Answer:
2.80
Step-by-step explanation:
The discount is the regular price times the discount
discount = 19 *15%
discount = 2.85
The new price is the regular price minus the discount
new price = 19-2.85
=16.15
Now she has to pay the sales tax
tax = new price * tax rate
tax= 16.15 * 6.5%
= 16.15 *.065
=1.05
We add the tax to the new price to get the final price
final price = new price+tax
= 16.15 +1.05
=17.20
She pays with a 20 dollar bill
Change = payment - final price
=20.00 - 17.20
= 2.80
Should be 67 or 113 if not then it’s probably 157
Answer:
Step-by-step explanation:
They are just asking you to compare
to
.
What constant values are in the place of 
.
Answer:
We want to solve the equation:
(6 - 1) + (3m)i = -12 + 27i
Where m is a complex number.
first, we can rewrite this as:
5 + 3*m*i = -12 + 27*i
3*m*i = -12 - 5 + 27*i
3*m*i = -17 + 27*i
And we can write m as:
m = a + b*i
Replacing that in the above equation we get:
3*(a + b*i)*i = -17 + 27*i
3*a*i + 3*b*i^2 = -17 + 27*i
and we know that i^2 = -1
3*a*i - 3*b = -17 + 27*i
The real part in the left (-3*b) must be equal to the real part in the right (-17)
then:
-3*b = -17
b = -17/-3 = 17/3
And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)
then:
3*a = 27
a = 27/3.
Then the value of m is:
m = a + b*i = (27/3) + (17/3)*i
Answer: Speed = 5.6 mph
Oxygen consumption = 71.6 mL/lb/min
Step-by-step explanation: For the oxygen consumption to be the same, functions must be equal:
f(x) = g(x)
Resolving:
x=0
5x - 28 = 0
x = 5.6
<u>The speed when the oxygen consuption is the same is </u><u>5.6 mph</u><u>.</u>
For the level of oxygen consumption:
f(5.6) = g(5.6)
g(5.6) = 11*5.6 + 10
g(5.6) = 71.6
<u>The level of oxygen consumption is </u><u>71.6 mL/lb/min</u>
