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1 year ago

HOW MANY DIFFERENT COMMITTEES CAN BE FORMED FROM 4 TEACHERS AND 20

Mathematics

1 answer:

Daniel [21]1 year ago

4 0

Answer:

6840

Step-by-step explanation:

multiply combinations

n!/(r!(n − r)!)

n choose r

n (objects) = |n

r (sample) = r

(4 teachers, CHOOSE 2)*(20 students, CHOOSE 3)

C(4,2) times C(20,3) =

C(n,r)=?

C(n,r) = C(4,2)

4! / (2!(4-2)!)

4! /2! x 2!

= 6

C(n,r)=?

C(n,r) = C(20,3)

20! / (3!(20-3)!)

20! / 3! x 17!

= 1140

6 * 1140 = 6840

alegbracom Edwin McCravy

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Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

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Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

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In which f(0) is the initial value and r is the decay rate, as a decimal.

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This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

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2014 - 2012 = 2, so:

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We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

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Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

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