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2 years ago

10

investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after

45 years?

1 answer:

azamat2 years ago

7 0

Answer:

$64,000

Step-by-step explanation:

Friday, 45 / 9 = 5

So the investment will double 5 times

First time

2,000 (starting investment) × 2 = 4000

Second time

4000 × 2 = 8000

Third time

8000 × 2 = 16000

Fourth time

16000 × 2 = 32000

Fifth and final time

32000 × 2 = 64000

$64,000

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Ilya [14]

Answer:

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$b)\ f(x)=\left\{\begin{array}{cccc}-3x-3&for&x\in(-1,\ 0]&/-1$

Step-by-step explanation:

These are graphs of piecewise functions.

Each part is a graph of the linear function.

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

========================================

<h2>a)</h2>

Part 1:

Points (0, 2) → <em>b = 2</em>, and (2, 0).

Calculate the slope:

$m=\dfrac{0-2}{2-0}=\dfrac{-2}{2}=-1$

Put the value of <em>m</em> and <em>b</em> to the equation of a line:

$(1)\ y=-1x+2=-x+2$

Part 2:

Points (2, 1) and (5, 0).

Calculate the slope:

$m=\dfrac{0-1}{5-2}=\dfrac{-1}{3}=-\dfrac{1}{3}$

Put the value of the slope and the coordinates of the point (5, 0) to the equation of a line:

$0=-\dfrac{1}{3}(5)+b$

$0=-\dfrac{5}{3}+b$ <em>add 5/3 to both sides</em>

$\dfrac{5}{3}=b$

Therefore we have:

$y=-\dfrac{1}{3}x+\dfrac{5}{3}$

The domain of the function is (0, 2] and (2, 5].

Formula of the piecewise function:

$f(x)=\left\{\begin{array}{cccc}-x+2&for&x\in(0,\ 2]&/0$

============================================================

<h2>b)</h2>

We solve the same as in a) in Part 1

Part 1:

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$m=\dfrac{-3-0}{0-(-1)}=\dfrac{-3}{1}=-3$

$y=-3x-3$

Part 2:

(0, 3) → <em>b = 3</em>, (2, -1)

$m=\dfrac{-1-3}{2-0}=\dfrac{-4}{2}=-2$

$y=-2x+3$

Domain: (-1, 0] and (0, 2].

$f(x)=\left\{\begin{array}{cccc}-3x-3&for&x\in(-1,\ 0]&/-1$

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3 years ago

Use the graph below to fill in the blank with the correct number: <br><br> f(0) =

3241004551 [841]

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3 years ago

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earnstyle [38]

The answer is 23.2 I just entered the data into an online standard deviation calculator.

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3 years ago

Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 15 ca

Rainbow [258]

Answer:

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(B) 0.01538 or 1.538%

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$P(N=1) = \frac{3}{455}=0.006593 =0.6593\%$

(B) There are three possibilities for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

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3 years ago

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VladimirAG [237]

Answer:

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3 years ago