Answer: $19.02
Step-by-step explanation:
First find the sales tax paid. It will be paid on the cost of the meal:
= 14.20 * 8%
= $1.14
Then find the tip which was done after the sales tax was added:
= 24% * (14.20 + 1.14)
= 24% * 15.34
= $3.68
The total cost is:
= Gross amount + Sales tax + tip
= 14.20 + 1.14 + 3.68
= $19.02
Answer:
(1/2, 3/2)
Step-by-step explanation:
solve the 1st variable in one of the equations and then substitute it and the result will be turned into the other equation.
Answer:
The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
Step-by-step explanation:
Let x be the amount in the account at 12% interest
So, 6000-x is the amount in the second account at 7% interest
![SI = \frac{P \times T \times R}{100}](https://tex.z-dn.net/?f=SI%20%3D%20%5Cfrac%7BP%20%5Ctimes%20T%20%5Ctimes%20R%7D%7B100%7D)
First account:![SI=\frac{x \times 1 \times 12}{100}](https://tex.z-dn.net/?f=SI%3D%5Cfrac%7Bx%20%5Ctimes%201%20%5Ctimes%2012%7D%7B100%7D)
Second account : ![SI =\frac{(6000-x) \times 1 \times 7}{100}](https://tex.z-dn.net/?f=SI%20%3D%5Cfrac%7B%286000-x%29%20%5Ctimes%201%20%5Ctimes%207%7D%7B100%7D)
We are given that At the end of the first year he had earned $590 in interest.
So, ![\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%5Ctimes%201%20%5Ctimes%2012%7D%7B100%7D%2B%5Cfrac%7B%286000-x%29%20%5Ctimes%201%20%5Ctimes%207%7D%7B100%7D%3D590%5C%5Cx%3D3400)
So,the amount in the account at 12% interest is $3400
The amount in the second account at 7% interest =6000-x=6000-3400=2600
Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
When multiplying exponents, remember the first rule: when multiplying similar bases, add powers together. 52% + 56% =? The bases of the equation remain unchanged, while the exponents' values are added together. Adding the exponents is only a quick way to get at the answer. Simply add the exponents to multiply exponential expressions with the same base. Simplify. The product rule applies because the base of both exponents is a. With a common basis, add the exponents.
It would take the tortoise 1 minutes and 15 seconds