Answer:
$341.07
Step-by-step explanation:
Hanna and Dawson both invested at 3.2% = 0.032
Hannah has balance of 31,000 in account
Dawson has balance of 42000 in account
Interests earned by both are
1)Hannah -P(1+i)^-n
=31000(1+0.032)^-1
=31000(1.032)^-1
=31000(0.968992)
=$30038.752
=$30038.75
Interest earned by Dawson is $31,000 - $30038.75 = $961.25
2)Dawson- P(1+i)^-n
=42000(1+0.032)^-1
=42000(1.032)^-1
=42000(0.968992)
=$40697.664
=$$40697.664
Interest earned by Dawson is $42,000 - $40697.66= $1302.32
3) Hence the amount that Dawson earns than is:
=$1302.32-$961.25
= $341.07
<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
Answer:vertices
Step-by-step explanation:
<em>1) 5 c + 4 = - 26
5 c = -26 -4
5 c = -30
c = -30 / 5
c = -6 so correct option is B..
2) 3 x - x +2 = 12
2 x +2 = 12
2x = 12-2
2x = 10
x = 10/2
x= 5 so correct option is D
3 ) 3 ( x + 1 )+ 6 = 33
3x + 3 + 6 = 33
3x + 9 = 33
3x = 33-9
3x = 24
x = 24/3
x = 8 so correct option is B
4) y/-6=9
y=9 x -6
y= - 54 there is no such option i guess question is missing
5)(x + 4) /2 = 7
x +4 = 7 x 2
x + 4 = 14
x = 14-4
x = 10 so correct option is D
6)1/3 ( 2x - 8) = 4
2x/ 3 - 8 /3 = 4
2x - 8 / 3 = 4
2x - 8 = 4 x 3
2x - 8 = 12
2x = 12 + 8
2x = 20
x = 20/2
x = 10 so correct option is C
</em>
