Answer: It will take approximately 21 years.
Step-by-step explanation:
6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)
Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)
Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x
Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.
For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75
Subtract the values to fill the second blank with 1.75 pounds.
Since they didn’t meet their goal, the last blank would be “less.”
I hope this helps! :)
Answer:
Step-by-step explanation:
Area of circle = π r²
r = 30
30² = 900
π = 3.14 or ≈ 3
A ≈ 900 × 3
A ≈ 2700
so C at 2830 is closest to the answer
Let the two numbers be x and y, then,
xy = -12 . . . (1)
x + y = -10 . . . (2)
From (2), x = -10 - y . . . (3)
Putting (3) into (1), gives
(-10 - y)y = -12
-10y - y^2 = -12
y^2 + 10y - 12 = 0

Therefore, the two numbers are

and
Answer:
0.9325
Step-by-step explanation:
Given
n = sample size = 80
p = probability = 0.4
q = 1 – p = 0..6
standard deviation for the proportion = √ (p * q) /n = √(0.4*0.6)/80 = 0.0547
for the proportion mean is 0.4
now we can find z and the probability
P (0.3<mean<0.5) = P((0.3– 0.4)/0.0547 < z < (0.5– 0.4)/0.0547)
P (0.3<mean<0.5) = P(-1.828< z < 1.828)
Using a z table
P (0.3<mean<0.5) = 0.9325