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Elan Coil [88]
2 years ago
13

Finbar invested money in a transportation stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents numb

er of days. Find the approximate average rate of change from day 11 to day 15.
Mathematics
1 answer:
klio [65]2 years ago
8 0

Answer:

The average rate of change is 76.8

Step-by-step explanation:

The average rate of change is ;

f(b)-f(a)/b-a

where ; a is 11 and b is 15

f(11) = 0.01(2)^11 = 20.48

f(15) = 0.01(2)^15 = 327.68

The average rate of change will

be;

(327.68-20.48)/15-11 = 307.2/4 = 76.8

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A six-sided number cube is rolled twice.
Marina CMI [18]

Answer: A and D

Step-by-step explanation:

Dependent events mean that one event depends on the outcome of the previous event.

A) If the first roll is a 3, and we want to sum more than 7 with the second roll, then the possible outcomes 5 and 6. Now if the first roll is 4, then the possible outcomes for the second event will be 4, 5 and 6. So you can see how the outcome space of the second event changes depending on the first event, so the events are dependent.

B) Here we do not have dependence, each event only depends on it's own outcome.

C) Again, both events only depend on it's own outcome, so the events are not dependent.

D) This is similar as the case for A, these events are dependent because is not the same if the outcome of the first event is 3, than if the outcome is 5 (the outcome needed for the second roll changes depending on the outcome of the first event)

E) Same as B and C, the events are independent.

4 0
3 years ago
One number is 3/8 of another number. The difference of the two numbers is 4.2. What is the lesser number
boyakko [2]

Answer:

2.52.

Step-by-step explanation:

If one number is x then the other = 3x/8.

Also x - 3x / 8 = 4.2

x - 0.375 x = 4.2

0.625x = 4.2

x = 4.2 / 0.625

x = 6.72.

So the lesser number is 6.72 * 0.375 = 2.52.

4 0
2 years ago
The question is on the picture
Vadim26 [7]

<em>Answer,</em>

100,000,000 > 334,605,925

But, 100,000,000 is smaller that 334,605,952

So, It would be "100,000,000 < 334,605,925"



7 0
3 years ago
Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24
Genrish500 [490]
X^2+3x=24, halve the linear coefficient, square it, and add it to both sides

In this case (3/2)^2=2.25

x^2+3x+2.25=26.25 now the left side is a perfect square...

(x+1.5)^2=26.25  take the square root of both sides

x+1.5=±√26.25  subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62
6 0
3 years ago
What is the length of the line segment with end points (5, -7) and (5, 11)​
Law Incorporation [45]

Answer:

<h2>18</h2>

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (5, -7) and (5, 11). Substitute:

d=\sqrt{(5-5)^2+(11-(-7))^2}=\sqrt{0^2+18^2}=\sqrt{18^2}=18

4 0
3 years ago
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