Expand the following:
(x - 6) (3 x^2 + 10 x - 1)
Hint: | Multiply out (x - 6) (3 x^2 + 10 x - 1).
| | | | x | - | 6
| | 3 x^2 | + | 10 x | - | 1
| | | | -x | + | 6
| | 10 x^2 | - | 60 x | + | 0
3 x^3 | - | 18 x^2 | + | 0 x | + | 0
3 x^3 | - | 8 x^2 | - | 61 x | + | 6:
Answer: 3 x^3 - 8 x^2 - 61 x + 6 Thus B:
Slope = (7 + 2)/(-18 + 4) = 9/-14= - 9/14
Answer:
The total amount of interest Samantha will pay=$40,842.47
Step-by-step explanation:
Step 1: Determine expression of total interest amount to be payed
The expression for the total interest amount to be payed inclusive of interest is given by;
A=P(1+r/n)^(nt)-P
where;
A=total amount of interest to be payed
P=principal loan amount
r=annual interest rate
n=number of compounding periods in a year
t=number of years
In our case;
P=$40,000
r=4.7%=4.7/100=0.047
n=12
t=15 years
replacing;
A=40,000(1+0.047/12)^(12×15)-40,000
A=40,000(1.00392)^180-40,000
A=40,842.46821
The amount rounded of to the nearest cents=1/100=0.01, round off to the nearest 2 decimal places=40,842.47
The total amount of interest Samantha will pay=$40,842.47
