So to find how much Ruben will make if he works 4 hours a day as a cashier and 3 hours a day as a waiter for 5 days per week first we'll work on his cashier job. So he makes 4$ an hour as a cashier and her works 4 hours every day for 5 days, multiply 4 by 4 and you'll get 16, so he makes 16 dollars per day as a cashier. now that we know how much he makes a day we simply have to multiply 16 by 5 since he works for 5 days every week. 16*5 is 80, so Ruben makes 80 dollars working 4 hours a day for 5 days. Now we move onto his waiter job. he makes 5.50 an hour as a waiter and her works 3 hours a day. So we multiply 3 by 5.50 to get 16.5. Next, we multiply 16.5 by 5 since he also works 5 days a week as a waiter. 16.5*5 is equal to 82.5. now we add 82.5 and 80 to get 162.5. SO Ruben makes 162.5$ working both jobs 5 days a week
Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
Answer: 32 tickets
Step-by-step explanation:
Since the theater rents their space for $250 per night and the company charges $8 per ticket, the least number of tickets that must be sold in order to make a profit will be:
= ($250/8)
= 31 1/4
The number gotten above is the number that'll bring about an Equilibrium. To make a profit the company must sell at least 32 tickets
Answer: ![\sqrt[]{\frac{1}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)
Step-by-step explanation:
![\sqrt[]{3x}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3x%7D)
![\sqrt[]{3(\frac{1}{9}) }](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3%28%5Cfrac%7B1%7D%7B9%7D%29%20%7D)
Answer:
12.1
Step-by-step explanation:
Let the number be " x ".
The sum of a number and 2.6,
x + 2.6
1/3 times the sum of a number and 2.6
1/3 * ( x + 2.6 ) = ( x + 2.6 )/3
1/3 times the sum of a number and 2.6 is 4.9
( x + 2.6 )/3 = 4.9
x + 2.6 = 4.9 * 3
x + 2.6 = 14.7
x = 14.7 - 2.6
x = 12.1
Therefore,
the number is 12.1
