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3 years ago

How long will it take for the money in an account that is compounded continuously at 4% interest to sextuple.

Mathematics

1 answer:

Radda [10]3 years ago

4 0

Answer:

t = 44.79 years

Step-by-step explanation:

6 = $e^{.04t}$

ln(6) = .04t ln(e)

ln(6)/.04 =t

t = 44.79

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If f(x)=x^2- 4 and g(x)=x^2 plus 2 x,

gregori [183]

Answer:

$\huge\boxed{(f-g)\left(-\dfrac{1}{3}\right)=-3\dfrac{1}{3}}$

Step-by-step explanation:

$\text{We have}:\\\\f(x)=x^2-4\ \text{and}\ g(x)=x^2+2x\\\\(f-g)(x)=f(x)-g(x)\\\\\text{therefore}\\\\(f-g)(x)=(x^2-4)-(x^2+2x)=x^2-4-x^2-2x\\\\=(x^2-x^2)-2x-4=-2x-4\\\\(f-g)\left(-\dfrac{1}{3}\right)\to\text{put}\ x=-\dfrac{1}{3}\ \text{to the equation of the function}\ (f-g)(x):\\\\(f-g)\left(-\dfrac{1}{3}\right)=-2\left(-\dfrac{1}{3}\right)-4=\dfrac{2}{3}-4=-3\dfrac{1}{3}$

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3 years ago

PROBLEM. 11.1: Rewrite These! Rewrite each quotient as a sum or a difference.

Jet001 [13]

Answer:

1. (4x-10)/2

4x/2 - 10/2

2x - 5

2. (1-50x)/-2

1/-2 -50x/-2

25x - 1/2

3. 5(x + 10)/25

(5x + 50)/25

5x/25 + 50/25

1/5 x + 2

4.(-0.2x + 5)/2

-0.2x/2 + 5/2

-0.1x + 2.5

3 0

3 years ago

The graph of a function f is shown below.<br> Find f (2)

liberstina [14]

Answer: f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2? Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3. So f(2) = 3.

======

[One could also determine the equation for the line. Provided below.]

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3

y(2) = 3

4 0

3 years ago

Someone help me lol..

disa [49]

Answer:

1/3x + 3 is the correct answer, hope it help

6 0

3 years ago

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bazaltina [42]

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3 years ago