The scale factor is 1.5. The dilation rule is : (x,y)-------(.15x,1.5y)
Step-by-step explanation:
Dilation is a transformation that maps an object to an image of the same shape as the original object to form a different size image.When a larger image is produced it's called an enlargement where as when a small image is produced, it's called a reduction.
The rule of dilation, with center as the origin follows;
(x,y)------(sx,sy) where s is the scale factor. To find the scale factor, select one of the vertices of the object and of the image at divide the coordinate of image with that of object.
Taking O(2,16) and O'(3,24), the scale factor will be;
s*2=3
2s=3
s=3/2 =1.5
or
s*16=24
16s=24
s=24/16=3/2=1.5
The scale factor is 1.5, hence the dilation rule is;
(x,y)-------(.15x,1.5y)
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Dilation:brainly.com/question/10945890
Keywords: dilation, vertices, origin, scale factor, translation
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Answer:
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Step-by-step explanation:
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Answer:
unpaid balance is $156439.86
Step-by-step explanation:
present value= $190000
rate = 3% monthly = 3/12 = 0.25 % = 0.0025
time = 25 year = 25 × 12 300
to find out
the unpaid balance
solution
first we calculate monthly payment
payment = principal ( 1- (1+r)^(-t) /r )
and we put all value here
190000 = principal ( 1- (1+0.0025)^(-300) / 0.0025 )
principal = 190000 / ( 1- (1+0.0025)^(-300) / 0.0025 )
principal = 901
so after 6 year unpaid is
present value = principal ( 1- (1+r)^(-t) /r )
put here principal 901 and rate 0.0025 and time 300 - (year )
time = 300 - (6*12) = 300 - 96 = 228
payment = 901 ( 1- (1+0.0025)^(-228) / 0.0025 )
payment = 901 ( 713.63)
so unpaid balance is $156439.86
