Answer: The tip would be $11.88.
Step-by-step explanation: Basically, to find the tip of the bill you need to multiply the total, $74.25 by the tip amount which is 16%. To do this you will first need to convert 16% to a decimal. To find the decimal, divide 16 by 100 to get 0.16. Next, you will need to multiply the total of the bill $74.25 by the decimal 0.16. 74.25 multiplied by 0.16 is 11.88. So, the tip would be $11.88.
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
Answer:
Hence final answer is $15.17
Step-by-step explanation:
Given that Dirk opened up a savings account with $600.
So P=$600
"At a yearly interest rate of 5 percent"
Means r=5% = 0.05
"compounded monthly" means n=12
i= monthly rate of interest = r/n=0.05/12
"how much interest will Dirk earn in six months." means find Interest when time is 6 months
Plug these values into compound interest formula:
A=615.169372966
which is approx
A=615.17
Now interest earned will be difference of A and P
Interest =A-P=615.17-600=$15.17
Hence final answer is $15.17
H= 12.4
I assume this is a rectangular prism. the formula is V=l*w*h
plug-in the known values
<span>V=3758.75 W=24.25 L=12.5
</span><span>3758.75 =24.25*12.5*H multiply terms
</span><span>3758.75=303.125H divide both sides by 303.125
12.4=H</span>
Answer:y = x 2 − 12 x The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. Interval Notation: ( − ∞ , ∞ ) Set-Builder Notation: { x | x ∈ R } The range is the set of all valid y values. Use the graph to find the range. Interval Notation: [ − 36 , ∞ ) Set-Builder Notation: { y | y ≥ − 36 } Determine the domain and range. Domain: ( − ∞ , ∞ ) , { x | x ∈ R } Range: [ − 36 , ∞ ) , { y | y ≥ − 36 }
Step-by-step explanation:
