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The given function can also be written in the
form:
f (x) = 15 (1 + 1)^x
Where this equation is similar to the general
growth rate equation:
f (x) = k (1 + i)^n
Where,
i = percent rate of growth
n = number of years
Since we want to set that n = x/2, therefore we
need to find the new i. We can do this by equating the two:
<span>(1 + i)^x/2 = (2)^x</span>
Multiplying the exponents of both sides by 1/x:
(1 + i)^1/2 = 2
1 + i = 4
i = 3
Therefore the new equation is:
f (x) = 15 (4)^(x/2)
or
<span>f (x) = 15 (2^2)^(x/2) (ANSWER)</span>
<span> </span>
Answer:
$30
Step-by-step explanation:
shoes: 25/100(200)=
1/4(200)=50
she spent $50 on shoes
clothes: 3/5(200)=
she spent $120 on clothes
50+120=170
200-170=30
Answer:
(20+2)(20-2) = 20^2 - 2^ = 396
Step-by-step explanation:
Difference of two squares is breaking down numbers into pieces and using the distributive property to solve. The pieces should be in the form (a-b)(c+d).
Write 22 as (20 + 2) and 18 as (20-2).
(20+2)(20-2) = 400 + 40 - 40 - 4 = 400 - 4 = 20^2 - 2^ = 396
Answer:
For the table on the left the rate of change is
For the table on the left the rate of change is
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:
<u>For the table on the left</u>
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:
Substituting these values into the formula, you get:
<u>For the table on the right</u>
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:
Substituting these values into the formula, you get: