Answer:
Step-by-step explanation:
we see that y = -3x-3
substitute that into the other equation to get
-3x-3 = 2x+7
-5x = 10
x = -2
so, y = -3(-2)-3 = 3
check to make sure (-2,3) solves both equations.
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
Use the compound interest equation: 1000 * 1.035^6 = 1229.26 dollars, to the nearest cent
<h2>
Answer:</h2>
and,
<h2>
Step-by-step explanation:</h2>
In the question,
Taking the elevation of pool along the y-axis, and length of the board along the x-axis.
On drawing the illustration in the co-ordinate system we get,
lₓ = 2 m
uₓ = 2.5 m/s
and,
So,
From the equations of the laws of motion we can state that,
So,
On putting the values we can say that,
Now,
The <u>equation of the motion in the horizontal</u> can be given by,
<em><u>Therefore, the equations of the motions in the horizontal and verticals are,</u></em>
and,
Answer:
missing angle = 70 degrees
Step-by-step explanation:
180 -120 =60, because supplemenatery angles add up to 180 degrees.
sum of all angles of a triangle = 180. so 180-60-50=70 degrees
