Answer:
Step-by-step explanation:
Given
--- Volume
--- Diameter
Required
Find the volume
First, we calculate the radius, r
Substitute 23 for D
Substitute 11.5 for r in
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
You need to find the mass and the volume first to be able to figure out the density
