Answer:
let height of ||g be 'b', then base of ||g be 3b.
area of ||g=base×height
75cm
2
=3b×b
b
2
=25
b=5cm, therefore height =5cm
Because you're starting the company with 4 friends, there are 5 people in total. Therefore, if you do (400 × 5) + 525, you get the answer. 400 × 5 = 2000, and 2000 + 525 = $2525. I hope this helps! Let me know if you need me to explain anything :)
Answer: n= 32
Jakes started with 32
Step-by-step explanation:
Let n represent the initial integer.
Step 1: take the reciprocal.
Reciprocal of n = 1/n
Step 2: double the number obtained in step 1
= 2×1/n = 2/n
Step 3: take the reciprocal of the number obtained in step 2.
Reciprocal of 2/n = n/2
Since he ended up with 16
n/2 = 16
n = 2×16 = 32
Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way:

so

. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is:

. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b.

so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is