Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
Answer:
$90
Step-by-step explanation:
Look at the number 7 on the bottom right of the graph. That means at the end of 7 weeks. Now look vertically up from there until you see a point directly above 7 weeks. Look to the left of that point, and you see that the point directly above 7 weeks is at the level of $90. That means that at the end of 7 weeks, he had $90.
Answer:
6.6%
Step-by-step explanation:
We find the cost of the bond. Yield to maturity is the yield for bond holder but cost for the issuer like Easy Slider.
Formula is
P=CP(1-(1+x)^-n)/x + FV/(1+x)^n
where P is the price of bond in the market. So, the selling price of Easy Slider Inc bond is 928
CP= coupon payment. Here, CP is 10% of 1000. So, $100
FV= Face value. Here, FV is $1000
n= maturity of the bond. Here, n=15
x= cost of the bond before tax
putting the value in the equation
928=100(1-(1+x)^-15)/x + 1000/(1+x)^15
solving for x, we get 0.1100
Now, if we find out after tax then
0.1100(1-T)= After tax cost
0.1100(1-0.4)
0.066 or 6.66%
Kshdnxnnxnxnxnxnnxnxnxnxnxnxnxn =5
Answer:
Total amount of fruits
40 apples and 15 oranges
Step-by-step explanation:
Is there answer choices? Without context I will suggest
Total amount of fruits
40 apples and 15 oranges
Anything with 40 being added to an amount of 15 to get a total of 55
