Answer:
$31.37 is the sale price
Step-by-step explanation:
All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.
1. Store A. 40% off the original price of $159.99
63.996 is the discount price we are looking for
2. Store B. 25% off the original price of $130.50
32.625 is the discount price we are looking for
3. Now to find their difference you just subtract the two values.
The discount price (sale price) is $31.371
Answer:
a)
b)
c)
d)
e)
And we take the absolute value on the middle integral because the distance can't be negative.
f)
g) The particle is speeding up
And would be slowing down from
Step-by-step explanation:
For this case we have the following function given:
Part a: Find the velocity at time t.
For this case we just need to take the derivate of the position function respect to t like this:
Part b: What is the velocity after 3 s?
For this case we just need to replace t=3 s into the velocity equation and we got:
Part c: When is the particle at rest?
The particle would be at rest when the velocity would be 0 so we need to solve the following equation:
We can divide both sides of the equation by 3 and we got:
And if we factorize we need to find two numbers that added gives -6 and multiplied 5, so we got:
And for this case we got
Part d: When is the particle moving in the positive direction? (Enter your answer in interval notation.)
For this case the particle is moving in the positive direction when the velocity is higher than 0:
So then the intervals positive are
Part e: Find the total distance traveled during the first 6 s.
We can calculate the total distance with the following integral:
And if we replace we got:
And we take the absolute value on the middle integral because the distance can't be negative.
Part f: Find the acceleration at time t.
For this case we ust need to take the derivate of the velocity respect to the time like this:
Part g and h
The particle is speeding up
And would be slowing down from
