Answer:
Principal Invested in Municipal Bonds is $16,000
Principal Invested in Corporate Bonds is $15,000
Step-by-step explanation:
If;
Principal Invested in municipal bonds = a
Principal Invested in corporate bonds = b
then we have;
a + b = $31,000
--------------------------------Equation 1
0.075a + 0.085b = $2,475 ---------------Equation 2
From equation 1 we have;
a = 31,000 - b
By putting the values of a in Equation 2 we get;
0.075 (31,000 - b) + 0.085b = 2,475
2,325 - 0.075b + 0.085b = 2,475
0.01b = 150
b = $15,000
By putting the values of b in equation 1 we get;
a = $16,000
Answer:
The expression 
represents the radius of the soap dispenser.
The expression 
represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of 
, then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of that implies that the function of radius must have square as the exponent of , therefore, the expression will represent the radius of the soap dispenser and the expression 
represents the height of the soap dispenser.
Answer:
Step 2
Step-by-step explanation:
Step 2 is not correct. It should be abs(25 - - 26) = abs(25 + 26) = 51
Given that Step 2 is accepted (as - 1) then three is OK and and so is 4. But technically they are incorrect as well. I think you are likely to say that step 2 is the problem.
Step-by-step explanation:
I hope you got the hang of it.
I didn't had a place to draw the verbal questions, so I just did them in my head - if you want to understand it better
I suggest that you draw those triangles
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
