Answer:
The x intercept is (-5,0)
Step-by-step explanation:
1. First, it would be helpful to rewrite the equation to be in y=mx+b form.
5y=4x+20
y=(4/5)x+4
2. Then, plug in 0 for y.
0=(4/5)x+4
3. Then, solve.
-4=(4/5)x
-20=4x
x=-5
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
Answer: The amount of money in his account after 4 years = $7,658.73
Step-by-step explanation:
If interest is compounded annually, then formula to compute amount :
, where P+ principal value, r= rate of interest, n= time ( in years).
As per given,
P= $6700 , r = 3.4% =0.034, n =4
Hence, the amount of money in his account after 4 years = $7,658.73
For that case the new circumference is:
C = 9 - 2
C = 7 inches
By definition, the circumference is:
C = 2 * pi * r
Where,
r: radio
Substituting values:
7 = 2 * pi * r
Clearing the radio:
r = 7 / (2 * pi)
Then, the diameter is:
d = 2 * r
Substituting:
d = 2 * (7 / (2 * pi))
d = 2.228169203
Round to the hundredth:
d = 2.23 inches
Answer:
The diameter of the roll after the decrease is:
d = 2.23 inches