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riadik2000 [5.3K]

3 years ago

9

Suppose an investment of $5,000 doubles every 12 years. How much is the investment worth after 36 years? After 48 years?

1 answer:

nadezda [96]3 years ago

8 0

This can be done without exponential equations.

It doubles every 12 years so it has doubled in price
5,000 * 2 = 10,000

After 36 years the value has increased 8 times
5,000 * 8 = 40,000

After 48 years the value has increased 16 times
5,000 * 16 = 80,000

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6. a. Sixty students in a class took an examination in Physics and Mathematics. If 17 of them passed Physics only, 25 passed in

Ivahew [28]

Let $C$ be the set of all students in the <u>c</u>lassroom.

Let $P$ and $M$ be the sets of students that pass <u>p</u>hysics and <u>m</u>ath, respectively.

We're given

$n(C) = 60$

$n(P \cap M') = 17$

$n(P \cap M) = 25$

$n((P \cup M)') = n(P' \cap M') = 9$

i. We can split up $P$ into subsets of students that pass both physics and math $(P\cap M)$ and those that pass only physics $(P\cap M')$ . These sets are disjoint, so

$n(P) = n(P\cap M) + n(P\cap M') = 25 + 17 = \boxed{42}$

ii. 9 students fails both subjects, so we find

$n(C) = n(P\cup M) + n(P\cup M)' \implies n(P\cup M) = 60 - 9 = 51$

By the inclusion/exclusion principle,

$n(P\cup M) = n(P) + n(M) - n(P\cap M)$

Using the result from part (i), we have

$n(M) = 51 - 42 + 25 = 34$

and so the probability of selecting a student from this set is

$\mathrm{Pr}(M) = \dfrac{34}{60} = \boxed{\dfrac{17}{30}}$

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2 years ago

What is the slope of the line that passes through the points (–20, 18) and (30, 14)?

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The slope of the line that passes through the points (-20,18) and (30,14) is

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Read 2 more answers

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3 years ago

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Answer:

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Step-by-step explanation:

to find the value of a you need to simplify the equation first. so...

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3a=21-3

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a=18/3

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to check your answer substitute 3 instead of a

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3(6+3)-6=21

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Answer:

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Step-by-step explanation:

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