I did this to get 47.5 as the answer not 47 im not sure why but i did (61-7+7×1/2)+17 using the PEMDAS please excuse my dear aunt sally
parenthesis exponents multiply divide add subtract
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:
2x^2+16x-66
Step-by-step explanation:
Use FOIL (First, Outside, Inside, Last)
(2x-6)(x+11)
F- 2x*x=2x^2
O-2x*11=22x
I--6*x=-6x
L--6*11=-66
2x^2+22x-6x-66
Combine like terms
2x^2+16x-66
<span>seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)
2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12</span>
For any triangle, the 2 shortest sides added together have to be longer than the longest sides.
short side (10) + short side (5) needs to be greater than (>) longest side (20)
10 + 5 > 20
15 > 20
This inequality is incorrect, so the lengths cannot make a triangle.
Hope this helps :)