Answer:
=452.16 ft^3
Step-by-step explanation:
Volume of cylinder formula: V=πr^2(h)
Note: Diamater/2=radius
Plug-in: V=3.14(4)^2(9)
=452.16 ft^3
Answer:
y=(5/2)x+(-11/2)
Problem: What is the slope-intercept form for a line going through (3,2) and is parallel to y=(5/2)x-5?
Step-by-step explanation:
Parallel lines have the same slope.
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept. So we see that m=5/2 since that is the slope of y=5/2 x-5.
y=(5/2)x+b
We know (x,y)=(3,2) is a point on the line so replacing x with 3 and y with 2 gives:
2=(5/2)(3)+b
2=(15/2)+b
Subtract 15/2 on both sides:
2-(15/2)=b
Simplify:
(4-15)/2=b
(-11/2)=b
So the equation is:
y=(5/2)x+(-11/2)
Answer:
$52.44
Step-by-step explanation:
Long method:
1. Convert the percentage into a decimal (15/100 = 0.15)
2. Multiply the decimal by the cost of the haircut (0.15 x $45.60 = $6.84)
3. Add this product by the cost of the haircut ($6.84 + $45.60 = $52.44)
Quicker Way (easier w/ a calculator)
1. Add 100% to the percentage she wants to add (100% + 15% = 115%) You can also express this as a number (115/100 = 1.15)
2. Multiply this new percentage by the cost of the haircut (1.15 x $45.60 = 52.44)
In a single equation, it would be
Answer:
10 cm
Step-by-step explanation:
The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:
(60 cm)/6 = 10 cm . . . length of a side
Answer:
3.95%
Step-by-step explanation:
An interest-bearing account paying a stated nominal or annual interest rate of 3.880% compounded monthly, would translate to an Annual Percentage Yield (APY) or Effective Annual Rate (EAR) of 3.95%. This means that $100.00 will grow to $103.95 ($103.95 rounded) after one year.
