Answer:
parallel lines has same slope
we have
y = -3/2x+2
comparing with y = mx+c
m=-3/2
so answer is -3/2
The growth factor for the annual rate of change +100% is 2.
A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.
With the function displayed to the right, you may represent exponential growth or decay.
A(x) = a( 1 + r)ˣ
Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.
Now, we have the annual rate of change as:
r = + 100% = + 1
From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.
So, let B = 1 + r
B = 1 + r
B = 1 + (+1)
B = 2
Now, the value of B is greater than 1 therefore, the corresponding growth factor is 2.
Learn more about growth and decay factor here:
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Answer:
False
Step-by-step explanation:
In this question, you roll 3 from the standard die and then add it with the next roll to see if the sums are greater than 4.
From this explanation you can see that you use the result from your first roll for the second event, so we can conclude that the event is dependent.
Imagine if we change the result of the first roll into 5, without adding the second roll we can know that the sum will be greater than 4. The first event result will influence the second event, so it is a dependent event.
Answer:
Step-by-step explanation:
The compound amount formula is A = P(1 + r/n)^(n*t), where n is the number of times interest is compounded per year and t is the number of years.
We could let n = 365 (since there are 365 days in each year). Then,
A = P(1 + r/365)^(365*t).
Then, in this case, A = $10,000(1 + 0.052/365)^(365*20), or
A = $10,000(1 + 0.000142)^7300, or
A = $10,000(2.829)
A = $28,290.07
Answer:
x = 3
Step-by-step explanation:
5(2 - x) = 7x - 26
Distribute;
10 - 5x = 7x - 26
Add 5x to both sides;
10 = 12x - 26
Add 26 to both sides;
36 = 12x
Divide both sides by 12;
x = 3