Answer:
Tax is C 4.12
Tip is E 15.00
total =94.10
Step-by-step explanation:
Tax = bill * tax rate
= 74.98 * 5.5%
= 74.98 * .055
= 4.1239
To the nearest cent = 4.12
Tip = bill * tip rate
= 74.98 * 20%
= 74.98 *.2
= 14.996
To the nearest cent = 15.00
The total bill is
Final = bill + tax+ tip
= 74.98 + 4.12+15
= 94.10
Answer:
yes, if |a|=|b| then a = b......
Answer:
152
Step-by-step explanation:
The amount of fish caught is at a constant decreasing rate of 17. 203-186=17, 186-169=17, 169-17=152. So all you have to do is subtract the constant rate from the last known number.
A good place to start is to set 
to y. That would mean we are looking for 
to be an integer. Clearly, 
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since 
is a radical, it only outputs values from ![[0,\infty]](https://tex.z-dn.net/?f=%20%5B0%2C%5Cinfty%5D%20)
, which means y is on the closed interval: ![[0,120]](https://tex.z-dn.net/?f=%20%5B0%2C120%5D%20)
.
With that, we don't really have to consider y anymore, since we know the interval that is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:
Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.
