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Vlada [557]
3 years ago
6

1. A family went out to dinner, and their food and beverage totaled $51.39. 6% sales tax is added to their bill, and then they p

lan to leave a 15% tip. What will the total cost of their bill be?
Mathematics
1 answer:
kompoz [17]3 years ago
7 0

Answer:

62.1819

Step-by-step explanation:

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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
gavmur [86]

If

\nabla f=(ye^x+\sin y)\,\vec\imath+(e^x+x\cos y)\,\vec\jmath

then

\dfrac{\partial f}{\partial x}=ye^x+\sin y\implies f(x,y)=ye^x+x\sin y+g(y)

Differentiating with respec to y gives

\dfrac{\partial f}{\partial y}=e^x+x\cos y=e^x+x\cos y+g'(y)

\implies g'(y)=0\implies g(y)=C

So F is indeed conservative, and

f(x,y)=ye^x+x\sin y+C

3 0
3 years ago
Find the product. 1.5m6(-2m2)4
kogti [31]

9514 1404 393

Answer:

  24m^14

Step-by-step explanation:

It looks like you want to simplify ...

  1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}

__

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

5 0
3 years ago
Rowan has $50 in a savings jar and is putting in $5 every week. Jonah has $10 in his own jar and is putting in $15 every week. E
Harrizon [31]

Answer:

(3) Jonah's graph has a steeper slope than Rowan's

Step-by-step explanation:

First we are going to write the equations for the amount of money that each one save

y = a+bx

 Where y: Amount of money in the jar

             a: Initial saving

             b: Money saved every week ( graph's slope )

             x: Number of week

Then, for Rowan

y = 50 + 5x

and for Jonah

y = 10 + 15x

Initially Rowan's graph lies above Jonah's graph but this situation change with time.

It is always true that Jonah's graph has a steeper slope than Rowan's, because for Rowan's graph the slope is 5 and for Jonah's graph the slope is 15

Then the answer is:  

(3) Jonah's graph has a steeper slope than Rowan's

5 0
3 years ago
HELP HELP HELP HELP HELP HELP HELP HELP
Vladimir79 [104]

Answer:

2.25

Step-by-step explanation:

in order to find the scale factor from A to B you need to divide B by A. 13.5÷6=2.25. 11.25÷5=2.25 and 4.5÷2=2.25.

therefore the scale factor is 2.25 because when you multiply the sides from A by 2.25 you get the length of the side from B.

5 0
3 years ago
1.) Meaghan is thinking of a mystery number. She cuts it in half then adds 5 the result is 24 determine the mystery number
Igoryamba

The answer to number 1 is subtract 5 from 24 to get 19, then multiply 19 by 2 to get 38 as your final answer. I hope this helps!


6 0
3 years ago
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