Answer:
x(x+2)(x-2)(x+1)(x-1)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,]a^{2} - b^{2} = (a+b)(a-b), where a = x and b = 2.
Answer:
y= 4
Step-by-step explanation:
Okay so this is inverse operations.
You have to move the 2y over underneath the 6y and subtract them, you should get 4y. Your problem should now look like this. 4y-20=-4
Now you need to more the +20 over underneath the -4 and add them. Your problem should now look like this. 4y= 16
You now divide 4 into 16 which will give you 4
So y= 4
Have a good day!
Answer:
18.68 feet
Step-by-step explanation:
- Just did the quiz
- Also plugged it into a calculator I found online
Answer:
Pretax cost of debt is 5.94%
After tax cost of debt is 4.63%
Step-by-step explanation:
The pretax cost of the debt is the yield to maturity on the debt issuance,which can be computed using the rate formula in excel:
=rate(nper,pmt,-pv,fv)
nper is the number of semi-annual interest payments payable by the bond from year 3 onward ,that is the number of years to maturity 12*2=24
pmt is the semi-annual interest payable by the bond issuer which is face value of the bond ,$1000*5%/2=$25
pv is the current price of the bond which 92% of face value i.e 92%*$1000=$920
fv is the face value of the bond at $1000
=rate(24,25,-920,1000)
rate=2.97%
the rate calculated is a semi-annual rate,annual rate =2.97%*2
=5.94%
The pretax cost of debt is 5.94%
After tax cost of debt=pretax cost of debt*(1-t)
t is the tax rate of 22%
after tax cost of debt =5.94%*(1-22%)
=4.63%
The shadow lengthened by 2.25 ft.
<u>Step-by-step explanation:</u>
Height of the lamppost is not needed here.
We can write the ratio as,
5 /4 = x/5
25 = 4x
x = 25/ 4
Now it is not needed to find the length of the new shadow, and so, we need to find the length of the added shadow.
25 / 4 - 16/ 4 = 25 - 16 / 4 = 9/4 = 2.25 ft
Length of the new shadow is 25/ 4 = 6.25 ft
So length of new shadow - length of old shadow = 6.25 - 4 = 2.25 ft shadow lengthened
