The correct answer is B) <span>x + 4 = 3x + 6
Since both equations start with y = something, we can set the two equations equal to each other and solve.</span>
Answer:
$321562.50
Step-by-step explanation:
Exponential growth can be modeled by the formula , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.
To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus
To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in
Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in , and go from there.
Our final value is then
. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)
Answer:
(53, -17/2)
Step-by-step explanation:
When you have transformatons a * f(b(x-c)) + d there are two steps to transform.
Step 1, multiply x by 1/b and multiply y by a pay attention to posities and negatives.
Step 2 add c (keep in mind if you have -c you add c and if you have +c you subtract) to x and d to y.
In your example the transformation is 1/2 f(-1/3 (x+4)) - 7 so
a = 1/2
b = -1/3
c = 4
d = -7
and the point is initially (-19, -3)
Now lets do the two steps
multiply x by 1/b and multiply y by a pay attention to posities and negatives.
b = -1/3 so 1/3 = -3 and a = 1/2 x = -19 and y = -3 So we do -19 * -3 and -3 * 1/2. This gives us the new point (57, -3/2)
Now step 2 add c (keep in mind if you have -c you add c and if you have +c you subtract) to x and d to y.
Now our point is (57, -3/2) and c = 4 and d = -7 so we do 57-4 and -3/2 - 7
This gets us (53, -17/2)
Let me know if there is anything you don't understand.
Its C because it can’t independent because of its the value of the hours and distance, your welcome ;)