Answer:
(a) no solution
Step-by-step explanation:
Writing the second equation in slope-intercept form, it becomes ...
3x -y = 2 . . . . given
y = 3x -2 . . . . add y-2 to both sides
The first equation is already in slope-intercept form:
y = 3x +3 . . . . first equation
The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is <em>no solution</em>.
Use ac method
for ax²+bx+c=0 when a≠1
multiply a and c, let's call the product r
what 2 numbesr multiply to get r and add to get b
2y²+9y+9=0
2*9=18
wat 2 numbers multiply to get 18 and add to get 9
3 and 6
split it up to that
2y²+3y+6y+9=0
group
(2y²+3y)+(6y+9)=0
factor
y(2y+3)+3(2y+3)=0
undistribute
(y+3)(2y+3)=0
set to zero
y+3=0
y=-3
2y+3=0
2y=-3
y=-3/2
y=-3 and -3/2
it's factored form is (x+3)(2x+3)
you have to start at -2 on the y axis and go up 4 and across 7 and keep going until you're off the graph
Answer:
here
Step-by-step explanation:
https://doubtnut.s.llnwi.net/answer-1571137507_39149069.mp4
Answer:
(a) 3 years FV=$4,221.80
(b) 6 years FV=$5,092.46
(c) 9 years FV=$6,142.69
Step-by-step explanation:
The formula for continuously compounded interest is
FV = PV x e^(i x t)
where,
FV=future value of the investment,
PV= present value,
i = stated interest rate,
t = time in years,
e= mathematical constant approximated as 2.7183.
In this case,
PV=$3,500
i = 6.25%
(a) 3 years
FV = PV x e^(i x t)
FV = $3,500 x e^(6.25%x3)
FV=$4,221.80
(b) 6 years
FV = $3,500 x e^(6.25%x6)
FV=$5,092.46
(c) 9 years
FV = $3,500 x e^(6.25%x9)
FV=$6,142.69