Answer:
1/5
Step-by-step explanation:
Answer:
x^4-11x^2+28
Step-by-step explanation:
- Set it up
x^2(x^2-4) -7(x^2-4)
2. Multiply
x^4-4x^2-7x^2+28
3. Simplify
x^4-11x^2+28
Answer:
Step-by-step explanation:
In parallelogram, diagonals bisect each other
DP = IP
7x - 8 = 3x
7x = 3x + 8
7x - 3x = 8
4x = 8
x = 8/4
x = 2
NP = YP
3y = 7x - 2
3y = 7*2 - 2
3y = 14 - 2
3y = 12
y = 12/3
y = 4
Answer:
Sum of money invested in corporate bonds = 30,000
Step-by-step explanation:
Total sum = 40,000
The rate of interest for corporate bonds = 10 % = 0.1
The rate of interest for municipal bonds = 6 % = 0.06
Total interest = 3600
Let sum of money invested in corporate bonds = x
The sum of money invested in municipal bonds = 40000 - x
× 0.1 × 1 + (
) × 0.06 × 1 = 3600
(0.1- 0.06) + 2400 = 3600
0.04 = 1200
= 30,000
Since x = sum of money invested in corporate bonds
So sum of money invested in corporate bonds = 30000
Answer:
2.15
Step-by-step explanation:
Let g= cost of granola bars
b = cost of bottles of water
10g+12b =23
5g +4b = 10
I will solve this system by elimination
Multiply the second equation by -2
-2(5g +4b) = -2*10
-10g -8b = -20
Now we add this equation to the first equation to eliminate g
-10g -8b = -20
10g+12b =23
---------------------
4b = 3
b = 3/4
A bottle of water = $.75
Now we need to find g
5g+4b =10
5g +4(.75) = 10
5g +3 = 10
Subtract 3 from each side
5g +3-3 = 10-3
5g =7
Divide by 5
5g/5=7/5
g = 7/5
g = 1 2/5
g =1.40
We want the cost of one bottle of water and 1 granola bar
1g + 1b
1.4+.75
2.15
