Answer:
y=-3/2x+5
Step-by-step explanation:
3x + 2y = -4
2y=-4-3x /:2
y=-4/2-3x/2
y=-3/2x-2
Slope=-3/2(=m) , because this line is parallel slope is the same, then
y-y1=m(x-x1) ,where
A(4,-1).... x1 =4, y1 =-1
y-(-1)=-3/2(x-4)
y+1=-3/2x+3/2*4
y+1=-3/2x+6
y=-3/2x+6-1
y=-3/2x+5
Answer:
2.5 times
Step-by-step explanation:
To compare the two quantities, find a common denominator.
1/5 is 2/10 of sugar.
1/2 cup of flour is 5/10 of flour.
There is almost 3 times as much flour as sugar. 5/ 2 = 2.5. It is 2.5 times as much.
Answer:
a) $3,571.02
b) $3,572.9
c) $3,573.74
Step-by-step explanation:
Data provided in the question:
p = $3000,
r = 3.5%,
t = 5 years
a) quarterly
number of periods in a year, n = 4
Interest rate per period = 3.5% ÷ 4 = 0.875%
Now,

A = total amount
n = number of times compounded per year
on substituting the respective values, we get
A = 3000 ×
A = 3000 × [/tex]\cdot { 1.00875 } ^ { 20 }[/tex]
A = 3000 × 1.19034
A = $3,571.02
b) monthly
number of periods in a year, n = 12
Now,
A = 
on substituting the respective values, we get
A = 3000 ×
A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]
A = 3000 × 1.190967
A = $3,572.9
c) continuously
A = 
on substituting the respective values, we get
A = 3,000 × 
or
A = 3,000 × 
or
A = 3,000 × 1.1912
or
A = $3,573.74
Answer:
(1, -1/2)
Step-by-step explanation:
7x - 2y = 8
5x + 2y = 4
I would use elimination to get rid of y
Add the two equations together
7x - 2y = 8
5x + 2y = 4
-------------------------
12x = 12
Divide each side by 12
x =1
Now find y
5x+2y = 4
5*1 +2y =4
Subtract 5 from each side
5+2y -5 = 4-5
2y = -1
Divide by 2
2y/2 =-1/2
y = -1/2
X - 0.16x = 302.40....with x representing the original price
0.84x = 302.40
x = 302.40 / 0.84
x = 360 <== original price