That's point-slope form:
y - y1 = m(x - x1)
Where y1 is the y-value of a point on the line, x1 is the x-value, and 'm' is the slope.
So let's find out what goes in the first blank.
As we can see, they replaced 'x1' with -1, and one of our points have an x-value of -1, that point is (-1, -2), this means y2 must be -2:
y + 2 = m(x + 1)
Now let's find the slope between the two points.
m = y2-y1/x2-x1
m = (10+2)/(3+1)
m = 12/4
m = 3
So the slope is 3, plug that in:
y + 2 = 3(x + 1)
Answer:
I belive it is 7,885
Step-by-step explanation:
From the definition of logarithm, we know that:
In this case
and
so:
so, that function is "defined", ok, what values of "x" are not in the domain, namely, what values can "x" take on and not make the function "undefined", well, you know, if we end up with a 0 at the denominator, like
then, we'd have an "undefined" expression...so... any values of "x" that make the denominator 0, are not really the ones we want, and thus they'd be excluded from the domain.
so, hmm which are those? let's check, let's set the denominator to 0, and solve for "x".
Answer:
If these are the only two options, the most profitable is the first option (6% and 10 years).
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,000
Number of periods (n)= 10 years or 5 years
Interest rate (i)= 6% or 10%
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
6% interest rate:
FV= 3,000*(1.06^10)
FV= $5,372.54
10% interest rate:
FV= 3,000*(1.1^5)
FV= $4,831.53
If these are the only two options, the most profitable is the first option (6% and 10 years).
