Answer:
x= -2 and (x+3)=0, x= -3
Step-by-step explanation:
"The sum of a number" well we do not know what the number is right, so let's call the number x. So we know we have x and we are adding it to something because it says sum. What are we adding it to? "5 times its reciprocal". A reciprocal of a number is equal to 1/the number. So the reciprocal of x is just 1/x. But we want 5 times this so multiply by 5. So now we have x + 5(1/x). Now we need to set it equal to something to be able to solve it. The problem says the sum of a number and 5 times its reciprocal is -6, so x + 5(1/x) = -6. Now just use order of operations to solve for x. First multiply: x + 5/x =-6. Then the next stperfect is harder because we want to get x by itself but we have x + 5/x. A trick you can do here is multiply the whole equation by x. This cancels out the fraction for us: x(x + 5/x) = -6(x) becomes x^2 +5 = -6x. Now we have a quadratic equation, to solve this you have to Factor or use the quadratic formula. I'll try factoring: first we need all of the terms on one side: x^2 +5x +6 =0. Now we need factors of 6 that add or subtract to 5. There are a couple of options here we could use 6 and -1 or 2 and 3. 6 and -1 would not work because both signs in the equation are plus which means we need our factors to both be positive, also if you tried 6 and -1 and then foiled out the factors to check it, it would not work. So 2 and 3 have to be the factors so the equations equals (x+2)(x+3)=0. Now we set each factor equal to zero and solve for x: (x+2)=0, x= -2 and (x+3)=0, x= -3. Those are the two numbers that would work! Hope this helps!!
Answer:
29
Step-by-step explanation:
5^2 = 25
25 + 4 = 29
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the following Double Angle Identities: cos 2A = 1 - 2sin²A
sin 2A = 2sinA · cosA
<u>Proof LHS = RHS</u>
y cos 2A + x sin 2A = y
x sin 2A = y - y cos 2A
x sin 2A = y(1 - cos 2A)
This is a TRUE statement since it was given that 
Answer:
Project A :
NPV : $703,888.64
IRR : 44.882%
Project B:
NPV : $5,241.26
IRR : 49.662%
Project B is more profitable
Step-by-step explanation:
The NPV gives the difference between the present value of cash inflow and cash outflow over a certain period of time.
The Internal rate of return is the discount rate which makes the NPV of an investment 0. It is used to estimate the potential return on an investment. Investments with higher IRR are said to be better than those with lower IRR value.
Using the net present value, (NPV) Calculator, the NPV for project A is : $703,888.64
The IRR of project A is : 44.882%
The NPV for Project B is : $5,241.26
The Internal rate of return (IRR) : 49.662%
From the Internal rate of return value obtained, we can conclude that, project B is more profitable as it has a higher IRR than project A.
