Answer: 3
Step-by-step explanation: because have 20$
2^(-6) or 1/(2^6) . You can pick either one
Answer:
the horizontal distance is increasing at a rate of 4.953 in/s
Step-by-step explanation:
since the rod is leaning up against the wall and its length L is constant , then the relationship between y ( vertical distance ) , x (horizontal distance ) and L is
x² + y² = L²
then using derivatives with respect to the time t in both sides of the equation
2*x*dx/dt + 2*y*dy/dt = 0
dx/dt = y/x*dy/dt
since we know that x² + y² = L² → x= √(L² -y²) , then
dx/dt = -y/√(L² -y²)*dy/dt
replacing values
dx/dt = -153 in /√[(165 in)² -(153 in)²]* (-2 in/s) = 4.953 in/s
therefore the horizontal distance is increasing at a rate of 4.953 in/s
Answer:
This year the business earned about 50 times as much as it did last year
Step-by-step explanation:
I got this answer because you have to have the same exponents so for the last year's income the exponent is 6 so you have to raise that up to 8 so you have to move the decimal of 4.1, two places to the left which will get you 0.041 and so you divide 2.05 by 0.041 and you get 50 so 2.05 is 50 times bigger than 0.041. I hope this helped.
To solve this, you'll need the interest formula: <span> P(1 + rt).
Then, plug in the numbers:
$500(1.08*3) = $1,620. That's your answer.</span>
