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
<u>Answer:</u>
The polynomial is 
.
<u>Explanation:</u>
Given:
Real zeros: -3,0,2
Degree 3
To Find:
The polynomial
Solution:
Now, according to given information, x = -3, x = 0 and x = 2 are zeros of equation.
Then, x – (-3) x + 3, x and x – 2 are the factors of the equation.
Now, multiply the factors, such that we will get equation.
x(x + 3)(x – 2)
Answer:
Step-by-step explanation:
<u>Quadrant I examples:</u>
<u>Quadrant II examples:</u>
<u>Quadrant III examples:</u>
<u>Quadrant IV examples:</u>
Answer:
x = 12
Step-by-step explanation:
The mistake made here is in making 130 = 9x + 7. They are not the same.
The central angle = 130 degrees.
Any angle sharing the endpoints of the central angle and having it's vertex on the same side of the central angle is 1/2 the central angle.
1/2 the central angle = 130 /2 = 65
Cyclic quadrilaterals (those with all 4 points touching a circle's circumference) have opposite angles supplementary.
65 + 9x + 7 = 180 Combine like terms on the left
72 + 9x = 180 Subtract 72 from both sides
72 - 72 + 9x = 180-72 Combine
9x = 108 Divide by 9
9x/9 = 108/9
x = 12
Answer: 2.5 or 2 1/2.
Step-by-step explanation:
