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3 years ago

Which of the following are considered measures of variability?

Mathematics

1 answer:

bixtya [17]3 years ago

6 0

Answer:

the answers are <em>interquartile range</em> and <em>mean absolute deviation</em>

Step-by-step explanation:

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An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click

Sergeeva-Olga [200]

Answer:

A. $\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}$

B. $\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }$

Step-by-step explanation:

Given that:

An investment of Amount = $8000

earns at an annual rate of interest = 7% = 0.07 compounded continuously

The objective is to :

A) Find the instantaneous rate of change of the amount in the account after 2 year(s).

we all know that:

$A = Pe^{rt}$

where;

$A = (8000) \ e ^{0.7t}$

The instantaneous rate of change = $\dfrac{dA}{dt}$

$\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )$

$= 8000 \dfrac{d}{dt}e^{0.07 \ t}$

$\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}$

$\dfrac{dA}{dt}= 560 e^{0.07 \ t}$

At t = 2 years; the instantaneous rate of change is:

$\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}$

$\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}$

(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.

Here the amount = 12000

$12000 = (8000)e^{0.07 \ t}$

$\dfrac{12000 }{8000}= e^{0.07 \ t}$

$1.5= e^{0.07 \ t}$

㏑(1.5) = 0.07 t

0.405465 = 0.07 t

t = 0.405465 /0.07

t = 5.79

$\dfrac{dA}{dt}= 560 e^{0.07 \ t}$

At t = 5.79

$\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}$

$\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }$

7 0

3 years ago

An object falls d meters in t seconds. what is the independent variable

mylen [45]

The independent variable would be “d meters” because the amount of time depends “dependent variable” on the height of the fall

3 0

3 years ago

If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function? A. (2,0) and (9,0) B.

Mumz [18]

Answer:

D. (-2,0) and (9,0)

Step-by-step explanation:

set the two factors equal to zero and find your two x values and those are the x intercepts. ( y value for x intercepts are always zero)

4 0

3 years ago

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On a scale drawing a door that is 7 feet tall is drawn 2 inches tall. In this scale, 1 inch is equal to how many feet?

Cloud [144]

Answer:

4.5 ft

Step-by-step explanation:

7/2=4.5

8 0

3 years ago

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Word problem: He left at 8:20 AM and arrived at 2:40 PM after driving for 335 miles. What was his average speed in miles per hou

Over [174]

There's 6 hours and twenty minutes between 8:20 and 2:40, which means you would divide 335 mi by 6.2 hrs. Thats gets you the answer of 54 mph (54.03 to be exact.) Hope that helps!

8 0

3 years ago