Your starting and ending points will be just inch apart.if you draw a line seven inches left, three inches up, two inches right,
1 answer:
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Answer:
The new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
Step-by-step explanation:
The rectangle ABCD on the grid shown is attached below.
From the grid, it is clear that the coordinates of point D are (-4, -4)
i.e. D(-4, -4)
As we are told that the figure is to be dilated from the origin.
A dilation tends to stretch or shrink the original figure, depending upon scale factor.
- If scale factor > 1, then the image gets enlarged
- If the scale factor < 1, the image gets reduction
When we dilate a figure from the origin by any scale factor, the new coordinates of the image can be obtained by multiplying the scale factor with the coordinates of the original object/figure.
As the the coordinates of point D are (-4, -4). If we dilate the figure by a scale factor of 1/2, the new new coordinates of point D would be:
P(x, y) → P'(1/2x, 1/2y)
D(-4, -4) → D'(-4/2, -4/2) or D'(-2, -2)
Therefore, the new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will get 18000
A=
A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years
1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?=
?=
?=
?=10138.4 will be earned
18000-10138.4=7861.6 needed
2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000=
18000=
18000=
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed
if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will get 18000
A=
A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years
1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?=
?=
?=
?=10138.4 will be earned
18000-10138.4=7861.6 needed
2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000=
18000=
18000=
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed
if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more
Answer:
$1340.49
Step-by-step explanation:
From the attached image
Subtotal Cost of Purchased Items
Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.
Discount = 23% of $1658 = 0.23 X 1658 =$381.34
Total (Less Discount) = 1658-381.34 = $1276.66
Tax on building materials is 5%.
Therefore:
Tax = 5% of $1276.66=0.05 X 1276.66
Tax=$63.83
Therefore, the total bill:
=$1276.66+63.83
Grand Total =$1340.49
