Answer: 18x^3-9x^2+21x
Solution:
3x(6x^2-3x+7)=
Applying the distributive property in the multiplication to eliminate the parentheses:
(3x)(6x^2)+(3x)(-3x)+(3x)(7)=
(3*6)x^(1+2)+3*(-3)x^(1+1)+(3*7)x=
18x^3-9x^2+21x
Answer:
3 1/8
Step-by-step explanation:
4+3=7
7/8+1/8= 1
7+1=8
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
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
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