Answer:
Step-by-step explanation:
Multiply $120 (cost of haircut) X .18 (18% in decimal form) to get the tip amt.
120 X .18 = 21.60
Now add $120 (haircut) + 21.60 (tip) together to get the total amt. she paid.
120 + 21.60 = $131.60
Carla gave her stylist $131.60 total
Given:
Charlie bought a new computer for $450 with his credit card.
He plans to pay the minimum payment of $25 per month.
To find:
The rate of change.
Solution:
Let y be the remaining amount of loan after x months.
Initial amount of loan = $450
Payment of one month = $25
Payment of x months = $25x
Now,
Remining amount = Initial amount of loan - Payment of x months
...(i)
The slope intercept form is
...(ii)
where, m is slope and b is y-intercept.
From (i) and (ii), we get
![m=-25](https://tex.z-dn.net/?f=m%3D-25)
Therefore, the rate of change is -25 dollars.
Let c= cost to rent each other
Let t= cost to rent each other
2c+3t=25
6T+5T=49
Multiply the 2nd equation by (-2) and add equation together
2c+3t=25
-12c-10t= 98
2t=98
T=49
Put this value into the 1st equation solve c
2c+3(49)=49
2c+147=49
2c=98
C=49
Cost to each chair and table are same 49.
Answer:
7)-6a
8)7
9)x-1
10)8-k
Step-by-step explanation:
Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer
Answer:
![\log_{10}(147) = 2.1673](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%28147%29%20%3D%202.1673)
Step-by-step explanation:
Given
![\log_{10} 3 = 0.4771](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%203%20%3D%200.4771)
![\log_{10} 5 = 0.6990](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%205%20%3D%200.6990)
![\log_{10} 7= 0.8451](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%207%3D%200.8451)
![\log_{10} 11 = 1.0414](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%2011%20%3D%201.0414)
Required
Evaluate ![\log_{10}(147)](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%28147%29)
Expand
![\log_{10}(147) = \log_{10}(49 * 3)](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%28147%29%20%3D%20%5Clog_%7B10%7D%2849%20%2A%203%29)
Further expand
![\log_{10}(147) = \log_{10}(7 * 7 * 3)](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%28147%29%20%3D%20%5Clog_%7B10%7D%287%20%2A%207%20%2A%203%29)
Apply product rule of logarithm
![\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%28147%29%20%3D%20%5Clog_%7B10%7D%287%29%20%2B%20%5Clog_%7B10%7D%287%29%20%2B%20%5Clog_%7B10%7D%283%29)
Substitute values for log(7) and log(3)
![\log_{10}(147) = 0.8451 + 0.8451 + 0.4771](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%28147%29%20%3D%200.8451%20%2B%200.8451%20%2B%200.4771)
![\log_{10}(147) = 2.1673](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%28147%29%20%3D%202.1673)