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ivann1987 [24]
4 years ago
13

What is the average rate of change of the function on the interval from x = 1 to x = 2?

Mathematics
2 answers:
miskamm [114]4 years ago
5 0
<span>The average rate of change is 247.5. The average rate of change of a function f(x) over the interval x1 to x2 is given by AROC=(f(x2)-f(x1))/(x2-x1). In this case, x1=1 and x2=2. f(1) = 55 and f(2)=302.5. This the average rate of change is given by (302.5-55)/(2-1). When we simplify this, we get that the average rate of change in 247.5.</span>
Elis [28]4 years ago
5 0
I know you asked two weeks ago and maybe you can come back on to give confirm answer. 

I believe the answer is 302.5.
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3 years ago
You invest $2,500 in an account that grows 5% each year. what will be your investment amount after 6 years?
lesantik [10]

Answer:  b. $3,374.65

Step-by-step explanation:

The exponential equation of growth (continuously) is given by :-

y=Ae^{rx}, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.

Given : You invest $2,500 in an account that grows 5% each year.

i.e.  A= $2,500  and r= 5%=0.05

Then, the equation model this situation will be :-

y=2500e^{0.05x}=2500(1.05)^x

Now, At x= 6

y=2500e^{0.05\times6}\\\\\Rightarrow\ y=2500e^{0.3}=3374.64701894\approx3374.65

Hence, the investment amount after 6 years will be $3,374.65.

4 0
3 years ago
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Lilit [14]
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3 years ago
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Me need help in math:(help fast
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The picture shows the graphs of the functions expressed by a formula of the following type: y = kx + b.
ollegr [7]

Answer:

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(usually 1 is omitted but I added for clarity)

Step-by-step explanation:

slope (x)= yfinal-yintial/xfinal-xinitial

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