0 and 49 inclusive. how many different ways can a sequence of three nu

mbers be selected? (show work)
Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0
It is a binomial distribution and the answer is 50C3 ==> 50!/3!(50-3)! => 19600
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$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the accoun
IRISSAK [1]

Answer:

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

The annual growth rate is of 0.72%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$650 is invested in an account earning 8.6% interest (APR), compounded monthly.

This means that P = 650, r = 0.086, n = 12. So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 650(1 + \frac{0.086}{12})^{12t}

A(t) = 650(1.0072)^{12t}

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

Annual growth rate

1.0072 - 1 = 0.0072 = 0.72%

The annual growth rate is of 0.72%.

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3 years ago
Which of the following statements is true of an essay's conclusion?
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The answer is option D.
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Step-by-step explanation:

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Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.
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By the binomial theorem,

7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1

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