Answer:
False.
Step-by-step explanation:
The answer is NOT 6 1/2 loaves it is 6 loaves.
Knowing that there Max has 5 1/4 cups of raisins and each loaf requires 7/8 cup of raisins, we would need to divide.
Let's turn the 5 1/4 into an improper fraction so when we divide the two fractions, it would be easier!
<u>To turn 5 1/4 into an improper fraction we need to...</u>
5 x 4 = 20
20 + 1
21/4
Now we divided 21/4 by 7/8.
When dividing fractions remember the rule: KEEP CHANGE FLIP!
We keep the first fraction...which is 21/4 in this case
Change the sign from division to multiplication
21/4 x 7/8
And flip 7/8 so it becomes 8/7
21/4 x 8/7
= 168/28
= 6 loaves
So, the answer is not 6 1/2 loaves (false!)
Answer:
Step-by-step explanation:
It is convenient to let technology help out. Some graphing calculators will accommodate a model of your choice. Others are restricted to particular models, of which yours may not be one.
A spreadsheet solver may also offer the ability to optimize two variables at once. For that, you would write a function that gives the sum of the squares of the differences between your data points and those predicted by the model. You would ask the solver to minimize that sum.
If you want to do this "the old-fashioned way," you would write the same "sum of squares" function and differentiate it with respect to m and b. Solve the simultaneous equations that make those derivatives zero. (My solver finds multiple solutions, so the neighborhood needs to be restricted in some way. For example m > 0, b > 0, or sum of squares < 1.)
-19.6 m/s
Do you need the math as well?
Answer:
x ≈ 65.4 °
Step-by-step explanation:
cos x = 
Cos x = 
Cos x = 0.4167
x = Cos⁻¹ (0.1467)
x ≈ 65.4 °
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%